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2 years ago

Find the distance between each pair of points. Round to the nearest tenth (-2,2) (5,2)

Mathematics

1 answer:

bija089 [108]2 years ago

6 0

Answer:

Distance = 7

Step-by-step explanation:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(5-(-2))^2+(2-2)^2} \\d= \sqrt{(7)^2+(0)^2} \\d= \sqrt{49+0} \\d= \sqrt{49}\\ d= 7$

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A population has a standard deviation of 5.5. What is the standard error of the sampling distribution if the sample size is 81?

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Answer:

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$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error would be:

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And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

Step-by-step explanation:

For this case we know the population deviation given by:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error would be:

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And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

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Answer:

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