Kira paid $15. 60 for 19. 5 centimeters of wire.

Find the unit price in dollars per centimeter.

If necessary, round your answer to the nearest cent.


HELP PLEASE!!! ASAP!!!

Answers

Answer 1

The unit price in dollars per centimeter is 80 cents.

:: Total wire length = 19.5 cm

:: Total amount paid = $15.60

Per unit price = [ (total amount paid) / (total wire length) ]

Per unit price = (15.60 / 19.5) $/cm

Per unit price = 0.8 ($/cm)

And as we know, $1 = 100 cents,

So,

$0.8 = 0.8 x 100 cents = 80 cents.

Therefore, the unit price in dollars per centimeter is 80 cents.

Read more about finding per unit price at:

https://brainly.com/question/29023044


Related Questions

Be Precise The base of a triangle is 2 ft. The
height of the triangle is 15 in. What is the area
of the triangle in square inches?

Answers

Thus, the area of triangle for the given values of height and base is found as:  180 sq. in.

Explain about the conversion units:

A number of steps are involved in the Unit of Conversion process, which involves multiplying or dividing by a numerical factor. There are numerous ways to measure things like weight, separation, and temperature.

Unit conversion is the process of changing the unit of measurement for a comparable quantity by multiplying or dividing by conversion factors.

Scientific notation is used to express the units, which are then translated into numerical values in accordance with the amounts.

Given data:

base of triangle b = 2 ft.Height h = 15 in.

We know that,

1 foot  = 12 in.

2 feet = 12*2 = 24 in.

Area of triangle = 1/2 * b * h

Area of triangle = 1/2 * 24 * 15

Area of triangle = 12* 15

Area of triangle = 180 sq. in

Thus, the area of triangle for the given values of height and base is found as:  180 sq. in.

know more about the conversion units:

https://brainly.com/question/13016491

#SPJ1

the battery life of the iphone has an approximately normal distribution with a mean of 10 hours and a standard deviation of 2 hours. if you randomly select an iphone, what is the probability that the battery will last more than 10 hours?

Answers

If you randomly select an iphone, The probability that the battery will last more than 10 hours is 0.5000.

Population mean, µ = 10

Population standard deviation, σ = 2

The likelihood that the battery will survive more than 10 hours is equal to

[tex]= P( X > 10)\\= P( (X-\mu)/\sigma > (10 - 10)/2)\\= P( z > 0)\\= 1- P( z < 0)\\[/tex]

Using excel function:

= 1- NORM.S.DIST(0, TRUE)

= 0.5000

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that describes a large class of phenomena observed in nature, social sciences, and engineering. It is often called the bell curve because of its characteristic shape, which is symmetric and bell-shaped.

The mean and the standard deviation are the two factors that define the normal distribution. The mean is the center of the distribution, and the standard deviation measures how much the data varies from the mean. The normal distribution has several important properties, including that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To learn more about Normal distribution visit here:

brainly.com/question/29509087

#SPJ4

Natalie saves money in her piggy bank. Maria saves money in a savings account at a bank.

Which statement about the savings plans is true?

Responses

Natalie uses a safer way to save money because she can protect her piggy bank.

Maria's way of saving money allows her to earn interest and make her money grow.

Maria will have less money because she must pay sales tax on her money.

Natalie's method of saving is better because Maria must pay interest on her money.

Answers

In a case whereby Natalie saves money in her piggy bank. Maria saves money in a savings account at a bank the statement about the savings plans that is true is B.Maria's way of saving money allows her to earn interest and make her money grow.

What is savings account ?

An efficient approach to keep your money safe and earning interest is in a savings account. You can keep your savings in a liquid state with a savings account, which allows you to access your money anytime you need to, while also creating some breathing room between your savings and your daily spending requirements.

Because of their safety, liquidity, and potential for collecting interest, savings accounts are a suitable way to put money set aside for future use. These accounts are perfect for saving for short-term objectives like a trip or home repair or for your emergency fund.

Learn more about  savings account  at:

https://brainly.com/question/25787382

#SPJ1

Find the number(s)
b
such that the average value of
f(x)=6x 2
−38x+40
on the interval
[0,b]
is equal to 16 . Select the correct method. Set
b
1

f(3)=16
and solve for
b
Set
f(b)=16
and solve for
b
Set
∫ 0
b

f(x)dx=16
and solve for
b
Set
b
1

∫ 0
b

f(x)dx=16
and solve for
b
b=
Use a comma to separate the answers as needed.

Answers

The value(s) of b that satisfies the given condition is/are 0.506 and 5.327.

How to find the average value of a given function over the interval?

We can use the method of setting the integral of f(x) over [0,b] equal to 16 and solving for b.

[tex]\begin{equation}\int 0 b f(x) d x=16\end{equation}[/tex]

Substituting [tex]f(x) = 6x^2 - 38x + 40[/tex], we get:

[tex]\begin{equation}\int 0 b\left(6 x^{\wedge} 2-38 x+40\right) d x=16\end{equation}[/tex]

Integrating with respect to x, we get:

[tex][2x^3 - 19x^2 + 40x]0b = 16[/tex]

Substituting b and simplifying, we get:

[tex]2b^3 - 19b^2 + 40b - 16 = 0[/tex]

Using numerical methods or polynomial factorization, we can find that the solutions to this equation are approximately 0.506 and 5.327.

