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Mathematics

1 answer:

iVinArrow [24]3 years ago

5 0

Answer:

62°

Step-by-step explanation:

Since one arm making angle x is diameter. So, by inscribed angle theorem, we have:

$x = \frac{1}{2} (180 \degree - 56 \degree) \\ \\ x= \frac{1}{2} \times 124 \degree \\ \\ \huge \red{ \boxed{x = 62 \degree}}$

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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.

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: