Find the slope of the line y<br> =2x + 3/7

According to USA Today, the average cost of a private university is $50,000 with a population standard deviation of $2,500. 100

Colt1911 [192]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the average cost is still of $50,000, that is:

$H_0: \mu = 50000$

At the alternative hypothesis, it is tested if the average cost is decreasing, that is:

$H_1: \mu < 50000$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 49450, \mu = 50000, \sigma = 2500, n = 100$

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{49450 - 50000}{\frac{2500}{\sqrt{100}}}$

z = -2.2.

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with z = -2.2, the p-value is of 0.0139.

Since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.

More can be learned about the z-distribution at brainly.com/question/16313918

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8 0

2 years ago

Can somebody helppp ??

mario62 [17]

Answer:

10

Step-by-step explanation:

Since F is the midpoint of EG, EF and FG are equal. We know that FG is 4 units, so EF must be 4 units. We also know that FH and EF make EH, so we substitute the values that we have.

FH + EF = EH

6 + 4 = EH

EH = 10

3 0

3 years ago

Read 2 more answers

State in full the fundamental theorem of calculus

kirill115 [55]

Where G(x) is the anti derivative of f(x).

7 0

3 years ago

13. Write

Bingel [31]

First off, we factor out the expression:

$\displaystyle \large{y = 2 {x}^{2} - 12x + 16} \\ \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }$

In the bracket, separate 8 out of the expression.

$\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\ \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}$

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

$\displaystyle \large{ {(x - 3)}^{2} = {x}^{2} - 6x + 9}$

So we add +9 in x^2-6x.

$\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9) + 8]}$

Convert the expression in the small bracket to perfect square.

$\displaystyle \large{y = 2[ {(x - 3)}^{2} + 8]}$

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

$\displaystyle \large{y = 2[ {(x - 3)}^{2} + 8 - 9]} \\ \displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]}$

Then we distribute 2 in.

$\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\$

$\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \displaystyle \large{y = [2 \times {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2} - 2 }$

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

4 0

3 years ago

c) Solve the equation you wrote in part b to find how many hours you would have to work to pay for the first year of video strea

marta [7]

Parents will allow you to stream videos on your tablet if you agree to prepay the monthly bill. If the initial charge to set up an account is $50 and the monthly fee is $18, create a table that would represent the cost each month for the first year.
Every Month $68 $18 $18 $18 $18 $18 $18 $18 $18 $18 $18 $18
<span>Total For Year$68 $86 $104 $122 $140 $158 $176 $194 $212 $230 $248 $266 </span>

4 0

3 years ago

Find the slope of the line y =2x + 3/7