Therefore, the value(s) of b that satisfies the given condition is/are 0.506 and 5.327.

Learn more about average value.

brainly.com/question/13964309

#SPJ11

Bailey has a sheet of plywood with four right angles. She saws off one of the angles and turns the plywood one-half turn clockwise
How many right angles are there on the plywood now?
Enter the correct answer in the box.

Answers

Answer:For each figure, which pair of angles appears congruent? How could you check?

Figure 1

3 angles. Angle A B C opens to the right, angles D E F and G H L open up.

Figure 2

3 angles. Angles M Z Y and P B K open up, angle R S L opens to the right.

Figure 3

Identical circles. Circle V with central angle GVD opens to the right, circle J with central angle LJX  opens to the left and circle N with central angle CNE opens up.

Figure 4

A figure of 3 circles. H. B. E.

Step-by-step explanation:

Antonia read an article that said 26% of Americans can speak more than one language. She was curious if


this figure was higher in her city, so she tested H, :p=0. 26 vs. H, :p > 0. 26, where p represents the


proportion of people in her city that can speak more than one language.


Antonia took a sample of 120 people in her city found that 35% of those sampled could speak more than


one language. The test statistic for these results was z ~ 2. 25, and the corresponding P-value was


approximately 0. 1. Assume that the conditions for inference were met.


Is there sufficient evidence at the a= 0. 05 level to conclude that the proportion of people in her city


that can speak more than one language is greater than 26%?

Answers

There is not sufficient evidence at the α=0.05 level to conclude that the proportion of people in Antonia's city that can speak more than one language is greater than 26%.

Here's a step-by-step explanation:

1. Identify the null hypothesis (H₀) and the alternative hypothesis (Hₐ): H₀: p = 0.26, Hₐ: p > 0.26.

2. Determine the significance level (α): α = 0.05.

3. Calculate the test statistic (z): In this case, z ≈ 2.25.

4. Determine the P-value: The P-value is given as approximately 0.1.

5. Compare the P-value to the significance level: If the P-value is less than or equal to the significance level (α), reject the null hypothesis. In this case, 0.1 > 0.05, so we do not reject the null hypothesis.

Based on the information provided, there is not sufficient evidence at the α=0.05 level to conclude that the proportion of people in Antonia's city that can speak more than one language is greater than 26%.

learn more about "hypothesis":-https://brainly.com/question/25263462

#SPJ11

(3x^3 y^2)^3 (2x^4 y^2)^2

Answers

Answer:

108y^10x^17

Step-by-step explanation:

Question 4 < > Evaluate ſtan® z sec"" zdz +C

Answers

To evaluate ſtan® z sec"" zdz +C, we can use integration by substitution. Let u = sec z, then du/dz = sec z tan z dz.

Using the identity 1 + tan^2 z = sec^2 z, we can rewrite the integral as:

∫ tan z (1 + tan^2 z) du

Simplifying this expression, we get:

∫ u^3 du

Integrating u^3 with respect to u, we get:

(u^4 / 4) + C

Substituting back u = sec z, we get:

(sec^4 z / 4) + C

Therefore, the solution to the integral ſtan® z sec"" zdz +C is (sec^4 z / 4) + C.
It seems like you are looking for the evaluation of an integral involving trigonometric functions. Your integral appears to be:

∫tan^n(z) * sec^m(z) dz + C

To solve this integral, we need the values of n and m. Please provide these values, and I'll be glad to assist you further in evaluating the integral.

To learn more about integration visit;

brainly.com/question/30900582

#SPJ11

Liang wants to form a chess club. His principal says that he can do that if Liang can find six players, including himself. How would you conduct a simulated model that estimates the probability that Liang will find at least five other players to join the club if he asks eight players who have a 70% chance of agreeing to join the club? Suggest a simulation model for Liang by describing how you would do the following parts

Answers

To conduct a simulated model that estimates the probability that Liang will find at least five other players to join the chess club if he asks eight players who have a 70% chance of agreeing to join.

We can use the following steps:

1. Define the variables:

  - n: the number of trials (i.e., the number of times Liang asks eight players to join)

  - p: the probability of success (i.e., the probability that a player agrees to join the club, which is 0.7)

  - k: the number of successes needed (i.e., the number of players, excluding Liang, that he needs to find to form the club, which is 5)

  - success: a counter to keep track of the number of successful trials (i.e., the number of times Liang finds at least five players to join)

2. Set the initial value of the success counter to 0.

3. Start a loop that runs n times. In each iteration of the loop:

  - Generate a random number between 0 and 1 using a random number generator.

  - If the random number is less than or equal to p, increment a "success count" variable.

  - If the success count variable reaches k, break out of the loop.

4. After the loop finishes, divide the success count variable by n to get the simulated probability that Liang will find at least five players to join the chess club.

5. Repeat the simulation multiple times (e.g., 1000 times) to obtain a distribution of simulated probabilities.

6. Calculate the mean and standard deviation of the simulated probabilities to estimate the most likely probability that Liang will find at least five players to join the chess club, and the range of probabilities that he is likely to obtain.

