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frosja888 [35]
3 years ago
13

Find the shaded area, screenshot provided please help I have an online exam, and I only have 10 minutes remaining

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

157.1

Step-by-step explanation:

If you split the blue shape like in the picture, it shows that there is 1 large semicircle and 2 smaller ones.

The area of a semicircle is (pi×radius²)÷2

First, you would find out the area of the large semicircle by substituting in the numbers:

(3.142×10²)÷2=157.1

Then you would find out the area of the smaller semicircle:

The diameter of the semicircle is 10 so to find the radius you would half it.

(3.142×5²)÷2=39.275

To find the area of the whole shape, you would have to take away 39.275 and then add it back on so the answer would be 157.1

Hope this helps :)

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The sum of an integer n and four is equal to the difference of ten and two.What is the value of n?
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3 years ago
The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size
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Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

4 0
3 years ago
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