Chapter 13.4, Problem 36SR

a.

To determine

To calculate:

Number of students like going to movies or shopping.

Answer to Problem 36SR

Total Number of students like going to movies or shopping is $117$ .

Explanation of Solution

Given information:

  

Calculations:

The number of students that likes going to movies or shopping is the sum of the shaded areas of the given Venn diagram.

So there are $20+3+4+10+75+5=117$ .

Thus, students that like going to the movies or shopping is $117$ .

b.

To determine

To explain:

Activity which are mentioned by $37$ students.

Answer to Problem 36SR

Shopping and sports are the Activity that mentioned by $37$ students.

Explanation of Solution

Given information:

  

Explanations:

The Venn diagram shows the number of students that mentioned each activity, the total number of students that mentioned an activity is given by sum of entire circle which represents the activity.

So, Venn diagram shows there are two activities that were mentioned by $37$ students each which are shopping and sports.

c.

To determine

To calculate:

Number of students did not say they like movies.

Answer to Problem 36SR

Total Number of students did not say they like movies is $56$ .

Explanation of Solution

Given information:

  

Calculations:

The Venn diagram shows the number of students that mentioned each activity, the total number of students that did not mention an activity is equal to the number of students outside of the circle for hat activity.

There were $150$ students surveyed.

For the movies circle, there are $y150-\left(75+10+4+5\right)=56$ students outside of the movies circle.

So, there are $56$ students that did not say they liked the movies.