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3 years ago

Find the missing angle measure, arc measure or solve for x. Show all work!

Mathematics

1 answer:

n200080 [17]3 years ago

5 0

Answer:

mYW = 151°

Step-by-step explanation:

∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:

m∠XWY = mXY / 2

37° = mXY / 2

mXY = 74°

All arcs in a circle add up to 360°. Because of this, we can say:

mXY + mYW + mWX = 360°

74° + mYW + 135° = 360°

209° + mYW = 360°

mYW = 151°

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Answer:

$n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94$

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma= 500$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

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

And on this case we have that ME =120 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 confidence2 level is 98% or 0.98 then the significance level would be $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , the critical value for this case would be $z_{\alpha/2}=2.326$ , replacing into formula (b) we got: