the results of a survey of customers at a pet - supply store showed that 38 owned fish, 35 owned turtles…
the results of a survey of customers at a pet - supply store showed that 38 owned fish, 35 owned turtles, and 18 owned both fish and turtles. how many owned either a fish or a turtle? (type an integer or a decimal.)
Answer
Explanation:
Step1: Apply the inclusion - exclusion principle
The formula for (|A\cup B|) is (|A|+|B|-|A\cap B|), where (A) is the set of fish - owners and (B) is the set of turtle - owners. Let (|A| = 38), (|B|=35), and (|A\cap B| = 18).
Step2: Calculate the number of customers who own either a fish or a turtle
(|A\cup B|=38 + 35-18) (|A\cup B|=55)
Answer:
55