Suppose we wish to test the hypotheses h0: μ = 10 versus ha: μ < 10, where μ represents the mean age of children not in high school who are members of a large gymnastics club in a metropolitan area. assume age follows a normal distribution with σ = 2. a random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be = 8.76. what is the value of the p-value?

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

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: