Thirty-five cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 18 had a professional sports team, 18 had a symphony, 11 had a children's museum, 13 had a professional sports team and a symphony, 5 had a professional sports team and a children's museum, 6 had a symphony and a children's museum, and 4 had all three activities. Complete parts a) through e) below. a) How many of the cities surveyed had only a professional sports team? (Simplify your answer.) b) How many of the cities surveyed had a professional sports team and a symphony, but not a children's museum? (Simplify your answer.) c) How many of the cities surveyed had a professional sports team or a symphony? (Simplify your answer.) d) How many of the cities surveyed had a professional sports team or a symphony, but not a children's museum? (Simplify your answer.) e) How many of the cities surveyed had exactly two of the activities? (Simplify your answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Thirty-five cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these
cities, 18 had a professional sports team, 18 had a symphony, 11 had a children's museum, 13 had a professional sports team and a
symphony, 5 had a professional sports team and a children's museum, 6 had a symphony and a children's museum, and 4 had all three
activities. Complete parts a) through e) below.
a) How many of the cities surveyed had only a professional sports team?
(Simplify your answer.)
b) How many of the cities surveyed had a professional sports team and a symphony, but not a children's museum?
(Simplify your answer.)
c) How many of the cities surveyed had a professional sports team or a symphony?
(Simplify your answer.)
d) How many of the cities surveyed had a professional sports team or a symphony, but not a children's museum?
(Simplify your answer.)
e) How many of the cities surveyed had exactly two of the activities?
(Simplify your answer.)
Next
Transcribed Image Text:Thirty-five cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 18 had a professional sports team, 18 had a symphony, 11 had a children's museum, 13 had a professional sports team and a symphony, 5 had a professional sports team and a children's museum, 6 had a symphony and a children's museum, and 4 had all three activities. Complete parts a) through e) below. a) How many of the cities surveyed had only a professional sports team? (Simplify your answer.) b) How many of the cities surveyed had a professional sports team and a symphony, but not a children's museum? (Simplify your answer.) c) How many of the cities surveyed had a professional sports team or a symphony? (Simplify your answer.) d) How many of the cities surveyed had a professional sports team or a symphony, but not a children's museum? (Simplify your answer.) e) How many of the cities surveyed had exactly two of the activities? (Simplify your answer.) Next
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