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3 years ago

14

Jamal hiked on two trails. That first trail was 5 1/3 miles long, and the second trail was 1 3/4 times as long as the first trai

l. How many miles did jamal hike?

1 answer:

Alex73 [517]3 years ago

4 0

Answer:

The answer Is 9 1/3.

Step-by-step explanation:

2/3 of 5/6 =2/3x5/6= 10/18 =5/9 mile

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Find the circumference of a circle with the diameter of 10 inches. Leave your answers in form of pi

MrRa [10]

Answer:

Circumference = 10π

Step-by-step explanation:

First identify the circumference formula as such:

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Knowing 2 times the radius (2r) in the formula can be rewritten as the diameter, the formula itself can be rewritten as:

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If we know the diameter = 10 inches, substitute in the circumference formula πd to get:

π * 10 inches = 10 * π inches = 10π inches

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2 years ago

Please explain your answer.

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2 years ago

A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 98% confidence inter

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Answer:

The minimum sample size required to create the specified confidence interval is 1024.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.08, \sigma = \sqrt{1.21} = 1.1$ .

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.08 = 2.327*\frac{1.1}{\sqrt{n}}$

$0.08\sqrt{n} = 2.327*1.1$

$\sqrt{n} = \frac{2.327*1.1}{0.08}$

$(\sqrt{n})^{2} = (\frac{2.327*1.1}{0.08})^{2}$

$n = 1024$

The minimum sample size required to create the specified confidence interval is 1024.

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