Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Step-by-step explanation:
The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.
The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.
The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.
The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
I’m just testing to see how long it takes for someone to answer. Please answer!!!
Answer:
Um, hi...do you have a question at all??
Step-by-step explanation:
An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?
The new cost of the Xbox is $165.60
1.00 - 0.28 = 0.72
0.72 * 230 = 165.60
Answer please I need it ASAP
Answer:
answer what???
Step-by-step explanation:
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour. (a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.) .0074 (b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding? (Round your answer to two decimal places.) What is the standard deviation of the number of cars he would expect to watch? (Round your answer to two decimal places.)
Answer:
a
[tex]G = 0.007523 [/tex]
b
The number of cars the highway patrol officer would watch before a car that is seen is [tex]E(X) = 1.6027 [/tex]
The standard deviation is [tex]s = 0.9829 [/tex]
gg
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 71.5 \ miles/hour[/tex]
The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]
The speed limit is [tex] x = 70 \ miles /hour[/tex]
Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as
[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]
=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]
=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]
Here
[tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )[/tex]
So
=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]
From the z-table
[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]
So
[tex] p = P(X > 70) = 0.62392 [/tex]
Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as
[tex]q = 1 - p[/tex]
=> [tex]q = 1 - 0.62392 [/tex]
=> [tex]q = 0.37608 [/tex]
Generally the probability of getting 5 cars that are not speeding is mathematically represented as
[tex]G = q^5[/tex]
=> [tex]G = (0.37608)^5[/tex]
=> [tex]G = 0.007523 [/tex]
Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as
[tex]E(X) = \frac{1}{p}[/tex]
=> [tex]E(X) = \frac{1}{0.62392}[/tex]
=> [tex]E(X) = 1.6027 [/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]
=> [tex]s = \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]
=> [tex]s = 0.9829 [/tex]
The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.
The speed limit on this stretch of the freeway is 70 miles/hour.
Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;
[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]
From the z-table
[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]
Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be
q = 1 - p
q = 1 - 0.62392
q = 0.37608
Generally, the probability of getting cars that are not speeding will be
G = q⁵
G = 0.37608⁵
G = 0.007523
The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be
[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]
The standard deviation will be
[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have
Answer:
a) Identify the variable of interest.
Ages of the residents
b) Describe the center and spread of the population of Sunshine City.
Center of the population of Sunshine city = 63 years
Spread of the Population of Sunshine city = 17 years
c) Describe the center and spread of the random sample of Sunshine City
residents taken.
Center of the random sample of Sunshine city = 61.4 years
Spread of the random sample of Sunshine city = 19 years
What shape does it probably have:
It has a skewed(left) shape
Step-by-step explanation:
a) Identify the variable of interest.
Ages of the residents
The center of a distribution tells us about the Mean or Median of the distribution
The spread of a distribution tells us about the standard deviation of the population
b) Describe the center and spread of the population of Sunshine City.
Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years
Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years
c) Describe the center and spread of the random sample of Sunshine City
residents taken.
Center of the random sample of Sunshine city = 61.4 years
Spread of the random sample of Sunshine city = 19 years
What shape does it probably have:
It has a skewed(left) shape
This is because the mean is farther out to the left side of the tail of the distribution.
On average, Joanne writes
9 emails per day. How long
will it take Joanne to write
279 emails?
Answer:
It will take 31 days (4 weeks and 3 days) to write 279 emails
Step-by-step explanation:
279 emails ÷ 9 emails per day = 31 total days to write 279 emails
15 less than a number is equal to 12
Answer:
Step-by-step explanation:
x - 15 = 12
x = 27
A farmer wants to set up a pigpen using 40ft of fence to enclose a rectangular area of 51 square feet. Find the dimensions of the pigpen.
Answer:
The sides of the pigpen are 3 by 17
Step-by-step explanation:
Perimeter of pigpen => 2x + 2y = 40
Area of pigpen => xy = 51 (this is assuming x = length, and y = width)
Let's isolate "y" for the first equation;
2x + 2y = 40
2(x + y) = 40
x + y = 20
y = 20 - x
xy = x(20 - x) = 51 = 51
20x - x^2 = 51
x^2 - 20x + 51 = 0
According to the quadratic equation =>
x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17
x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3
The dimensions of the pigpen are actually 17 by 3
Proof: 17(3)= 51, 2(17) + 2(3) = 40
Can someone please help me, ty!! (Will mark brainliest)
you drink a beverage with 120 mg of caffeine. Each hour, the amount m of caffine in a persons system decreases by 12%. About how much caffeine will be in your system after 3 hours? Round your answer to the nearest milligram
Answer:43.2
Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2
Write the function in standard form.
f(x) = - 3(x - 7)2 + 15
Answer:
The answer is f ( x ) = − 6 x + 57
Step-by-step explanation:
Write the
slope-intercept form
of the equation of the
line described:
Perpendicular to y=x+4 and passes through the point (2,2)
Answer:
y=-1x+4
Step-by-step explanation:
The run times of a marathon runner are approximately normally distributed. The z-score for his run this week is – 2 . Which one of the following statements is a correct interpretation of his z-score?
Answer:
2 standard deviation under his average time
Step-by-step explanation:
Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat three meals a day?
