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Salsk061 [2.6K]
3 years ago
13

Find the area of the following composite figure: A circle with a area of 50 inches, a rectangle with an area of 75 inches, and a

square with an area of 20 inches. ***HINT: since we have the areas, all we have to do is add the areas of each shape to find the composite area.​
Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

145 inches

Step-by-step explanation:

Area of the circle = 50 inches

Area of the rectangle = 75 inches

Area of the square = 20 inches

Composite area = Area of the circle + Area of the rectangle + Area of the square

= 50 inches + 75 inches + 20 inches

= 145 inches

Composite area = 145 inches

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Answer:

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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".

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\bar X represent the sample mean for the sample  

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Part a

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 =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

Part b

For this case if we see the formula for the margin of error

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