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Population Movement   In 2008 the population of a country, broken down by regions, was 54.2 million in the Northeast, 65.1 million in the Midwest, 112.5 million in the South, and 70.2 million in the West. The table below shows the population movement during the period 2008–2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.) To Northeast Midwest South West Northeast 0.9923 0.0016 0.0042 0.0019   Midwest 0.0018 0.9896 0.0047 0.0039 South 0.0056 0.0059 0.9827 0.0058 West 0.0024 0.0033 0.0044 0.9899     Use matrix multiplication to estimate the population in each region in 2009. (Round all answers to the nearest 0.1 million.)

Population Movement   In 2008 the population of a country, broken down by regions, was 54.2 million in the Northeast, 65.1 million in the Midwest, 112.5 million in the South, and 70.2 million in the West. The table below shows the population movement during the period 2008–2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.) To Northeast Midwest South West Northeast 0.9923 0.0016 0.0042 0.0019   Midwest 0.0018 0.9896 0.0047 0.0039 South 0.0056 0.0059 0.9827 0.0058 West 0.0024 0.0033 0.0044 0.9899     Use matrix multiplication to estimate the population in each region in 2009. (Round all answers to the nearest 0.1 million.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.3: Multiplication Of Matrices
Problem 48E
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Population Movement   In 2008 the population of a country, broken down by regions, was 54.2 million in the Northeast, 65.1 million in the Midwest, 112.5 million in the South, and 70.2 million in the West. The table below shows the population movement during the period 2008–2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.)
To Northeast Midwest South West
Northeast 0.9923 0.0016 0.0042 0.0019  
Midwest 0.0018 0.9896 0.0047 0.0039
South 0.0056 0.0059 0.9827 0.0058
West 0.0024 0.0033 0.0044 0.9899
 
 
Use matrix multiplication to estimate the population in each region in 2009. (Round all answers to the nearest 0.1 million.)
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