a. Explanation Given information: The percent m of American males between the age of 18 and 24 who are no more than x inches tall is modeled by: m ( x ) = 100 1 + e − 0.6114 ( x − 69.71 ) . And the percent m of American females between the age of 18 and 24who are no more than x inches tall is modeled by: f ( x ) = 100 1 + e − 0.66607 ( x − 64.51 ) . Calculation: Given function are m ( x ) = 100 1 + e − 0.6114 ( x − 69.71 ) , f ( x ) = 100 1 + e − 0.66607 ( x − 64.51 ) . The graph of the given functions using graphing calculator is shown below. b. To determine To find: the horizontal asymptotes of the function using the graph of part (a) and interpret their meanings in the context of the problem. Answer The horizontal asymptotes are: f ( x ) = 0 a n d f ( x ) = 100 g ( x ) = 0 a n d g ( x ) = 100 Explanation Calculation: The horizontal asymptote of the function is given by substituting the value of x −axis component to ∞ . The horizontal asymptotes are: f ( x ) = 0 a n d f ( x ) = 100 g ( x ) = 0 a n d g ( x ) = 100 c. To determine To find: the average height for each sex( male or female). Answer Average height of male is 69.71. Average height of male is 64.51. Explanation Calculation: From the graph, most males and females are bigger than 52in tall and less than 78in tall and there are no more Americans male and female more than 78 in tall. Average height of male is 69.71. Average height of male is 64.51.

8th Edition

ISBN: 9780357022078

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 3.4, Problem 132E

To determine

To graph: two functions in the same viewing window.

Expert Solution

Explanation of Solution

Given information: The percent m of American males between the age of 18 and 24

who are no more than x inches tall is modeled by:

m(x)=1001+e−0.6114(x−69.71) .

And the percent m of American females between the age of 18 and 24who are no more

than x inches tall is modeled by:

f(x)=1001+e−0.66607(x−64.51) .

Calculation:

Given function are m(x)=1001+e−0.6114(x−69.71) , f(x)=1001+e−0.66607(x−64.51) .

The graph of the given functions using graphing calculator is shown below.

EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR, Chapter 3.4, Problem 132E

To determine

To find: the horizontal asymptotes of the function using the graph of part (a) and interpret their meanings in the context of the problem.

Expert Solution

Answer to Problem 132E

The horizontal asymptotes are:

f(x)=0 and f(x)=100g(x)=0 and g(x)=100

Explanation of Solution

Calculation:

The horizontal asymptote of the function is given by substituting the value of x −axis component to ∞ .

The horizontal asymptotes are:

f(x)=0 and f(x)=100g(x)=0 and g(x)=100

To determine

To find: the average height for each sex( male or female).

Expert Solution

Answer to Problem 132E

Average height of male is 69.71.

Average height of male is 64.51.

Explanation of Solution

Calculation:

From the graph, most males and females are bigger than 52in tall and less than 78in tall and there are no more Americans male and female more than 78 in tall.

Average height of male is 69.71.

Average height of male is 64.51.

