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NNADVOKAT [17]
4 years ago
11

GEOMETRY HELP URGENT?

Mathematics
1 answer:
nadezda [96]4 years ago
6 0

Let the centre be O and the line with one end point at the centre and another at the chord CD touches the chord at S .

So CS is the half of 36.7 = 18.35

sin \angle COS = \frac{18.75}{21.8}

\angle COS = sin^{-1}(\frac{18.75}{21.8}) =59.35 degree\\

Therefore,


\angle COD =2*59.35 =118.7

Therefore the measurement of arc CD is 118.7 degree.



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Answer:

n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38

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Step-by-step explanation:

Notation

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=12 represent the population standard deviation

n represent the sample size  

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Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is \alpha=1-0.96 =0.04. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got z_{\alpha/2}=2.054, replacing into formula (b) we got:

n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38

So then the minimum sample to ensure the condition given is n= 38

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