C. In a survey conducted of 100 housewives on the brand of powder detergent they use it was found that: 60 housewives used brand X 30 housewives used brands X and Y 50 housewives used brand Y 25 housewives used brands X and Z 40 housewives used brand Z 20 housewives used brands Y and Z 15 housewives used brands X, Y and Z. a) Use a Venn diagram to describe the given data. b) Find the number of housewives who (1) used brands X and Z but did not use brand Y, and (ii) did not give their opinion.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 17SBE
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C. In a survey conducted of 100 housewives on the brand of powder detergent they use it
was found that:
60 housewives used brand X
30 housewives used brands X and Y
50 housewives used brand Y
25 housewives used brands X and Z
40 housewives used brand Z
20 housewives used brands Y and Z
15 housewives used brands X, Y and Z.
a) Use a Venn diagram to describe the given data.
b) Find the number of housewives who
(i)
used brands X and Z but did not use brand Y, and
(ii) did not give their opinion.
Transcribed Image Text:C. In a survey conducted of 100 housewives on the brand of powder detergent they use it was found that: 60 housewives used brand X 30 housewives used brands X and Y 50 housewives used brand Y 25 housewives used brands X and Z 40 housewives used brand Z 20 housewives used brands Y and Z 15 housewives used brands X, Y and Z. a) Use a Venn diagram to describe the given data. b) Find the number of housewives who (i) used brands X and Z but did not use brand Y, and (ii) did not give their opinion.
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