Answer:
1
Step-by-step explanation:
Answer:
3t + 5 = 32
and
3t+ 2 = 20
Step-by-step explanation:
i got it right :)
If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2
A. y > x B. x = y C. y > z D. x > z
Step-by-step explanation:
hey, write the question properly...
If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y
Let's start by solving each equation one by one to find the values of the variables.
Equation 1: 3y + 12 = 5
Subtracting 12 from both sides:
3y = 5 - 12
3y = -7
Dividing both sides by 3:
y = -7/3
Equation 2: 4x - 3 = 8
Adding 3 to both sides:
4x = 8 + 3
4x = 11
Dividing both sides by 4:
x = 11/4
Equation 3: z³ + z⁴
This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³ and z⁴ by examining the equation. Since both terms are positive, the sum of z³ and z⁴ can never be negative. Therefore, the only possible solution is when both z³ and z⁴ are less than 2.
Now, let's compare the values of y, x, and z:
y = -7/3 ≈ -2.33
x = 11/4 ≈ 2.75
z³ + z⁴ < 2 (as explained above)
Based on these values, we can determine the relationship between the variables:
A. y > x
B. x = y
C. y > z
D. x > z
The correct answer is: B. x = y
To know more about equation here
https://brainly.com/question/21835898
#SPJ2
HELP PLEASEE EASY QUESTION
Which statements are true about the polynomial function?
f(x)=x3−x2−4x+4
Select each correct answer.
f(x)=0 when x=−1 .
f(−1)=0
(x−1) is a factor of f(x) .
f(x) divided by (x−1) has a remainder of 0.
Answer:
D. f(x) divided by (x−1) has a remainder of 0.
C. (x−1) is a factor of f(x) .
Step-by-step explanation:
Just took a test with this question these are the answers!
The statements that are true about the polynomial function are;
(x−1) is a factor of f(x). f(x) divided by (x−1) has a remainder of 0.Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]
If x = -1, hence;
[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]
This shows that f(x) ≠ 0 when x = −1 .
To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:
[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]
This shows that (x−1) is a factor of f(x).This also shows that if f(x) divided by (x−1) has a remainder of 0.
Learn more here: https://brainly.com/question/18820029
Simplify 3-8 divided by 3-2
Answer:
-5
Step-by-step explanation:
[tex] \frac{3 - 8}{3 - 2} [/tex]
[tex] \frac{ - 5}{1} [/tex]
[tex] - 5[/tex]
The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.
Answer:
5.31
Step-by-step explanation:
Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,
x = number of slices of pizza eaten
y = number of laps run immediately
Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:
[tex] y = 10 - 0.67x [/tex]
[tex] y = 10 - 0.67(7) [/tex]
[tex] y = 10 - 4.69 [/tex]
[tex] y = 5.31 [/tex]
Question 3: If Eli’s odds of winning a game is 3:1, what is Eli’s probability of winning?
Answer:
25% chance of winning.
Step-by-step explanation:
Convert 14.8 inches(1 inch= 2.54 cm)
Answer:
37.592 cm
Step-by-step explanation:
Answer:
you just did
Step-by-step explanation:
What is The opposite of -4
What is solution to 3/5=z/10
How to Solve this??! 6x-2=x+13
Answer:
x=3
Step-by-step explanation:
We are given the equation, 6x-2=x+13.
1. 6x=x+15
2. 5x=15
3. x=3
Hope this helps! Good luck on your assignment!
Answer: x=3
Step-by-step explanation:
6x-2=x+13
First get both x’s on one side
We are going to subtract x from both sides
5x-2=13
Now we want to get 5x alone
We are going to add 2 to both sides
5x=15
Now we want to get x alone
We are going to divide by 5
x=3
how many inches smaller is a 13.26 inch worm than a 14.13 inch worm
Find the equation, in standard form, of the line passing through the points
(2,-3) and (4,2).
A. 5x+2y=16
B. 5x – 2y=16
C. y=5/2x+8
D. 2x – 3y=9
Answer:
B
Step-by-step explanation:
To solve for the slope:
(2-(-3))/(4-2)=5/2
y=5/2x+b
plugin points:
2=5/2(4)+b
2=10+b
b=-8
so equation of the line is y=5/2x-8
and in standrd form its 5x-2y=16
If the tax rate is 7%, what is the tax on a $60 stuffed animal?
Answer:
$4.20
nice
Step-by-step explanation:
What is the answer too −2/3(12c−9)+14c=
-2/3(12c - 9) + 14c
=-8c + 6 + 14c
=6c + 6
=6(c + 1)
Write 3 < x < 9 in interval notation.
Answer:
(3, 9)
Step-by-step explanation:
If we have ≤ or ≥, we use brackets to signify it includes the values.
If we have < or >, we use parenthesis to signify it doesn't include the values.
Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
A. 6^21
Step-by-step explanation:
When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.
(6^7)^3 = 6^(7 * 3) = 6^21
A. 6^21 is your answer.
~
Answer:
A. 6^21
Step-by-step explanation:
Solve.
(5a^2 + 3) (4a^2 + 3)
Answer:
I think its a... carrot
Answer:
204+272+9
Step-by-step explanation: