An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows:837 drank alcohol regularly, 639 smoked cigarettes, 176 used illegal drugs, 388 drank alcohol regularly and smoked cigarettes, 100 drank alcohol regularly and used illegal drugs, 105 smoked cigarettes and used illegal drugs, 83 engaged in all three behaviors, and 358 engaged in none of these behaviors. a) How many students were surveyed? b) How many drank alcohol or smoked cigarettes ? c) How many drank alcohol only? Of those surveyed,

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 5E
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An anonymous survey of college students was taken to determine behaviors regarding
alcohol, cigarettes, and illegal drugs. The results were as follows:837 drank alcohol
regularly, 639 smoked cigarettes, 176 used illegal drugs, 388 drank alcohol regularly and
smoked cigarettes, 100 drank alcohol regularly and used illegal drugs, 105 smoked
cigarettes and used illegal drugs, 83 engaged in all three behaviors, and 358 engaged in
none of these behaviors.
a) How many students were surveyed?
b) How many drank alcohol or smoked cigarettes ?
c) How many drank alcohol only?
d) How many drank alcohol and smoked cigarettes, but did not use illegal drugs?
Of those surveyed,
e) How many smoked cigarettes or used illegal drugs, but did not drink alcohol?
f) How many engaged in exactly two of these behaviors?
g) How many engaged in at least one of these behaviors?
Transcribed Image Text:An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows:837 drank alcohol regularly, 639 smoked cigarettes, 176 used illegal drugs, 388 drank alcohol regularly and smoked cigarettes, 100 drank alcohol regularly and used illegal drugs, 105 smoked cigarettes and used illegal drugs, 83 engaged in all three behaviors, and 358 engaged in none of these behaviors. a) How many students were surveyed? b) How many drank alcohol or smoked cigarettes ? c) How many drank alcohol only? d) How many drank alcohol and smoked cigarettes, but did not use illegal drugs? Of those surveyed, e) How many smoked cigarettes or used illegal drugs, but did not drink alcohol? f) How many engaged in exactly two of these behaviors? g) How many engaged in at least one of these behaviors?
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