Note: This simulation model assumes that each player's decision to join the club is independent of the other players' decisions and that the probability of success (i.e., agreeing to join) is the same for each player. These assumptions may not always be accurate in practice.

To know more about simulated model, visit:

https://brainly.com/question/29219980#

#SPJ11

What type of model does the data suggest?


x: 0,1,2,3,4


y: 2. 5,5,10,20,40



either constant, exponential or linear

Answers

The data suggests that the model is exponential.

When we look at the values of y, we see that they are increasing at a much faster rate as x increases. For example, when x increases from 1 to 2, y doubles from 5 to 10, and when x increases from 3 to 4, y doubles from 20 to 40. This is a characteristic of exponential growth where the rate of increase gets larger and larger as the quantity being measured gets larger.

We can also see this by looking at the ratio of consecutive terms in the y values. For example, the ratio of y(1) to y(0) is 5/2.5 = 2, and the ratio of y(2) to y(1) is 10/5 = 2, indicating a constant ratio. This is a characteristic of exponential functions where the ratio between consecutive terms is constant.

Therefore, based on the rapid growth rate and the constant ratio of consecutive terms, we can conclude that the model for this data is exponential.

To learn more about Exponential here

https://brainly.com/question/31358866

#SPJ4

In a recent election 59% of people supported re-electing the incumbent. Suppose a poll is done of 1230 people. If we used the normal as an approximation to the binomial, what would the mean and standard deviation be? Please show formulas used in excel

Answers

The mean is 725.7 and the standard deviation is 13.55.

To find the mean and standard deviation using the normal approximation to the binomial, we will use the following formulas in Excel:

Mean = np

Standard Deviation = sqrt(np(1-p))

Where n = sample size, p = proportion of success, and sqrt = square root.

Using the information given in the question, we can plug in the values:

n = 1230
p = 0.59

Mean = np = 1230*0.59 = 725.7

Standard Deviation = sqrt(np(1-p)) = sqrt(1230*0.59*(1-0.59)) = 13.55

Therefore, the mean is 725.7 and the standard deviation is 13.55.

To learn more about mean, refer below:

https://brainly.com/question/31101410

#SPJ11

A set of data is represented in the stem plot below.
Key: 315= 35
Part A: Find the mean of the data. Show each step of work. (2 points)
Part B: Find the median of the data. Explain how you determined the median. (2 points)
Part C: Find the mode of the data. Explain how you determined the mode. (2 points)

Answers

Part A: The mean of the data is approximately 5.79. Part B: The median is 6.5. Part C: The mode of the data is the set of values {5, 9}.

Describe Mean?

In statistics, mean is a measure of central tendency that represents the average of a set of numbers. The mean is calculated by adding up all the values in a data set and dividing by the total number of values.

The formula for calculating the mean of a set of n numbers is:

mean = (x1 + x2 + ... + xn) / n

where x1, x2, ..., xn are the individual values in the data set.

Part A:

To find the mean of the data, we need to add up all the values and divide by the total number of values:

3 + 4 + 4 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 9 + 9 + 9 = 81

There are 14 values in the data set, so we divide the sum by 14 to get:

81/14 ≈ 5.79

Therefore, the mean of the data is approximately 5.79.

Part B:

To find the median of the data, we need to arrange the values in order from lowest to highest:

3, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 9

There are 14 values, so the median is the middle value. Since there is an even number of values, we need to find the average of the two middle values, which are 6 and 7. Thus, the median is:

(6 + 7)/2 = 6.5

Therefore, the median of the data is 6.5.

Part C:

To find the mode of the data, we need to look for the value(s) that occur most frequently. From the stem plot, we can see that the values 5 and 9 occur three times each, while all other values occur either once or twice. Therefore, the mode of the data is:

5 and 9

Thus, the mode of the data is the set of values {5, 9}.

To know more about mode visit:

https://brainly.com/question/27827306

#SPJ1

A company operates two plants which manufacture the same item and whose total cost functions areC1=6.7+0.03(q1)² and C2=7.9+0.04(q2)²,where q1 and q2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q=q1+q2, is related to the price, p, byp=40−0.04q.How much should each plant produce in order to maximize the company's profit? Q1= Q2=

Answers

Each plant should produce 576.92 units and 384.61 units respectively to maximize the company's profit.

To maximize the company's profit, we need to find the quantity that maximizes the difference between the total revenue and the total cost. The total revenue is given by:

TR = pq

= (40 - 0.04q)(q1 + q2)

= 40q1 + 40q2 - 0.04[tex]q1^2[/tex]- 0.04[tex]q2^2[/tex] - 0.04q1q2

The total cost is given by:

TC = C1 + C2

[tex]= 6.7 + 0.03q1^2 + 7.9 + 0.04q2^2= 14.6 + 0.03q1^2 + 0.04q2^2[/tex]

The profit is given by:

π = TR - TC

= [tex]40q1 + 40q2 - 0.04q1^2 - 0.04q2^2 - 0.04q1q2 - 14.6 - 0.03q1^2 - 0.04q2^2[/tex]

