Find the area of the shaded region. the graph below depicts iq scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

The percentage of the shaded area under the curve is about 74.8%

Step-by-step explanation:

Given the Parameters :

Recall :

Zscore = (X - μ) ÷ σ

Zscore = (110 - 100) / 15

Zscore = 10 / 15 = 0.667

The shaded region is the percentage of the area under the curve less than the Zscore of 0.667

Using a normal distribution table :

P(Z < 0.667) = 0.74761

The percentage of the area under the curve is 74.8% .

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  0.7475

Step-by-step explanation:

A suitable calculator can show the area under the curve is 0.7475.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.