Suppose the heights (in inches) of men (ages 20–29) years old in the United States are normally distributed with a mean of 69.3 inches and a standard deviation of 2.92 inches.

1. The percent of men who are between 63.46 inches and 75.14 inches tall.
2. The percent of men who are taller than 72.22 inches.
3. The percent of men who are between 60.54 inches and 78.06 inches tall.
4. The percent of men who are shorter than 60.54 inches.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

answer: 40392

step-by-step explanation:

10098 x 4 = 40392

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.