survey of American households found that 1/2 had a land line, 7/12 had cable, and 1/4 had neither. What proportion had both a land line and cable?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 47WE
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A survey of American households found that 1/2 had a land line, 7/12 had cable, and 1/4 had neither. What proportion had both a land line and cable?

Expert Solution
Step 1

Given:

P( L) = 1/2

P(C) = 7/12

P( None) = P( L U C)C= 1/4 

P ( L U C) = 1 - P( L U C)C= 1- 1/4 = 3/4

 

 

 

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