Question

the results of a survey of customers at a pet supply store showed that 37 owned turtles, 34 owned geese, and 15 owned both turtles and geese. how many owned either a turtle or a goose?
of the customers surveyed, □ owned either a turtle or a goose.
(type an integer or a decimal.)

Explanation:

Step1: Use the principle of inclusion - exclusion

The formula for \(n(A\cup B)=n(A)+n(B)-n(A\cap B)\), where \(A\) is the set of customers who own turtles and \(B\) is the set of customers who own geese.
Let \(n(A) = 37\), \(n(B)=34\), and \(n(A\cap B)=15\).

Step2: Substitute the values into the formula

\(n(A\cup B)=37 + 34-15\)
\(n(A\cup B)=71 - 15\)
\(n(A\cup B)=56\)

Answer:

56