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fgiga [73]
2 years ago
7

In rectangle ABCD, point E lies halfway between sides AB and CD and halfway between sides AD and BC. If AB=6 and BC=9, what is t

he area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
Mathematics
1 answer:
zloy xaker [14]2 years ago
4 0

Answer:

Height=9/2=4.5

A=1/2*b*h

A=1/2*6*4.5

A=13.5

13.5*2=27

The area of the shaded region is 27.

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3 years ago
A random sample of 20 items is selected from a population. When computing a confidence interval for the population mean, what nu
kumpel [21]

Answer:

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

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 (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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