
Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Chapter 17.2, Problem 32PS
To determine
The winner using pair-wise comparison method by removing health care and lowering taxes from the table and if check this violates the Irrelevant Alternatives criterion in following outputs.
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
Chapter 17 Solutions
Nature of Mathematics (MindTap Course List)
Ch. 17.1 - Prob. 1PSCh. 17.1 - Prob. 2PSCh. 17.1 - Prob. 3PSCh. 17.1 - Prob. 4PSCh. 17.1 - Prob. 5PSCh. 17.1 - Prob. 6PSCh. 17.1 - Prob. 7PSCh. 17.1 - Prob. 8PSCh. 17.1 - Prob. 9PSCh. 17.1 - Prob. 10PS
Ch. 17.1 - Prob. 11PSCh. 17.1 - Prob. 12PSCh. 17.1 - Prob. 13PSCh. 17.1 - Prob. 14PSCh. 17.1 - In voting among three candidates, the outcomes are...Ch. 17.1 - Prob. 16PSCh. 17.1 - Prob. 17PSCh. 17.1 - Prob. 18PSCh. 17.1 - Prob. 19PSCh. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - Prob. 21PSCh. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - Prob. 24PSCh. 17.1 - a.How many different ways can a voter rank 3...Ch. 17.1 - Prob. 26PSCh. 17.1 - How many different ways can a voter rank n...Ch. 17.1 - Prob. 28PSCh. 17.1 - Prob. 29PSCh. 17.1 - Prob. 30PSCh. 17.1 - In voting method among three candidates, the...Ch. 17.1 - Prob. 32PSCh. 17.1 - Prob. 33PSCh. 17.1 - Prob. 34PSCh. 17.1 - Twelve board members are voting on after-meeting...Ch. 17.1 - Prob. 36PSCh. 17.1 - Prob. 37PSCh. 17.1 - Prob. 38PSCh. 17.1 - Prob. 39PSCh. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Prob. 44PSCh. 17.1 - Prob. 45PSCh. 17.1 - Prob. 46PSCh. 17.1 - Seventeen people serve on a board and are...Ch. 17.1 - Seventeen people serve on a board and are...Ch. 17.1 - Prob. 49PSCh. 17.1 - Prob. 50PSCh. 17.1 - Prob. 51PSCh. 17.1 - Prob. 52PSCh. 17.1 - Prob. 53PSCh. 17.1 - Suppose your college transcripts show the...Ch. 17.1 - Prob. 55PSCh. 17.1 - Prob. 56PSCh. 17.1 - Prob. 57PSCh. 17.1 - Prob. 58PSCh. 17.1 - Prob. 59PSCh. 17.1 - Prob. 60PSCh. 17.2 - Prob. 1PSCh. 17.2 - Prob. 2PSCh. 17.2 - Prob. 3PSCh. 17.2 - Prob. 4PSCh. 17.2 - Prob. 5PSCh. 17.2 - Prob. 6PSCh. 17.2 - Prob. 7PSCh. 17.2 - Prob. 8PSCh. 17.2 - Prob. 9PSCh. 17.2 - Prob. 10PSCh. 17.2 - Prob. 11PSCh. 17.2 - Prob. 12PSCh. 17.2 - An election with three candidates has the...Ch. 17.2 - Prob. 14PSCh. 17.2 - Consider the following voting situation:...Ch. 17.2 - Consider the following voting situation:...Ch. 17.2 - Prob. 17PSCh. 17.2 - The philosophy department is selecting a...Ch. 17.2 - The Adobe School District is hiring a vice...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - Prob. 22PSCh. 17.2 - Prob. 23PSCh. 17.2 - Prob. 24PSCh. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - Prob. 29PSCh. 17.2 - A focus group of 33 people for ABCTV were asked to...Ch. 17.2 - Prob. 31PSCh. 17.2 - Prob. 32PSCh. 17.2 - Prob. 33PSCh. 17.2 - Prob. 34PSCh. 17.2 - Prob. 35PSCh. 17.2 - Prob. 36PSCh. 17.2 - Prob. 37PSCh. 17.2 - Prob. 38PSCh. 17.2 - HISTORICAL QUEST In 1993 the 101st International...Ch. 17.2 - The U.S. president is elected with a vote of the...Ch. 17.2 - HISTORICAL QUEST Article 7 of the French...Ch. 17.2 - A group of fun-loving people have decided to play...Ch. 17.2 - A group of fun-loving people have decided to play...Ch. 17.2 - Prob. 44PSCh. 17.2 - Prob. 45PSCh. