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3 years ago

Each side of a equilateral triangle measures 9cm. Find the height, h, of the triangle. ...Please show work :] thanks

Mathematics

1 answer:

zaharov [31]3 years ago

7 0

Break it up into 2 triangles. base is 4.5, hypotenuse is 9
4.5^2+b^2=8120.25+b^2=81b^2=60.75
h=7.794228634059948

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Eight times the difference of a number and seventeen is thirty"?

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Step-by-step explanation:

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Yuri [45]

Answer:

a) Assume that the population has a normal distribution.

And the reason is because this distribution is tabulated and is possible to find quantiles for a confidence level given. And for the uniform distribution we don't have somthing like this.

b) $218- 1.6449 \frac{72}{\sqrt{26}}= 194.77$

$218+ 1.6449 \frac{72}{\sqrt{26}}= 241.23$

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".

$\bar X =218$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=72$ represent the population standard deviation

n=26 represent the sample size

Calculate the confidence interval

Part a

For this case the correct answer would be:

Assume that the population has a normal distribution.

And the reason is because this distribution is tabulated and is possible to find quantiles for a confidence level given. And for the uniform distribution we don't have somthing like this.

Part b

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.6449$

Now we have everything in order to replace into formula (1):

$218- 1.6449 \frac{72}{\sqrt{26}}= 194.77$

$218+ 1.6449 \frac{72}{\sqrt{26}}= 241.23$

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3 years ago