53. Education and Income A women's group takes a survey to determine the education and income of its members. Matrix A summarizes the proportions of members in various categories of years of postsecondary education and income. Matrix B shows the total number of members in each income category. (a) Calculate the product matrix AB. (b) Interpret the entries of the matrix AB. Income level Less than $50,000 $100,000 $50,000 to 100,000 or more None 0.75 1 to 4 0.25 More than 4 L0 0.10 0.70 0.70 = A 0.20 0.30 Total Less than $50,000 4 $50,000 to 100,000 20 $100,000 or more 10 %3D

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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53. Education and Income A women's group takes a survey to
determine the education and income of its members. Matrix A
summarizes the proportions of members in various categories
of years of postsecondary education and income. Matrix B
shows the total number of members in each income category.
(a) Calculate the product matrix AB.
(b) Interpret the entries of the matrix AB.
Income level
Less than
$50,000
$100,000
$50,000
to 100,000
or more
None 0.75
1 to 4 0.25
More than 4 L0
0.10
0.70
0.70 = A
0.20
0.30
Total
Less than $50,000
4
$50,000 to 100,000 20
$100,000 or more 10
%3D
Transcribed Image Text:53. Education and Income A women's group takes a survey to determine the education and income of its members. Matrix A summarizes the proportions of members in various categories of years of postsecondary education and income. Matrix B shows the total number of members in each income category. (a) Calculate the product matrix AB. (b) Interpret the entries of the matrix AB. Income level Less than $50,000 $100,000 $50,000 to 100,000 or more None 0.75 1 to 4 0.25 More than 4 L0 0.10 0.70 0.70 = A 0.20 0.30 Total Less than $50,000 4 $50,000 to 100,000 20 $100,000 or more 10 %3D
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