Question

1. based on the venn diagram below, how many students are on the baseball team? baseball football 10 25 16 34

Explanation:

Step1: Identify the parts of the baseball set

The Venn - diagram has two sets (baseball and football). For the baseball team, we need to consider the number of students only in baseball and the number of students in the intersection (students who are in both baseball and football).
The number of students only in baseball is \(25\), and the number of students in the intersection (both baseball and football) is \(9\).

Step2: Calculate the total number of students in baseball

We use the formula for the number of elements in a set \(n(A)=n(A - B)+n(A\cap B)\), where \(A\) is the baseball set and \(B\) is the football set.
So, \(n(A)=25 + 9\).

$$25+9=34$$

Answer:

34