Chapter 3.4, Problem 131E

Chapter 3.4, Problem 133E

Chapter 3 Solutions

EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR

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Prob. 78E Ch. 3.6 - Prob. 1E Ch. 3.6 - Prob. 2E Ch. 3.6 - Prob. 3E Ch. 3.6 - Prob. 4E Ch. 3.6 - Prob. 5E Ch. 3.6 - Prob. 6E Ch. 3.6 - Prob. 7E Ch. 3.6 - Prob. 8E Ch. 3.6 - Prob. 9E Ch. 3.6 - Prob. 10E Ch. 3.6 - Prob. 11E Ch. 3.6 - Prob. 12E Ch. 3.6 - Prob. 13E Ch. 3.6 - Prob. 14E Ch. 3.6 - Prob. 15E Ch. 3.6 - Prob. 16E Ch. 3.6 - Prob. 17E Ch. 3.6 - Prob. 18E Ch. 3.6 - Prob. 19E Ch. 3.6 - Prob. 20E Ch. 3.6 - Prob. 21E Ch. 3.6 - Prob. 22E Ch. 3.6 - Prob. 23E Ch. 3.6 - Prob. 24E Ch. 3.6 - Prob. 25E Ch. 3.6 - Prob. 26E Ch. 3.6 - Prob. 27E Ch. 3.6 - Prob. 28E Ch. 3.6 - Prob. 29E Ch. 3.6 - Prob. 30E Ch. 3.6 - Prob. 31E Ch. 3.6 - Prob. 32E Ch. 3.6 - Prob. 33E Ch. 3.6 - Prob. 34E Ch. 3.6 - Prob. 35E Ch. 3.6 - Prob. 36E Ch. 3.6 - Prob. 37E Ch. 3.6 - Prob. 38E Ch. 3.6 - Prob. 39E Ch. 3.6 - Prob. 40E Ch. 3.6 - Prob. 41E Ch. 3.6 - Prob. 42E Ch. 3.6 - Prob. 43E Ch. 3.6 - Prob. 44E Ch. 3.6 - Prob. 45E Ch. 3.6 - Prob. 46E Ch. 3 - Prob. 1CR Ch. 3 - Prob. 2CR Ch. 3 - Prob. 3CR Ch. 3 - Prob. 4CR Ch. 3 - 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Prob. 58CR Ch. 3 - Prob. 59CR Ch. 3 - Prob. 60CR Ch. 3 - Prob. 61CR Ch. 3 - Prob. 62CR Ch. 3 - Prob. 63CR Ch. 3 - Prob. 64CR Ch. 3 - Prob. 65CR Ch. 3 - Prob. 66CR Ch. 3 - Prob. 67CR Ch. 3 - Prob. 68CR Ch. 3 - Prob. 69CR Ch. 3 - Prob. 70CR Ch. 3 - Prob. 71CR Ch. 3 - Prob. 72CR Ch. 3 - Prob. 73CR Ch. 3 - Prob. 74CR Ch. 3 - Prob. 75CR Ch. 3 - Prob. 76CR Ch. 3 - Prob. 77CR Ch. 3 - Prob. 78CR Ch. 3 - Prob. 79CR Ch. 3 - Prob. 80CR Ch. 3 - Prob. 81CR Ch. 3 - Prob. 82CR Ch. 3 - Prob. 83CR Ch. 3 - Prob. 84CR Ch. 3 - Prob. 85CR Ch. 3 - Prob. 86CR Ch. 3 - Prob. 87CR Ch. 3 - Prob. 88CR Ch. 3 - Prob. 89CR Ch. 3 - Prob. 90CR Ch. 3 - Prob. 91CR Ch. 3 - Prob. 92CR Ch. 3 - Prob. 93CR Ch. 3 - Prob. 94CR Ch. 3 - Prob. 95CR Ch. 3 - Prob. 96CR Ch. 3 - Prob. 97CR Ch. 3 - Prob. 98CR Ch. 3 - Prob. 99CR Ch. 3 - Prob. 100CR Ch. 3 - Prob. 101CR Ch. 3 - Prob. 102CR Ch. 3 - Prob. 103CR Ch. 3 - Prob. 104CR Ch. 3 - Prob. 105CR Ch. 3 - Prob. 106CR Ch. 3 - Prob. 107CR Ch. 3 - Prob. 108CR Ch. 3 - Prob. 109CR Ch. 3 - Prob. 110CR Ch. 3 - Prob. 111CR Ch. 3 - Prob. 112CR Ch. 3 - Prob. 113CR Ch. 3 - Prob. 114CR Ch. 3 - Prob. 115CR Ch. 3 - Prob. 116CR Ch. 3 - Prob. 117CR Ch. 3 - Prob. 118CR Ch. 3 - Prob. 119CR Ch. 3 - Prob. 120CR Ch. 3 - Prob. 121CR Ch. 3 - Prob. 122CR Ch. 3 - Prob. 123CR Ch. 3 - Prob. 124CR Ch. 3 - Prob. 125CR Ch. 3 - Prob. 126CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 17CT Ch. 3 - Prob. 18CT Ch. 3 - Prob. 19CT Ch. 3 - Prob. 20CT Ch. 3 - Prob. 21CT Ch. 3 - Prob. 22CT Ch. 3 - Prob. 23CT Ch. 3 - Prob. 24CT Ch. 3 - Prob. 25CT Ch. 3 - Prob. 26CT Ch. 3 - Prob. 27CT Ch. 3 - Prob. 28CT Ch. 3 - Prob. 29CT Ch. 3 - Prob. 30CT Ch. 3 - Prob. 1STP Ch. 3 - Prob. 2STP Ch. 3 - Prob. 3STP Ch. 3 - Prob. 4STP Ch. 3 - Prob. 5STP Ch. 3 - Prob. 6STP Ch. 3 - Prob. 7STP Ch. 3 - Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP Ch. 3 - Prob. 14STP Ch. 3 - Prob. 15STP Ch. 3 - Prob. 16STP Ch. 3 - Prob. 17STP Ch. 3 - Prob. 18STP Ch. 3 - Prob. 19STP Ch. 3 - Prob. 20STP Ch. 3 - Prob. 21STP Ch. 3 - Prob. 22STP Ch. 3 - Prob. 23STP Ch. 3 - Prob. 24STP Ch. 3 - Prob. 25STP Ch. 3 - Prob. 26STP

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