? QUESTION
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A pole that is 3.4 m tall casts a shadow that is 1.6 m long. At the same time, a nearby building casts a shadow that is 39.75 m long. How tall is the building?
Round your answer to the nearest meter.

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Ответ:

agilitygirl1

06.02.2020

Mathematics

$50-1.64\frac{15}{\sqrt{30}}=45.509$

$50+1.64\frac{15}{\sqrt{30}}=54.491$

The 90% confidence inverval for the mean will be 45.509 and 54.491

Step-by-step explanation:

Information given

$\bar X= 50$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma= 15$ represent the sample standard deviation

n= 30 represent the sample size

Confidence interval

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 $\alpha/2 =0.05$ , the critical value would be $z_{\alpha/2}=1.64$

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

$50-1.64\frac{15}{\sqrt{30}}=45.509$

$50+1.64\frac{15}{\sqrt{30}}=54.491$

The 90% confidence inverval for the mean will be 45.509 and 54.491

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? QUESTION Learning Page A pole that is 3.4 m tall casts a shadow that is 1.6 m long. At the same time, a nearby building casts a shadow that is 39.75 m long. How tall is the building? Round your answer to the nearest meter.