9. A survey on a sample of persons who played at least one of the video games P, Q and R yielded the following data: 33 persons played P 40 persons played Q 36 persons played R 7 persons played P and R only 4 persons played P and Q only 12 persons played Q and R only 15 persons played Q only. (a) Use x to represent the number of persons who played all three video games. Draw a carefully labelled Venn diagram to represent the data given. (b) Determine the value of x. (c) Calculate the number of persons in the sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Can you complete a, b, and c
9. A survey on a sample of persons who played at
least one of the video games P, Q and R yielded
the following data:
33 persons played P
40 persons played Q
36 persons played R
7 persons played P and R only
4 persons played P and Q only
12 persons played Q and R only
15 persons played Q only.
1
(a) Use x to represent the number of persons who
played all three video games. Draw a carefully
labelled Venn diagram to represent the data given.
(b) Determine the value of x.
(c) Calculate the number of persons in the sample.
Transcribed Image Text:9. A survey on a sample of persons who played at least one of the video games P, Q and R yielded the following data: 33 persons played P 40 persons played Q 36 persons played R 7 persons played P and R only 4 persons played P and Q only 12 persons played Q and R only 15 persons played Q only. 1 (a) Use x to represent the number of persons who played all three video games. Draw a carefully labelled Venn diagram to represent the data given. (b) Determine the value of x. (c) Calculate the number of persons in the sample.
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