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3 years ago

12

Taylor estimates that the faucet in her kitchen drips at a rate of 1 drop every 2 seconds. James wants to know how many times he

r faucet drips in a week. Use dimensional analysis to find out how many drips Taylor's sink drips in a week

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

302400

Step-by-step explanation:

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A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer

weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject $H_0$ , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

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.

0.03 is tested at the null hypothesis:

This means that $\mu = 0.03, \sigma = \sqrt{0.03*0.97}$

28 out of 600 items produced by the machine were found defective.

This means that $n = 600, X = \frac{28}{600} = 0.0467$

Value of the test-statistic:

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

$z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}$

$z = 2.4$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject $H_0$ , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0

2 years ago

Find the value for x.

Nookie1986 [14]

Answer:

4x + 22

Step-by-step explanation:

6 0

2 years ago

Tracy is running in a 5.52 kilometer race on Saturday . A marathon is approximately 42 kilometers. How long will it take Tracy t

nika2105 [10]

Answer:

about 7.6 days long

Step-by-step explanation:

42 divided by 5.52 = about 7.6

3 0

3 years ago

a botanist was measuring how tall her plant grew. after two weeks it had grown 9.62 inches. the second week alone it had grown 3

Elanso [62]

Answer:

6.5 inches

Step-by-step explanation:

Take the total 9.62 inches

Remove the 3.12 inches from the second week and there is your answer!

6 0

2 years ago

Which statement correctly finds the interquartile range for the set of data represented by the box plot?

gizmo_the_mogwai [7]

Answer:

<em>B. 11 - 6 = 5</em>

Step-by-step explanation:

Median: 9.5

Lower Quartile: 6

Upper Quartile: 11

Interquartile Range: upper quartile - lower quartile = answer

6 0

2 years ago