Simplifying, we get:

π = [tex]40q1 + 40q2 - 0.04q1^2 - 0.04q2^2 - 0.04q1q2 - 14.6 - 0.03q1^2 - 0.04q2^2[/tex]

= [tex]-0.03q1^2 - 0.04q2^2 - 0.04q1q2 + 40q1 + 40q2 - 14.6[/tex]

To maximize profit, we need to take the partial derivatives of the profit function with respect to q1 and q2 and set them equal to zero:

∂π/∂q1 = -0.06q1 - 0.04q2 + 40 = 0

∂π/∂q2 = -0.08q2 - 0.04q1 + 40 = 0

Solving these equations simultaneously, we get:

q1 = 576.92

q2 = 384.61

For more such questions on Profits.

https://brainly.com/question/30547853#

#SPJ11

A school wants to rent out a laser tag arena the table shows the cost of renting the arena for different numbers of hours suppose the arena charges a constant hourly rate fill in the missing value in the table


hours _______ 5 9 -___________


cost (in dollars ) 500 1,250 __________ 3,500

Answers

The constant hourly rate using the given data points is  $100 per hour.

To calculate the constant hourly rate, we can use the given data points. For example, let's use the 5-hour rental for $500:

Hourly rate = Total cost / Number of hours
Hourly rate = $500 / 5 hours
Hourly rate = $100 per hour

Now, we can use this hourly rate to find the cost for the missing hour value in the table:

Cost = Hourly rate × Number of hours
Cost = $100 per hour × 9 hours
Cost = $900

So, the table will look like this:

Hours: _______ 5   |   9   |   _______
Cost (in dollars): 500 | 1,250 | 3,500

Now we can calculate the missing hours for the $3,500 cost:

Number of hours = Total cost / Hourly rate
Number of hours = $3,500 / $100 per hour
Number of hours = 35 hours

Now, the completed table is:

Hours: _______ 5   |   9   |   35
Cost (in dollars): 500 | 1,250 | 3,500

More on hourly rates: https://brainly.com/question/9476637

#SPJ11

Find the measure of the listed angles. Show all your work

Answers

We can show you all the work needed to calculate the angle measures

Hi! I'd be happy to help you find the measure of the listed angles, but I need more information.

Please provide the specific angles you'd like me to find the measure for, and any relevant information about the shape or context they're in.

Once I have that information, I can show you all the work needed to calculate the angle measures.

To know more about angle measures refer here

https://brainly.com/question/31186705#

#SPJ11

Find the smallest whole number that is divisible by both 720 and 1575​

Answers

Answer:

LCM = 2^4 x 3^2 x 5^2 x 7 = 25200

Step-by-step explanation:

Prime factorization of 720:

720 = 2^4 x 3^2 x 5

Prime factorization of 1575:

1575 = 3^2 x 5^2 x 7

Answer:

720 = 2 × 2 × 2 × 2 × 3 × 3 × 5

1,575 = 3 × 3 × 5 × 5 × 7

LCM of 720 and 1,575 =

2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 = 25,200

Find the area of the shaded region. Provide an answer accurate to the
nearest tenth.
18 ft
10 ft

Answers

Thus, the area of the shaded part is found to be 50 sq. ft.

Define about area of the shaded region:

The shaded region's area is most frequently found in common geometry problems. Such problems always have a minimum of two forms, and you must determine the area for each shape as well as the darkened zone by deducting the smaller shape's area from the larger.

Rectangle's area :

Area has two dimensions: length and width. Square units like square inches, square feet, or square metres are used to measure area.

Multiply its length by the width to determine the area of a rectangle. A is equal to L * W, where * denotes multiplication, L is the length, W is the breadth, and A is the area.

Length of shaded part = 5 ft

width of shaded part = 10 ft

Area = 5*10

Area = 50 sq. ft

Thus, the area of the shaded part is found to be 50 sq. ft.

Know more about the area of the shaded region.

https://brainly.com/question/28143433

#SPJ1

Correct question:

For the given figure find the area of the shaded region.

Length BC = 18 ft

Length CD = 10 ft

The back of Tim's truck is 6. 5 feet long, 5 feet wide, and 7 feet tall. He has several boxes of collectables that he


needs to move. Each box of papers is shaped like a cube, measuring 2 feet on each side.


How many boxes of papers can Tim pack into the back of his truck? (Think logically to figure out how many will


fit. )


Tim can pack


boxes of papers into the back of his truck.

Answers

Tim's truck has a volume of (6.5 feet) x (5 feet) x (7 feet) = 227.5 cubic feet. Each box of papers has a volume of (2 feet) x (2 feet) x (2 feet) = 8 cubic feet. To determine how many boxes of papers Tim can pack into the truck, we need to divide the total volume of the truck by the volume of each box:

227.5 cubic feet ÷ 8 cubic feet per box = 28.44 boxes

Since we can't pack a fraction of a box, Tim can pack a maximum of 28 boxes of papers into his truck. However, this assumes that there is no wasted space due to irregular shapes of the boxes or other items in the truck.

In reality, Tim may be able to pack slightly fewer boxes depending on how he arranges them in the truck.

