Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 58 preferred comedies. 42 preferred variety shows. 45 preferred serious drama. 16 preferred comedies and variety programs. 15 preferred variety and serious drama. 18 preferred comedies and serious drama. 8 preferred all types. 5 did not like any of these TV show types. how many people did matt ask?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 7PPS
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Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows.

58 preferred comedies.
42 preferred variety shows.
45 preferred serious drama.
16 preferred comedies and variety programs.
15 preferred variety and serious drama.
18 preferred comedies and serious drama.
8 preferred all types.
5 did not like any of these TV show types.

how many people did matt ask?

Expert Solution
Step 1

Given Data :

58 preferred comedies.
42 preferred variety shows.
45 preferred serious drama.
16 preferred comedies and variety programs.
15 preferred variety and serious drama.
18 preferred comedies and serious drama.
8 preferred all types.
5 did not like any of these TV show types.

Let :

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