
Concept explainers
In Exercises 43-48, construct a Venn diagram and determine the cardinality for each region. Use the completed Venn diagram to answer the questions.
An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows: 894 drank alcohol regularly, 665 smoked cigarettes, 192 used illegal drugs, 424 drank alcohol regularly and smoked cigarettes, 114 drank alcohol regularly and used illegal drugs, 119 smoked cigarettes and used illegal drugs, 97 engaged in all three behaviors, and 309 engaged in none of these behaviors.
Source: Jamie Langille, University Of Nevada Las Vegas
a. How many students were surveyed?
Of those surveyed,
b. How many drank alcohol regularly or smoked cigarettes?
c. How many used illegal drugs only?
d. How many drank alcohol regularly and smoked cigarettes, but did not use illegal drugs?
e. How many drank alcohol regularly or used illegal drugs, but did not smoke cigarettes?
f. How many engaged in exactly two of these behaviors?
g. How many engaged in at least one of these behaviors?

Want to see the full answer?
Check out a sample textbook solution
Chapter 2 Solutions
Pearson eText for Thinking Mathematically -- Instant Access (Pearson+)
- pls helparrow_forwardThe areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be C defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]? 17 y Graph of f 00 8 76 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3-2-1 -2 702 4 1 21 3 4 568 -4 -5 --6 -7 -8 x 5 6 7 8 9 10 17arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answerarrow_forward
- pls helparrow_forwardA tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 51 minutes? (c) As time increases, what happens to the salt concentration?arrow_forwardpls helparrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt

