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3 years ago

3 Parts with a picture. Thanks!

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

We have $8.50 an hour gross minus $2.15 an hour tax and bennys. Then $3.75 daily expense. In one week our net take-away y after x hours is

y = x(8.50 - 2.15) - 5(3.75)

That's the answer, or we can simplify it to

Answer: y = 6.35 x - 18.75

Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>

Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.

To make $120 in a week, we solve for x where y=120

120 = 6.35x - 18.75

138.75 = 6.35 x

x = 138.75 / 6.35 = 21.8503937007874

That wasn't the nice round number I was expecting/hoping for. I don't see a mistake so let's go with

Answer: 21.85 hours to make $120

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3 years ago

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Using the z-distribution, as we are working with a proportion, it is found that there is enough evidence to conclude that the proportion is different of 50%.

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

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

$H_0: p = 0.5$

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

$H_1: p \neq 0.5$ .

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

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

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n is the sample size.

In this problem, the parameters are:

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Then, the value of the test statistic is as follows:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

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More can be learned about the z-distribution at brainly.com/question/26454209

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