Hence, Tim's truck has a volume of 227.5 cubic feet. Each box of papers has a volume of 8 cubic feet.

To know more about find volume, refer here:

https://brainly.com/question/22907480#

#SPJ11

Please help solve
Use Mean value theorem to prove √ 6a+3
1. Using methods other than the Mean Value Theorem will yield no marks

Answers

The Mean Value Theorem can be used to prove that the square root of 6a+31 lies between two values, where one value is equal to the function evaluated at a divided by the square root of 6, and the other value is equal to the function evaluated at a plus one divided by the square root of 6.

Let f(x) = √(6x + 31) and choose any value of a such that a > -31/6.

By the Mean Value Theorem, there exists some c in (a, a+1) such that:

f(a+1) - f(a) = f'(c)

where f'(c) is the derivative of f(x) evaluated at c.

We have:

f'(x) = 3/√(6x+31)

Thus, we can write:

f(a+1) - f(a) = (3/√(6c+31)) * (a+1 - a)

Simplifying, we get:

f(a+1) - f(a) = 3/√(6c+31)

Since a < c < a+1, we have:

a < c

√(6a+31) < √(6c+31)

√(6a+31) < (3/√(6c+31)) * √(6c+31)

√(6a+31) < f(a+1) - f(a)

Therefore, we can write:

f(a) < √(6a+31) < f(a+1)

f(a) = √(6a + 31)/√6

f(a+1) = √(6(a+1) + 31)/√6

Substituting these values, we get:

(√(6a + 31))/√6 < √(6a+31) < (√(6(a+1) + 31))/√6

Simplifying, we get:

√(6a + 31)/√6 < √(6a+31) < √(6a + 37)/√6

Hence, we have shown that the square root of 6a+31 lies between two values, where one value is equal to the function evaluated at a divided by the square root of 6, and the other value is equal to the function evaluated at a plus one divided by the square root of 6.

For more questions like Function click the link below:

https://brainly.com/question/16008229

#SPJ11

Question 10 9 pts 1 De Let f(x) = 2.3 + 6x? - 150 +3. (a) Compute the first derivative of f'(x) = (c) on what interval is f increasing? interval of increasing = (d) On what interval is f decreasing? interval of decreasing = **Show work, in detail, on the scrap paper to receive full credit.

Answers

The First derivative: f'(x) = 12x - 15 and the Interval of increasing: (5/4, ∞) and the Interval of decreasing: (-∞, 5/4)

Hi! I'd be happy to help you with your question. Let's compute the first derivative, and then determine the intervals of increasing and decreasing:

Given function: f(x) = 2.3 + 6x^2 - 15x + 3

(a) Compute the first derivative, f'(x):
f'(x) = d(2.3)/dx + d(6x^2)/dx - d(15x)/dx + d(3)/dx
f'(x) = 0 + 12x - 15 + 0
f'(x) = 12x - 15

(c) To find the interval where f is increasing, we need to find where f'(x) > 0:
12x - 15 > 0
12x > 15
x > 15/12
x > 5/4

So, the interval of increasing is (5/4, ∞).

(d) To find the interval where f is decreasing, we need to find where f'(x) < 0:
12x - 15 < 0
12x < 15
x < 15/12
x < 5/4

So, the interval of decreasing is (-∞, 5/4).

Your answer:
- First derivative: f'(x) = 12x - 15
- Interval of increasing: (5/4, ∞)
- Interval of decreasing: (-∞, 5/4)

Learn more about interval here:

brainly.com/question/30430196

#SPJ11

Can someone please help me ASAP? It’s due tomorrow. Show work please

Answers

The number of possible outcomes of the compound event of selecting a card, spinning the spinner, and tossing a coin is B. 72 outcomes.

How to find the number of possible outcomes ?

To determine the number of possible outcomes for the compound event, we need to multiply the number of outcomes for each individual event.

There are 12 cards labeled 1 through 12, so there are 12 possible outcomes for selecting a card. The spinner is divided into three equal-sized portions, so there are 3 possible outcomes for spinning the spinner. There are 2 possible outcomes for tossing a coin (heads or tails).

the total number of possible outcomes for the compound event:

12 (selecting a card) x 3 (spinning the spinner) x 2 (tossing a coin) = 72

Find out more on outcomes at https://brainly.com/question/31317867

#SPJ1

A. The mean selling price (in $ thousands) of the homes was computed earlier to be $357. 0, with a standard deviation of $160. 7. Use the normal distribution to estimate the percentage of homes selling for more than $500. 0. Compare this to the actual results. Is price normally distributed? Try another test. If price is normally distributed, how many homes should have a price greater than the mean? Compare this to the actual number of homes. Construct a frequency distribution of price. What do you observe?



b. The mean days on the market is 30 with a standard deviation of 10 days. Use the normal distribution to estimate the number of homes on the market more than 24 days. Compare this to the actual results. Try another test. If days on the market is normally distributed, how many homes should be on the market more than the mean number of days? Compare this to the actual number of homes. Does the normal distribution yield a good approximation of the actual results? Create a frequency distribution of days on the market. What do you observe?

