The school spent $504 on calculators. How
many did the school buy?

Answer:

1. c. 34%

2. b. 7.8 hours

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Mean of 6 hours, standard deviation of 1.5 hours.

1. Approximately what percent of people sleep between 6 and 7.5 hours per night?

6 hours = mean

7.5 hours = 6 + 1.5 = 1 standard deviation above the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean. Since the normal distribution is symmetric, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean(6 hours) and 1 standard deviation above the mean(7.5 hours). So the answer is 34%, given by option c.

2. If Aaron had a Z score of 1.2 how many hours did he sleep?

We have that [tex]Z = 1.2, \mu = 6, \sigma = 1.5[/tex]. We have to find X.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.2 = \frac{X - 6}{1.5}[/tex]

[tex]X - 6 = 1.2*1.5[/tex]

[tex]X = 7.8[/tex]

So option b.

Answer: x^3 - 3x^2 + 2x

Step-by-step explanation:

Zeros 0, 1, 2

f(x)= x (x-1)(x-2)

= x (x^2 - 3x + 2)

= x^3 - 3x^2 + 2x

Answer:

5 liters!

Step-by-step explanation:

For every 4 students, there's 1 liter of water needed.

S = Students - L = Liters

4S = 1L

8S = 2L

12S = 3L

16S = 4L

20S = 5L

Answer:

A.) Coefficient

Step-by-step explanation:

While it is a term, it says which word best describes it, so it would better be classified as a coefficient since coefficients have variables attached to them

Answer i think its 0.5 i searched it and thats what it said

Step-by-step explanation:

Answer:

x=18

<1=34

<2=56

Step-by-step explanation:

Step-by-step explanation:

We split the duration into 2 smaller intervals.

Hence the total duration is 5 hours and 30 min.

Answer:

22

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Got it right hope this helps

Answer:

a and b

Step-by-step explanation:

Answer:

“The roof is not my son, but I will raise it.” – Anonymous

“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass

(your name her) was released from his/her/their 4 year sentence

Answer:

B

Step-by-step explanation:

On edge

The probabilities is the greatest for a standard normal distribution is

P(-0.5 ≤ z ≤ 0.5) = 0.382.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

From the diagram attached below, we can write

1. P( -1.55 ≤ z ≤ -0.5)

= 0.092 + 0.15

= 0.242

or, 9.2%+15%=24.2%.

2. P( -0.5 ≤ z ≤ 0.5)

= 0.191 + 0.191

= 0.382

3. P( 0.5 ≤ z ≤ 1.5)

= 0.15 + 0.092

= 0.242

4. P( 1.5 ≤ z ≤ 2.5)

= 0.044 + 0.017

= 0.061

So, the greatest value is P(-0.5 ≤ z ≤ 0.5) = 0.382

Learn more about Normal Distribution here:

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Answer:

x=7

Step-by-step explanation:

The solution to the equation is x = 7.

We have,

Equation:

3x - 5 = 16

Add 5 on both sides.

3x - 5 + 5 = 16 + 5

3x = 21

Divide 3 on both sides.

x = 21/3

x = 7

Thus,

The solution to the equation is x = 7.

Learn more about solutions of equations here:

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Answer:

1.2.05 2.0.919 3 sf

Step-by-step explanation:

1. cos 70=x/6

6 cos 70=x

x=2.05

2.cos 45=x/1.3

1.3 cos 45=x

x=0.919

3.cant see ;-;

Answer:

what is the question? please provide a question.

Answer:

x = 29

Step-by-step explanation:

105 + 110 + 2x + 3x = 360

Simplify

215 + 5x = 360

Move all terms not containing x to the right side of the equation.

5x = 145

x = 29

good luck, i hope this helps :)

Answer:

3 + 1.20c ≥ 13.50

Step-by-step explanation:

Jamie must complete at least 9 chores to have enough money to buy a CD player.

Given:

The equation is

[tex]P=-3-4L-6[/tex]

To find:

The formula for L.

Solution:

We have,

[tex]P=-3-4L-6[/tex]

It can be written as

[tex]P=(-3-6)-4L[/tex]

[tex]P=-9-4L[/tex]

We need to isolate variable L.

Adding 6 on both sides, we get

[tex]P+6=-4L[/tex]

Dividing both sides by -4, we get

[tex]\dfrac{P+6}{-4}=L[/tex]

[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]

[tex]-\dfrac{P}{4}-1.5=L[/tex]

Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].

Answer:

The correct option is c. An amount equal to or greater than $25,000 but less than $36,000.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amazon Rafting just bought a new trailer. To pay for the trailer, the company took out a loan that requires Amazon Rafting to pay the bank a special payment of $8,700 in 5 years and also pay the bank regular payments of $4,100 each year forever. The interest rate on the loan is 14.3 percent per year and the first $4,100 yearly payment will be paid in one year from today. What was the price of the trailer?

a. An amount less than $14,000 or an amount equal to or greater than $62,000

b. An amount equal to or greater than $14,000 but less than $25,000

c. An amount equal to or greater than $25,000 but less than $36,000

d. An amount equal to or greater than $36,000 but less than $49,000

e. An amount equal to or greater than $49,000 but less than $62,000

The explanation of the answer is now provided as follows:

The price of the trailer can be calculated using the following formula:

Price of the trailer = (Special payment in 5 years / (1 + r)^n) + (Annual regular payment forever / r) .................... (1)

Where:

Special payment in 5 years = $8,700

r = Interest rate = 14.3% or 0.143

n = number of years = 5

Annual regular payment forever = $4,100

Substituting the values into equation (1), we have:

Price of the trailer = ($8,700 / (1 + 0.143)^5) + ($4,100 / 0.143)

Price of the trailer = ($8,700 / 1.95088267511394) + $28,671.33

Price of the trailer = $4,459.52 + $28,671.33

Price of the trailer = $33,130.85

Since the calculated price of the trailer is $33,130.85, the correct option is c. An amount equal to or greater than $25,000 but less than $36,000.

Answer:

Complementary

Step-by-step explanation:

I'm guessing I'm not sure if this is 100% correct

Answer:

29.8058% different

Step-by-step explanation:

brainliest?????

Answer:

6 balls in a bag. 2 golden balls.

6 C 2 (C = combination)

6C2 = 6 x 5 x 4 x 3 x 2 x 1 / 2 x 1 x 4 x 3 x 2 x 1

= 3 x 5

= 15

denominator = 15

6 balls total 2 golden balls choose 2 balls only one possibility

answer = 1/15

Answer:

Answer is 8 and 3/4

Answer:

the answer would be 8 3/4 in

Answer:

37,500 and non recurring

Step-by-step explanation:

The Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Rileys are buying a home that costs $250,000.

12% for a down payment

So, down payment is

12% of 250,000

= 12/100 ×250,000

= 12×2500

= $30,000

They are paying 3% in closing costs

3% of 250,000

= 3/100×250,000

= $7,500

Therefore, the Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.

To learn more about the percentage visit:

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I attached the document with the answers and work with the formulas. Since the formulas and fractions don't work very well with this site (especially the pi symbol, they should fix that).

:)