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Elis [28]
3 years ago
5

Scott runs 6 miles in 55 minutes. at the same rate how many miles would he run in 44 minutes

Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Answer:

4.8 miles

Step-by-step explanation:

We can write a ratio to solve

6 miles         x miles

------------   = --------------

55 minutes     44 minutes

Using cross products

6 * 44 = 55 * x

Divide each side by 55

6*44/55 = 55x/55

4.8 miles = x

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Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives
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The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that n = 400, \pi = \frac{280}{400} = 0.7

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

Give the margin of error for the 90% confidence interval.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.7*0.3}{400}}

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The margin of error for the 90% confidence interval is of 0.038.

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