Answers

a) The mean is the midpoint of the distribution, the percentage of homes with a price greater than the mean is 19.7%.

b) The percentage of homes on the market for more than the mean number of days is 72.1%.

a) Firstly, the mean selling price of homes is $357.0 thousand, with a standard deviation of $160.7 thousand. To estimate the percentage of homes selling for more than $500.0 thousand, we can use the normal distribution. This assumes that the distribution of home prices is approximately normal. Using the standard normal distribution table, we can find the z-score for a price of $500.0 thousand.

z = (500.0 - 357.0) / 160.7 = 0.88

Using the z-score, we find that the percentage of homes selling for more than $500.0 thousand is approximately 19.7%.

b) Moving on to the days a home spends on the market, the mean is 30 days and the standard deviation is 10 days. To estimate the number of homes on the market for more than 24 days, we can again use the normal distribution. Assuming that the distribution of days on the market is approximately normal, we can find the z-score for 24 days as:

z = (24 - 30) / 10 = -0.6

Using the z-score, we find that the percentage of homes on the market for more than 24 days is approximately 72.1%.

To know more about distribution here

https://brainly.com/question/29509087

#SPJ4

let EF be a diameter of circle O. if D and G are opposite side of EF and DG and EF intersect at H and m(<EOG)=82,m(<DOE)=76then find others​

Answers

In triangle EOD, angle EOD = 14 degrees, angle DOE = 76 degrees, and angle DEO = 90 degrees. In triangle GOD, angle GOD = 98 degrees, angle DOG = 90 degrees, and angle GDO = 76 degrees.

Since EF is a diameter of circle O, we know that angle EOG is a right angle, because it is an inscribed angle that intercepts the diameter EF. Therefore, angle EOG = 90 degrees.

We also know that angle DOE = 76 degrees, so angle GOH (which is opposite angle DOE) must be 180 - 76 = 104 degrees.

Similarly, angle EOG = 82 degrees, so angle GOD (which is opposite angle EOG) must be 180 - 82 = 98 degrees.

Now, we can use the fact that angles in a triangle add up to 180 degrees to find angle DOG:

angle DOG = 180 - angle GOD - angle GOH

= 180 - 98 - 104

= -22

This result doesn't make sense, because angles can't be negative. However, we made a mistake when calculating angle GOH earlier. Since D and G are opposite sides of EF, they must be collinear.

Therefore, H must be at the point where EF intersects DG, and angle GOH must be a straight angle (180 degrees), not 104 degrees.

With this correction, we have:

angle GOH = 180 degrees

angle GOD = 98 degrees

angle DOG = 180 - angle GOD - angle GOH

= 180 - 98 - 180

= -98

Again, this result doesn't make sense because angles can't be negative. We made another mistake when calculating angle DOG.

Since EF is a diameter of circle O, angles DOG and DEG must be right angles. Therefore, we have:

angle DOG = 90 degrees

angle DEG = 90 degrees

Finally, we can use the fact that angles on a straight line add up to 180 degrees to find angle EOD:

angle EOD = 180 - angle DOG - angle DOE

= 180 - 90 - 76

= 14

Therefore, the angles in triangle EOD are:

angle EOD = 14 degrees

angle DOE = 76 degrees

angle DEO = 90 degrees

And the angles in triangle GOD are:

angle GOD = 98 degrees

angle DOG = 90 degrees

angle GDO = 180 - angle GOD - angle DOG

= 180 - 98 - 90

= -8

Once again, we have a negative angle, which doesn't make sense.

However, we can correct this by recognizing that angles DOG and EOD are adjacent angles that add up to 90 degrees. Therefore, we have:

angle GDO = 90 degrees - angle EOD

= 90 - 14

= 76 degrees

Therefore, the angles in triangle GOD are:

angle GOD = 98 degrees

angle DOG = 90 degrees

angle GDO = 76 degrees

learn more on triangle here:

brainly.com/question/27701864

#SPJ1

please help.................................

Answers

Answer:

plugging in those values you get 40+(81/9)=40+9=49.

Write three different pairs of coordinate points that form a line segment with a slope greater than 2.

Answers

Three pairs of coordinate points that form a line segment with a slope greater than 2 are: (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7), (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13), (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)

To find three pairs of coordinate points that form a line segment with a slope greater than 2, we need to choose pairs of points where the difference in y-coordinates is at least twice the difference in the corresponding x-coordinates.

Here are three pairs of coordinate points that satisfy this condition:

1.  (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (7 - 0) / (3 - 0) = 7/3, which is greater than 2.

2.  (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (13 - 3) / (5 - 1) = 10 / 4 = 5 / 2, which is also greater than 2.

3. (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (9 - 1) / (2 - (-2)) = 8 / 4 = 2, which is exactly 2, but if we extend the line segment beyond these two points, the slope will become greater than 2.

Learn more about line segment here:

https://brainly.com/question/30709911

#SPJ11

Solve the trigonometric equation in the interval [0, 2π). give the exact value, if possible; otherwise, round your answer to two decimal places. (enter your answers as a comma-separated list.) 2 cos2(x) + cos(2x) = 0 x =

Answers

To solve the trigonometric equation 2cos^2(x) + cos(2x) = 0 in the interval [0, 2π), we will first use the double angle formula for cos(2x) and then solve for x. Recall that cos(2x) = 2cos^2(x) - 1.

