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3 years ago

At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

Answer:

50 percent

Step-by-step explanation:

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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th

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Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

$n=\frac{z^{2}\sigma^{2}}{e^{2}}$

The first step is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, $1-\alpha=0.95 \Rightarrow \alpha=0.05$ .

Therefore we look for the critical value $z_{\alpha/2}=1.96$ .

Then we calculate the variance:

$\sigma = 3.7 \Rightarrow \sigma^{2}=13.69$

And we have that:

$e=2 \Rightarrow e^{2}=4$

Now we replace in the formula with the values we've just obtained:

$n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14$

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

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3 years ago

sweet t has 2 orange picks for every 5 green. I f there are 21 picks in all, how many picks are orange?

weeeeeb [17]

If there are 21 picks, 6 are orange

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Answer:

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Step-by-step explanation:

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