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sergeinik [125]
3 years ago
8

Last one tonight! Thanks for your help Iris!

Mathematics
2 answers:
Fittoniya [83]3 years ago
6 0

Answer:

a) 1200

b) +15

Step-by-step explanation:

The given equation is

y=15x+1200

The cost to get started is the initial cost(y-intercept) which is 1200.

The change in total cost for each book printed is the slope of the line which is +15

ruslelena [56]3 years ago
5 0
<h2>Hello!</h2>

The answers are:

  • $1200
  • $25(+)
<h2>Why?</h2>

For the first question, if there is no printed book, the variable x will be 0, so:

y=1200+15x\\y=1200+15(0)

The cost to get started, meaning that there is not any printed book, is $1200

For the second question, to determine the change in the total cost for each printed book, let's assume that there is just one book printed, so:

y=1200+15x\\y=1200+15(1)=1215

So, the change for each printed book is $15(+) because:

Change=(1)BookPrintedCost-NoBookPrintedCost=1215-1200=15

Have a nice day!

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Step-by-step explanation:

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2 years ago
A survey was conducted among people who visit swimming pools. 209 people were asked about the preferences in water sanitizing. 1
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Answer:

The claim that needs to be tested is that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences. This can be expressed as the population proportion of people who prefer mechanical methods of water sanitizing is significantly higher than 0.5.

This is a hypothesis test for a  population proportion.

The test will have null and alternative hypothesis:

H_0: \pi=0.5\\\\H_a:\pi>0.5

Test statistic z = 0.972

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At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences.

Step-by-step explanation:

We have to construct a hypothesis test for the population proportion. We need to test the claim that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences.

As the survey is done as a yes/no question, the null hypothesis would state that the amount of people who prefer mechanical methods of water sanitizing is not significantly different from the proportion of people who have no sanitizing methods preferences. That can be expressed as the population proportion equals 0.5, so both proportions are equal.

The alternative hypothesis would state that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences. This could be expressed as the population proportion significantly bigger than 0.5.

Then, the null and alternative hypothesis are written:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is assumed to be 0.05.

The sample has a size n=209.

The sample proportion is p=0.536.

p=X/n=112/209=0.536

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{209}}\\\\\\ \sigma_p=\sqrt{0.001196}=0.035

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.536-0.5-0.5/209}{0.035}=\dfrac{0.034}{0.035}=0.972

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>0.972)=0.166

As the P-value (0.166) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences.

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Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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