3. according to the u. s. census website (), based on the u. s. population in 2010, the probability that a randomly selected man is 65 or older is 0.114,
and the probability that a randomly selected woman is 65 or older is 0.146. in the questions that follow, round your answers to the nearest thousandth:
a. if a man is selected at random and a woman is selected at random, what is the probability that both people selected are 65 or older?
(hint: use the multiplication rule for independent events.)
b. if two men are selected at random, what is the probability that both of them are 65 or older?
c. if two women are selected at random, what is the probability that neither of them is 65 or older?

a. 0.017

b. 0.013

c. 0.021

Step-by-step explanation:

Let p be the probability that a randomly selected man is 65 or older

And q be the probability that a randomly selected woman is 65 or older

Then p=0.114 and q=0.146

Using the multiplication rule for independent events:

a. If a man is selected at random and a woman is selected at random, the probability that both people selected are 65 or older is p × q = 0.114 × 0.146 ≈ 0.017

b. If two men are selected at random, the probability that both of them are 65 or older is p × p = 0.114 × 0.114 ≈ 0.013

c. If two women are selected at random, the probability that neither of them is 65 or older is q × q = 0.146 × 0.146 ≈ 0.021

answer: i oofed

step-by-step explanation:

oofed=wow

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