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Nitella [24]
3 years ago
12

What is the area of this composite figure?

Mathematics
2 answers:
ioda3 years ago
8 0

Answer:

D

Step-by-step explanation:

11Alexandr11 [23.1K]3 years ago
4 0

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

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Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c
Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 162, \sigma = 8

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

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

Z = \frac{150 - 162}{8}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

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

Z = \frac{180 - 162}{8}

Z = 2.25

Z = 2.25 has a pvalue of 0.9878

X = 160

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

Z = \frac{160 - 162}{8}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

7 0
2 years ago
29,17,38,71,35,63,24. Two numbers that add up to 100. Two numbers which differ by 46, a multiple of 9
Dmitry [639]
  • 2 numbers that add up to 100: 71+29=100
  • 2 numbers which differ by 46: 63-17=46
  • A multiple of 9: 9x7=63

8 0
3 years ago
What two numbers multiply to get -15 but add together to get -2?
damaskus [11]

Answer:

-5,3

Step-by-step explanation:

-5x3=-15

-5+3=-2

4 0
2 years ago
Is 0.007 times 10 equivalent to 0.07
katen-ka-za [31]
Yes 0.007*10= 0.07
Youre correct
7 0
2 years ago
Read 2 more answers
Find the length of a missing side, x , in the triangle at right. Show the work leading to your answer
BARSIC [14]

Answer:

48

Step-by-step explanation:

!3x5 is 48

5 0
2 years ago
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