In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for Italian restaurants. The results follow. City New York Chicago Boston Las Vegas San Francisco Respondents (%) 55 16 15 7 7 Let A denote the set of cities that were voted the best by more than 10% of the respondents, let B be the set of cities that were voted the best by between 10% and 20% of the respondents, and let C denote the set of cities that were voted the best by fewer than 10% of the respondents. Find the following sets. (Let N represent New York, H represent Chicago, T represent Boston, L represent Las Vegas, and S represent San Francisco. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for Italian restaurants. The results follow. City New York Chicago Boston Las Vegas San Francisco Respondents (%) 55 16 15 7 7 Let A denote the set of cities that were voted the best by more than 10% of the respondents, let B be the set of cities that were voted the best by between 10% and 20% of the respondents, and let C denote the set of cities that were voted the best by fewer than 10% of the respondents. Find the following sets. (Let N represent New York, H represent Chicago, T represent Boston, L represent Las Vegas, and S represent San Francisco. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for Italian restaurants. The results follow.
| City | New York |
Chicago | Boston | Las Vegas |
San Francisco |
|---|---|---|---|---|---|
| Respondents (%) | 55 | 16 | 15 | 7 | 7 |
Let A denote the set of cities that were voted the best by more than 10% of the respondents, let B be the set of cities that were voted the best by between 10% and 20% of the respondents, and let C denote the set of cities that were voted the best by fewer than 10% of the respondents. Find the following sets. (Let N represent New York, H represent Chicago, T represent Boston, L represent Las Vegas, and S represent San Francisco. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
(a)
A, B, and C
A
=
B
=
C
=
(b)
A ∪ B
(c)
A ∩ B
(d)
AC ∩ B
(e)
A ∩ BC
(f)
(A ∪ B)C
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