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Rudiy27
2 years ago
10

Find the area of the shaded figure. To do so, subtract the area of the smaller

Mathematics
1 answer:
Vikentia [17]2 years ago
3 0

Answer:

x⁴ - 8x² + 9

Step-by-step explanation:

The Area of the smallest square is A1 = x . x = x²

The Area of the second square is A2 = ( x² - 3 )(x² - 3)

A2 = x⁴ - 3x² - 3x² + 9

A2 = x⁴ - 6x² + 9

The Area of the Shaded shape is A2 - A1

x⁴ - 6x² + 9 - x²

x⁴ - 8x² + 9

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Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the
ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 180, \sigma = 8

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 180}{8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 185

Z = \frac{X - \mu}{\sigma}

Z = \frac{185 - 180}{8}

Z = 0.63

Z = 0.63 has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

3 0
3 years ago
12ax^{2} -15ab-16a+20b[/tex]
irina1246 [14]

Answer:

12 a x^ 2 -15 a b-16 a

5 0
3 years ago
How many square feet of clear grass will be needed for the window? (Please Provided Explanation of Answer)
Reil [10]

Answer:

40 sq ft

Step-by-step explanation:

A= bh

A= (4)(10)

A= 40

7 0
3 years ago
7x=5+5x x equals what
dybincka [34]

7x=5+5x

x=5/2

It could also be 2 1/2

3 0
3 years ago
If the sum of two numbers is 10 and the diffference is 6, find the numbers​
defon
8 and 2
8+2 = 10
8-2 = 6
7 0
2 years ago
Read 2 more answers
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