The number of people in the survey who had listened to the AM station and not to the FM station during the 30 -day period, if in a survey of 100 residents in the last 30 days, 65 people had listened to the AM station and 45 had listened to the FM station and 30 had listened to both stations.
The number of people in the survey who had listened to the AM station and not to the FM station during the 30 -day period, if in a survey of 100 residents in the last 30 days, 65 people had listened to the AM station and 45 had listened to the FM station and 30 had listened to both stations.
Solution Summary: The author explains how the universal set U can be divided into four disjoint subsets.
To calculate :The number of people in the survey who had listened to the AM station and not to the FM station during the 30 -day period, if in a survey of 100 residents in the last 30 days, 65 people had listened to the AM station and 45 had listened to the FM station and 30 had listened to both stations.
( B )
To determine
To calculate:The number of people in the survey who had listened to the FM station and not to the AM station during the 30 -day period, if in a survey of 100 residents in the last 30 days, 65 people had listened to the AM station and 45 had listened to the FM station and 30 had listened to both stations.
( C )
To determine
To calculate:The number of people in the survey who had not listened to any station during the 30 -day period, if in a survey of 100 residents in the last 30 days, 65 people had listened to the AM station and 45 had listened to the FM station and 30 had listened to both stations.
( D )
To determine
To calculate:The organized table for the survey, if in a survey of 100 residents in the last 30 days, 65 people had listened to the AM station and 45 had listened to the FM station and 30 had listened to both stations.
A function is defined on the interval (-π/2,π/2) by this multipart rule:
if -π/2 < x < 0
f(x) =
a
if x=0
31-tan x
+31-cot x
if 0 < x < π/2
Here, a and b are constants. Find a and b so that the function f(x) is continuous at x=0.
a=
b= 3
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
f(x) = (x + 4x4) 5,
a = -1
lim f(x)
X--1
=
lim
x+4x
X--1
lim
X-1
4
x+4x
5
))"
5
))
by the power law
by the sum law
lim (x) + lim
X--1
4
4x
X-1
-(0,00+(
Find f(-1).
f(-1)=243
lim (x) +
-1 +4
35
4 ([
)
lim (x4)
5
x-1
Thus, by the definition of continuity, f is continuous at a = -1.
by the multiple constant law
by the direct substitution property
Chapter 7 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
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