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alexgriva [62]
2 years ago
13

Eva, Josh, and David gather and shell pecans for their mother. Eva gathers 2 1/2 pounds of pecans, Josh collects 3.25 pounds, an

d David harvests 4 3/8 pounds. If they place all the pecans in one basket and each shells the same amount of pecans, how many pounds would each person shell? Group of answer choices
Mathematics
1 answer:
Nat2105 [25]2 years ago
4 0

Answer:

3.375 pounds.

Step-by-step explanation:

Total number of pounds of pecans =

2 1/2 pounds of pecans + 4 3/8 pounds + 3.25 pounds

= (6.875 + 3.25) pounds

= 10.125 pounds.

The total number of person = 3 person.

Therefore, the number of pounds each person would shell =

10.125 pounds/3

= 3.375 pounds

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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
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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}

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

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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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