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The answer is 0.23

Step-by-step explanation:

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Area of Shaded Region ≈ 0.23 cm^2

Step-by-step explanation:

Simple Question.

The diameter of the circle is 0.4 m, so the radius = 0.4/2 = 0.2 m.

The area of the circle = πr^2 = π(0.2)^2 = 0.04π

The area of the rectangle = 0.9*0.4 = 0.36

The area of the shaded region = 0.36 - 0.04π (π => 3.14) = 0.36 - 0.1256 = 0.2344 ≈ 0.23 cm^2

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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