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3 years ago

8

Answers to 17 and 19

1 answer:

Vesnalui [34]3 years ago

5 0

#17) 8 cubic feet.
#19) 5 miles.

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

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3 years ago

a school news paper estimates that their academic team will win 25 out of 30 matches for the season. After 15 matches, they have

san4es73 [151]

27% hope this helps:)

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3 years ago

so on khan academy we have this question and it makes NO SINCE! it says "start with the number 2380. divide by 10. the number wi

grigory [225]

Answer:

B) Hundreds

Step-by-step explanation:

<em>2380 ÷ 10 = 238</em>

The number 238 is in the hundreds as the first digit is in the hundreds. You can tell because you say "two hundred."

Hope this helps

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3 years ago

Use addition to solve the linear system of equations.

Ipatiy [6.2K]

I'm not quite sure if this is what you need, but I am going to solve these equations by elimination. x= 8/17 and y = 11/17 (8/17, 11/17).

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3 years ago

What is the radius of a sphere with a surface area of 100πcm2?

Leona [35]

Answer:

5cm

Step-by-step explanation:

A=4πr2 = 100πcm2

r = 5

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3 years ago