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3 years ago

Jillian exercises 5 times a week. She runs 3 miles each morning and bikes in the evening. If she

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

The answer is: " 9 mi. "

Step-by-step explanation:

1 week = 7 days

Total exercise: 30 mi/ wk.

3 mi * 7 = 21 mi. / wk running.

How many miles per week biking?

Assuming that her exercise is strictly: 1) running; and 2) biking:

30 mi - 21 mi. = 9 mi.

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Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of

zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

$H_{0}: p = 0.29$

We want to test the hypothesis that this is true, so the alternate hypothesis is:

$H_{a}: p \neq 0.29$

The test statistic is:

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

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that $\mu = 0.29, \sigma = \sqrt{0.29*0.71}$

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that $n = 100, X = 0.21$

Value of the test statistic:

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

$z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}$

$z = -1.76$

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

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3 years ago

The top of a rectangular table has an area of 100 square feet and width of 5 feet. What is the length in feet of the surface

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Answer:

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Step-by-step explanation:

First differences:

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Second differences:

1.0-0.6, 1.4-1.0, 1.8-1.4

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Step-by-step explanation:

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