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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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