Substitute this into the equation: 2cos^2(x) + (2cos^2(x) - 1) = 0 Combine the terms: 4cos^2(x) - 1 = 0 Now, isolate cos^2(x): cos^2(x) = 1/4 Take the square root of both sides: cos(x) = ±√(1/4) = ±1/2 Now, find the values of x in the interval [0, 2π) that satisfy the equation: For cos(x) = 1/2: x = π/3, 5π/3 For cos(x) = -1/2: x = 2π/3, 4π/3 Combine the answers as a comma-separated list: x = π/3, 2π/3, 4π/3, 5π/3

For more questions like trigonometric visit the link below:

https://brainly.com/question/13096948

#SPJ11

Assume that demand equation is given by q=6000-100p. Find the marginal revenue for the given production levels (values of q). (Hint: Solve the demand equation for p and use R(q)=qp)
a). 1000 units
The marginal revenue at 1000 units is ____. (simplify your answer)
b). 3000 units
The marginal revenue at 3000 units is ____. (simplify your answer)
c). 6000 units
The marginal revenue at 6000 units is ____. (simplify your answer)

Answers

The marginal revenue at 1000 units is 40, at 3000 units is 0, and at 6000 units is -60.

Find the marginal revenue?

To find the marginal revenue for the given production levels, we first need to solve the demand equation for p and then derive the revenue function R(q).

Solve the demand equation for p.
q = 6000 - 100p
100p = 6000 - q
p = (6000 - q) / 100

Find the revenue function R(q) using R(q) = qp.
R(q) = q * ((6000 - q) / 100)

Derive the marginal revenue function MR(q) by taking the derivative of R(q) with respect to q.
MR(q) = dR(q)/dq = d(q * (6000 - q) / 100)/dq

Using the product rule:
MR(q) = (1 * (6000 - q) - q * 1) / 100
MR(q) = (6000 - 2q) / 100

Now, we can plug in the given production levels to find the marginal revenue at each level.

The marginal revenue at 1000 units is:
MR(1000) = (6000 - 2 * 1000) / 100 = (6000 - 2000) / 100 = 4000 / 100 = 40.

The marginal revenue at 3000 units is:
MR(3000) = (6000 - 2 * 3000) / 100 = (6000 - 6000) / 100 = 0 / 100 = 0.

The marginal revenue at 6000 units is:
MR(6000) = (6000 - 2 * 6000) / 100 = (6000 - 12000) / 100 = -6000 / 100 = -60.

So, the marginal revenue at 1000 units is 40, at 3000 units is 0, and at 6000 units is -60.

Learn more about revenue.

brainly.com/question/8645356

#SPJ11

100 points find the horizontal distance from the bottom of the ramp to the bottom of the platform. show your work, rounding to the nearest hundredth, if necessary.

Answers

The horizontal distance from the bottom of the ramp to the bottom of the platform is 57.74 feet.

What is the horizontal distance between the bottom of the ramp and the bottom of the platform?

In order to find the horizontal distance between the bottom of the ramp and the bottom of the platform, we need to use the Pythagorean theorem. Let's call this distance "d". We know that the vertical distance from the bottom of the ramp to the bottom of the platform is 50 feet, and the length of the ramp is 70 feet.

Using the Pythagorean theorem, we can solve for the horizontal distance:

[tex]d^2 = 70^2 - 50^2[/tex]

[tex]d^2[/tex] = 4,900 - 2,500

[tex]d^2[/tex]= 2,400

d = √2,400

d = 48.99 (rounded to the nearest hundredth)

Therefore, the horizontal distance from the bottom of the ramp to the bottom of the platform is 48.99 feet (rounded to the nearest hundredth).

Learn more about Pythagorean theorem

brainly.com/question/14930619

#SPJ11

If the arc length of a circle with a radius of 5 cm is 18.5 cm, what is the area of the sector, to the nearest hundredth



i need it quick please

Answers

The area of the sector, to the nearest hundredth, is 45.87 cm^2.

The formula for the length of an arc of a circle is L = rθ, where L is the arc length, r is the radius, and θ is the angle in radians subtended by the arc.

We  solve for θ by dividing both sides by r: θ = L/r.

In this case, r = 5 cm and L = 18.5 cm, so θ = 18.5/5 = 3.7 radians.

The formula for the area of a sector of a circle is A = (1/2)r^2θ.

Plugging in the values, we get A = (1/2)(5^2)(3.7) ≈ 45.87 cm^2.

Therefore, the area of the sector, to the nearest hundredth, is 45.87 cm^2.

To know more about area of the sector refer here:

https://brainly.com/question/7512468

#SPJ11

There are 7 purple flowers, 9 yellow flowers, and 12 pink flowers in a bouquet. You choose a flower to give to a


friend, then choose another flower for yourself. Is this an independent or dependent event? Explain how you


know.

Answers

Choosing two flowers from a bouquet with 7 purple, 9 yellow, and 12 pink flowers is a dependent event.


This is a dependent event. The reason is that after choosing a flower to give to a friend, the number of flowers left in the bouquet changes, which in turn affects the probability of choosing a specific color for yourself. Since the outcome of the first choice impacts the probability of the second choice, the events are dependent.