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - Prob. 49PSCh. 17.2 - Consider an election with three candidates with...Ch. 17.2 - Consider an election with four candidates with the...Ch. 17.2 - Prob. 52PSCh. 17.2 - Consider an election with four candidates with the...Ch. 17.2 - Prob. 54PSCh. 17.2 - Consider an election with three candidates with...Ch. 17.2 - Prob. 56PSCh. 17.2 - Prob. 57PSCh. 17.2 - Prob. 58PSCh. 17.2 - Prob. 59PSCh. 17.2 - The Game of WIN Construct a set of nonstandard...Ch. 17.3 - Prob. 1PSCh. 17.3 - Prob. 2PSCh. 17.3 - Prob. 3PSCh. 17.3 - IN YOUR OWN WORDS What is the quota rule? Does...Ch. 17.3 - Prob. 5PSCh. 17.3 - Prob. 6PSCh. 17.3 - Prob. 7PSCh. 17.3 - Prob. 8PSCh. 17.3 - Prob. 9PSCh. 17.3 - Prob. 10PSCh. 17.3 - Modified quotas are given in Problems 714. Round...Ch. 17.3 - Prob. 12PSCh. 17.3 - Prob. 13PSCh. 17.3 - Prob. 14PSCh. 17.3 - Find the standard divisor to two decimal places...Ch. 17.3 - Prob. 16PSCh. 17.3 - Prob. 17PSCh. 17.3 - Prob. 18PSCh. 17.3 - Prob. 19PSCh. 17.3 - Prob. 20PSCh. 17.3 - Prob. 21PSCh. 17.3 - Prob. 22PSCh. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - Consider the populations given in Problems 2932....Ch. 17.3 - Consider the populations given in Problems 2932....Ch. 17.3 - Consider the populations given in Problems 29-32....Ch. 17.3 - Consider the populations given in Problems 29-32....Ch. 17.3 - Consider the populations given in Problems 33-36....Ch. 17.3 - Consider the populations given in Problem. a.Find...Ch. 17.3 - Prob. 35PSCh. 17.3 - Prob. 36PSCh. 17.3 - Prob. 37PSCh. 17.3 - Prob. 38PSCh. 17.3 - Prob. 39PSCh. 17.3 - Prob. 40PSCh. 17.3 - Consider the following apportionment problem for...Ch. 17.3 - Prob. 42PSCh. 17.3 - Prob. 43PSCh. 17.3 - Consider the following apportionment problem for...Ch. 17.3 - Prob. 45PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 47PSCh. 17.3 - Prob. 48PSCh. 17.3 - Prob. 49PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 54PSCh. 17.3 - Prob. 55PSCh. 17.3 - Prob. 56PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 58PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.4 - Prob. 1PSCh. 17.4 - Prob. 2PSCh. 17.4 - Prob. 3PSCh. 17.4 - Prob. 4PSCh. 17.4 - Prob. 5PSCh. 17.4 - Prob. 6PSCh. 17.4 - Prob. 7PSCh. 17.4 - Prob. 8PSCh. 17.4 - Prob. 9PSCh. 17.4 - Prob. 10PSCh. 17.4 - Prob. 11PSCh. 17.4 - Prob. 12PSCh. 17.4 - Prob. 13PSCh. 17.4 - Prob. 14PSCh. 17.4 - Prob. 15PSCh. 17.4 - Prob. 16PSCh. 17.4 - Prob. 17PSCh. 17.4 - Prob. 18PSCh. 17.4 - Prob. 19PSCh. 17.4 - Prob. 20PSCh. 17.4 - Prob. 21PSCh. 17.4 - Prob. 22PSCh. 17.4 - Prob. 23PSCh. 17.4 - Prob. 24PSCh. 17.4 - Prob. 25PSCh. 17.4 - In Problems 2326, apportion the indicated number...Ch. 17.4 - Prob. 27PSCh. 17.4 - Prob. 28PSCh. 17.4 - Prob. 29PSCh. 17.4 - Prob. 30PSCh. 17.4 - Prob. 31PSCh. 17.4 - Prob. 32PSCh. 17.4 - Prob. 33PSCh. 17.4 - Prob. 34PSCh. 17.4 - Prob. 35PSCh. 17.4 - Prob. 36PSCh. 17.4 - Prob. 37PSCh. 17.4 - Prob. 38PSCh. 17.4 - Prob. 39PSCh. 17.4 - Prob. 40PSCh. 17.4 - Prob. 41PSCh. 17.4 - Prob. 42PSCh. 17.4 - Prob. 43PSCh. 17.4 - Prob. 44PSCh. 17.4 - Prob. 45PSCh. 17.4 - Prob. 46PSCh. 17.4 - Prob. 47PSCh. 17.4 - Prob. 48PSCh. 17.4 - Prob. 49PSCh. 17.4 - Prob. 50PSCh. 17.4 - Prob. 51PSCh. 17.4 - Prob. 52PSCh. 17.4 - Prob. 53PSCh. 17.4 - In problems 54-56, suppose the annual salaries of...Ch. 17.4 - In problems 54-56, suppose the annual salaries of...Ch. 17.4 - Prob. 56PSCh. 17.4 - Prob. 57PSCh. 17.4 - An elderly rancher died and left her estate to her...Ch. 17.4 - Prob. 59PSCh. 17.4 - Prob. 60PSCh. 17.CR - Prob. 1CRCh. 17.CR - Prob. 2CRCh. 17.CR - Prob. 3CRCh. 17.CR - Prob. 4CRCh. 17.CR - Prob. 5CRCh. 17.CR - Prob. 6CRCh. 17.CR - Prob. 7CRCh. 17.CR - Prob. 8CRCh. 17.CR - Prob. 9CRCh. 17.CR - Prob. 10CRCh. 17.CR - Prob. 11CRCh. 17.CR - Prob. 12CRCh. 17.CR - Chemistry is taught at five high schools in the...Ch. 17.CR - Prob. 14CRCh. 17.CR - Prob. 15CRCh. 17.CR - Prob. 16CRCh. 17.CR - Prob. 17CRCh. 17.CR - Prob. 18CRCh. 17.CR - Prob. 19CRCh. 17.CR - Prob. 20CR
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