A survey was given to a group of students that asked about which sports they liked.  Of the 65 students surveyed, 30 students liked both soccer and basketball, 40 students liked basketball, and 20 students like only soccer but not basketball.   a)  Complete the table by filling in the blank boxes.    Like  Soccer Didn’t Like Soccer  Total Like  Basketball

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A survey was given to a group of students that asked about which sports they liked.  Of the 65 students surveyed, 30 students liked both soccer and basketball, 40 students liked basketball, and 20 students like only soccer but not basketball.  

a)  Complete the table by filling in the blank boxes. 

  Like
 Soccer
Didn’t Like
Soccer 
Total
Like 
Basketball 
     
Didn’t Like 
Basketball
     
Total      


 Use the table to complete the Venn diagram and answer the following.

b)  In the diagram above, how many students are in region 1? 

c)  In the diagram above, how many students are in region 2?  

d)  In the diagram above, how many students are in region 3?  

e)  In the diagram above, how many students are in region 4?  

Use the table and/or Venn diagram to complete the following.

f)   students liked soccer and basketball.

g)  students liked soccer or basketball.

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