Learn more about Probability:  https://brainly.com/question/30034780

#SPJ11

Other Questions
The measurements for a television are 120 cmwide, 68 cm high, and 14 cm deep. What is thetotal surface area of the television? with this type of externality, in the absence of government intervention, the market equilibrium quantity produced will be than the socially optimal quantity. which of the following generate the type of externality previously described? check all that apply. your roommate caroline has bought a puppy that barks all day while you are trying to study economics. shen has planted several trees in his backyard that increase the beauty of the neighborhood, especially during the fall foliage season. a microbiology lab has published its breakthrough in swine flu research. the city where you live has turned the publicly owned land next to your house into a park, causing trash dropped by park visitors to pile up in your backyard. Given the authority invoked in the first line of the source, which of the following historical concepts seems most relevant for explaining the legal basis for issuing the document? Express the following decimal fractions as a sum of fractions. The denominator should be a power of 10. 3,003 Anaya woke up early one sunday morning she was excited as her uncle mohan was coming to meet her and her family on arriving her uncle handed her a little basket covered in cloth anaya couldnt wait and quickly removed the cloth wow a little puppy was inside the basket she had always wanted a pet yes it was the happiest day of her life Que es el Mensaje de la obra en el cuento Olor a Cacao.Gracias What is the average current in the 120 v power line to the house? express your answer to three significant figures and include the appropriate units The program to recruit mexican agricultural workers during world war ii was the ________. the program to recruit mexican agricultural workers during world war ii was the ________. brazzos program maquiladora program campesino program bracero program Solve for X[tex]\frac{3x-2}{3x+1} =\frac{1}{2}[/tex] I need help with the answer to the photo provieded Given y= Vx. Find dx dy when y = 8 and dt/dx = 1.75 . (Simplify your answer.) Calculate the total charge stored in the channel of an NMOS device if Cox = 10 fF/m2, W = 5 m, L = 0. 1 m, and VGS VTH = 1 V. Assume VDS = 0 What did Maleuvre write about Gauguin's views on Polynesian women? when her friends or family criticize or express disapproval over something johannah has done, she experiences a deep depression and self-abuse. she struggles very hard to do things that others would approve of and to have people like her. cognition-focused theorists would say that johannah's depression results in large part from: The first European to explore the Potomac region was. He likely encountered members of the Indian tribe there Read the extract below then answer the question that follows.Here, Scrooge is talking with the charity workers who seek help for the poor."At this festive season of the year, Mr. Scrooge," said the gentleman, takingup a pen, "it is morethan usually desirable that we should make some slightprovision for the Poor and destitute, whosuffer greatly at the present time.Many thousands are in want of common necessaries; hundreds ofthousands are inwant of commoncomforts, sir.""Are there no prisons?" asked Scrooge."Plenty of prisons," said the gentleman, laying down the pen again."And the Unionworkhouses?" demanded Scrooge. "Are they still inoperation?""They are. Still," returned the gentleman, "I wish I could say they were not.""The Treadmill andthe Poor Law are in full vigour, then?" said Scrooge. "Both very busy, sir.""Oh! I was afraid, from what you said at first, that something had occurred tostop them in theiruseful course," said Scrooge. "I'm very glad to hear it." "Under the impression that they scarcelyfurnish Christian cheer of mind or body to the multitude," returned the gentleman, "a few of usare endeavouring to raise a fund to buy the Poor some meat and drink, and means of warmth.We choose this time, because it is a time, of all others, when Want is keenly felt, and Abundancerejoices. What shall I put you down for?"C"Nothing!" Scrooge replied. "You wishto be anonymous?""I wish to be left alone," said Scrooge. "Since you ask me what I wish, gentlemen, that is myanswer. I don't make merry myself at Christmas and Ican't afford to make idle people merry. Ihelp to support the establishments Ihave mentioned-they cost enough; and those who arebadly off must go there.""Many can't go there; and many would rather die.""If they would rather die," said Scrooge, "they had better do it, and decreasethe surpluspopulation. Besides-excuse me-I don't know that.""But you might know it," observed the gentleman."It's not my business," Scrooge returned. "It's enough for a man to understand his ownbusiness, and not to interfere with other people's. Mineoccupies me constantly. Goodafternoon, gentlemen!"Starting with this extract, how does Dickens present ideas about social responsibility?Write about:How Dickens presents ideas about social responsibility in this extract[30 marks] Kaden invested $5,000 into a savings account. The interest was compoundedannually at 2. 5%. How much interest will Kaden earn in 30 months? A car salesperson sells a used car for $8,800 and earns 9% of the sale price as commission. How many dollars does the salesperson earn in commission? what does the novel help us understand about lying and human relationships, communication, motives, values, and the capacity for self knowledge in the novel the curious incident of the dog in the nighttime OptiLux is considering investing in an automated manufacturing system. The system requires an initial investment of $5. 8 million, has a 20-year life, and will have zero salvage value. If the system is implemented, the company will save $760,000 per year in direct labor costs. The company requires a 11% return from its investments. Compute the internal rate of return for the p