the period covered by the study, 50 subjects were given the chance to use all three drugs. The following results were obtained: 21 reported relief from drug A. 21 reported relief from drug B. 31 reported relief from drug C. 9 reported relief from both drugs A and B. 14 reported relief from both drugs A and C. 15 reported relief from both drugs B and C. 41 reported relief from at least one of the drugs. Note that some of the 21 subjects who reported relief from drug A may also have reported relief from drugs B or C. A similar occurrence may be true for the other data. a. How many people got relief from none of the drugs? b. How many people got relief from all three drugs? c. Let A be the set of all subjects who got relief from drug A, B the set of all subjects who got relief from drug B, and C the set of all subjects who got relief from drug C. Fill in the numbers for all eight regions of the diagram below.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Question 34 is continuously to the next picture. Thanks for help
the period covered by the study, 50 subjects were given the
chance to use all three drugs. The following results were
obtained:
21 reported relief from drug A.
21 reported relief from drug B.
31 reported relief from drug C.
9 reported relief from both drugs A and B.
14 reported relief from both drugs A and C.
15 reported relief from both drugs B and C.
41 reported relief from at least one of the drugs.
Note that some of the 21 subjects who reported relief
from drug A may also have reported relief from drugs
B or C. A similar occurrence may be true for the other
data.
a. How many people got relief from none of the drugs?
b. How many people got relief from all three drugs?
c. Let A be the set of all subjects who got relief from drug
A, B the set of all subjects who got relief from drug B,
and C the set of all subjects who got relief from drug C.
Fill in the numbers for all eight regions of the diagram
below.
B
Sample of Subjects
d. How many subjects got relief from A only?
Transcribed Image Text:the period covered by the study, 50 subjects were given the chance to use all three drugs. The following results were obtained: 21 reported relief from drug A. 21 reported relief from drug B. 31 reported relief from drug C. 9 reported relief from both drugs A and B. 14 reported relief from both drugs A and C. 15 reported relief from both drugs B and C. 41 reported relief from at least one of the drugs. Note that some of the 21 subjects who reported relief from drug A may also have reported relief from drugs B or C. A similar occurrence may be true for the other data. a. How many people got relief from none of the drugs? b. How many people got relief from all three drugs? c. Let A be the set of all subjects who got relief from drug A, B the set of all subjects who got relief from drug B, and C the set of all subjects who got relief from drug C. Fill in the numbers for all eight regions of the diagram below. B Sample of Subjects d. How many subjects got relief from A only?
34. A study was done to determine the efficacy of three differ-
ent drugs-A, B, and C-in relieving headache pain. Over
Transcribed Image Text:34. A study was done to determine the efficacy of three differ- ent drugs-A, B, and C-in relieving headache pain. Over
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