use the information about the animals in a pet store to answer the question.\n· 38% of the animals are…

use the information about the animals in a pet store to answer the question.\n· 38% of the animals are dogs.\n· 40% of the animals are spotted.\n· 12% of the animals are spotted dogs.\nwhat percent of the animals in the store are spotted or dogs?\na. 54%\nb. 66%\nc. 78%\nd. 80%

use the information about the animals in a pet store to answer the question.\n· 38% of the animals are dogs.\n· 40% of the animals are spotted.\n· 12% of the animals are spotted dogs.\nwhat percent of the animals in the store are spotted or dogs?\na. 54%\nb. 66%\nc. 78%\nd. 80%

Answer

Explanation:

Step1: Recall the formula for the union of two events

Let (A) be the event that an animal is a dog and (B) be the event that an animal is spotted. The formula for (P(A\cup B)) is (P(A)+P(B)-P(A\cap B)).

Step2: Substitute the given percentages

We know that (P(A) = 38%), (P(B)=40%) and (P(A\cap B)=12%). Then (P(A\cup B)=38% + 40% - 12%).

Step3: Calculate the result

(38%+40% - 12%=(38 + 40-12)%=66%)

Answer:

B. 66%