Question

the following table lists the ages and number of players per age group that are on a football team. Let A= (football players who are older than 9 years old) how many players are in the complement of A?

Answer 1

Answer:

the number of players that are in the complement of A is;

$7\text{ players}$

Given the table in the attached image.

A = (football players who are older than 9 years old)

$\begin{gathered} n(A)=6+2 \\ n(A)=8 \end{gathered}$

the compliment of A are the values that are not in A;

$\begin{gathered} n(A^{\prime})=n(8)+n(9)=5+2_{} \\ n(A^{\prime})=7 \end{gathered}$

Therefore, the number of players that are in the complement of A is;

$7\text{ players}$