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09-05-2024
Mathematics

Answered

A magazine surveyed subscribers, asking which of the following reality shows they watched on a regular basis: Survivor, The Voice, America's Got Talent. The results showed that 352 watched Survivor,

296 watched The Voice,
283 watched America's Got Talent, 193 watched Survivor and The Voice, 198 watched Survivor and America's Got Talent,
140 watched The Voice and America's Got Talent
68 watched Survivor,
The Voice, and America's Got Talent, 26 watched none of these shows. Complete parts a) through e) below.

SOLVE Use Venn diagrams and set concepts to solve applications problems

a) How many subscribers were surveyed? (Simplify your answer.)
b) Of the subscribers surveyed, how many watched Survivor and America's Got Talent, but not The Voice? (Simplify your answer.)
c) Of the subscribers surveyed, how many watched The Voice, but neither Survivor nor America's Got Talent? (Simplify your answer.)
d) Of the subscribers surveyed, how many watched exactly two of these shows? (Simplify your answer.)
e) Of the subscribers surveyed, how many watched at least one of these shows? (Simplify your answer.)

Answer :

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