The following table gives the seat-belt use rate (in percent) in the five New England states from 2011 through 2014. 2011 2012 2013 2014 Connecticut 88.4 86.8 86.6 85.1 Maine 81.6 84.4 83.0 85.0 Massachusetts 73.2 72.7 74.8 76.6 New Hampshire 75.0 68.6 73.0 70.4 Rhode Island 80.4 77.5 85.6 87.4 Vermont 84.7 84.2 84.9 84.1 (a) Write a 6 ✕ 4 matrix A to represent this information. A = (b)
The following table gives the seat-belt use rate (in percent) in the five New England states from 2011 through 2014. 2011 2012 2013 2014 Connecticut 88.4 86.8 86.6 85.1 Maine 81.6 84.4 83.0 85.0 Massachusetts 73.2 72.7 74.8 76.6 New Hampshire 75.0 68.6 73.0 70.4 Rhode Island 80.4 77.5 85.6 87.4 Vermont 84.7 84.2 84.9 84.1 (a) Write a 6 ✕ 4 matrix A to represent this information. A = (b)
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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Question
The following table gives the seat-belt use rate (in percent) in the five New England states from 2011 through 2014.
| 2011 | 2012 | 2013 | 2014 | |
|---|---|---|---|---|
| Connecticut | 88.4 | 86.8 | 86.6 | 85.1 |
| Maine | 81.6 | 84.4 | 83.0 | 85.0 |
| Massachusetts | 73.2 | 72.7 | 74.8 | 76.6 |
| New Hampshire | 75.0 | 68.6 | 73.0 | 70.4 |
| Rhode Island | 80.4 | 77.5 | 85.6 | 87.4 |
| Vermont | 84.7 | 84.2 | 84.9 | 84.1 |
(a)
Write a 6 ✕ 4 matrix A to represent this information.
| A = |
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(b)
Find a 4 ✕ 1 matrix B such that AB represents the average seat-belt use rate in each of the New England states from 2011 through 2014. Find AB. (For AB, round percentages to one decimal place.)
| B = |
|
||||||||||||||||||||
| AB = |
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What was the average seat-belt use rate in Massachusetts from 2011 through 2014? (Round your answer to one decimal place.)
%
(c)
Find a matrix C such that CA represents the average seatbelt use rate for the five New England states in each of the years in question. Find CA. (For CA, round percentages to one decimal place.)
| C = |
|
||||||||||||||||||||
| CA = |
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What was the average seat-belt use rate for the six New England States in 2013? (Round your answer to one decimal place.)
%
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