Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Chapter P, Problem 42PS
To determine
(a)
To find:
The winner by the plurality vote.
To determine
(b)
To find:
The winner by the Borda count.
To determine
(c)
To find:
The strategy exists for voters in 24% column.
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2. Five candidates, Ruben, Bong, Angel, Louie and Melvin were nominated for president in the College
Student Council. After the polls close, ranked ballots were tallied, and the results are summarized
below. Determine the winner and what percent of the votes did the winner receive?
Rankings
Ruben
1
5
3
4
Bong
2
3
4
5
Angel
4
4
1
1
1
3
Louie
3
1
3
3
4
Melvin
5
4
1
4
1
Number of votes
10
7
12
16
11
4
10
MM
A large group of college students was surveyed and the following information was obtained:
712 saw Lady Gaga
624 saw Arcade Fire
381 saw Skrillex
111 saw all three
513 saw none
240 saw only Lady Gaga
377 saw Lady Gaga and Arcade Fire
117 saw Arcade Fire and Skrillex but not Lady Gaga.
What percentage saw at least one of the artists?
What percentage saw exactly one of the artists?
Union shop steward B. Lou Khollar has drafted a set of wage and benefit demands to be presented to management. To get an idea of worker support for the package he randomly polls two largest groups of workers at his plant, machinists (M) and the inspectors (I). He polls 30 of each group with the following results?
Opinion package
Machnist
Inspector
Strongly support
9
10
Mildly support
11
3
Undecided
2
2
Mildly oppose
4
8
Strongly oppose
4
7
Total
30
30
What is the probability that a machinist randomly selected from the polled group mildly supports the package?
What is the probability that an inspector randomly selected from the polled group is undecided about the package?
What is the probability (M or I) randomly selected from the polled group strongly or mildly supports the package?
What types of probability estimates are these?
Chapter P Solutions
Nature of Mathematics (MindTap Course List)
Ch. P - IN YOUR OWN WORDS The prologue provides a...Ch. P - IN YOUR OWN WORDS The epilogue for this text...Ch. P - HISTORICAL QUEST What are the five chronological...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - IN YOUR OWN WORDS This prologue has 60 problems as...Ch. P - IN YOUR OWN WORDS Problems 11-60 are included to...
Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - How many people must be in a room to be sure that...Ch. P - In mathematics, is is important to read the...Ch. P - If a year had two consecutive months with a Friday...Ch. P - On Saturday evenings, a favourite pastime of the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - If the population of the world on October 12,2002,...Ch. P - Prob. 20PSCh. P - In mathematics, is is important to read the...Ch. P - Prob. 22PSCh. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - If a group of 50 persons consists of 20 males, 12...Ch. P - In mathematics, is is important to read the...Ch. P - Prob. 30PSCh. P - What is the 1,000th positive integer that is not...Ch. P - In mathematics, is is important to read the...Ch. P - How many trees must be cut to make a trillion...Ch. P - Prob. 34PSCh. P - Critique the statement given in the news clip.Ch. P - In mathematics, is is important to read the...Ch. P - Prob. 37PSCh. P - The map shows the percent of children ages 19-35...Ch. P - Prob. 39PSCh. P - Find limn(1+1n)n.Ch. P - Prob. 41PSCh. P - Prob. 42PSCh. P - Suppose the percentage of alcohol in the blood t...Ch. P - Prob. 44PSCh. P - A map of small village is shown in Figure 8. To...Ch. P - A hospital wishes to provide for its patients a...Ch. P - Prob. 47PSCh. P - Find the smallest number of operations needed to...Ch. P - If log2x+log4x=logbx, what is b?Ch. P - Supply the missing number in the following...Ch. P - Prob. 51PSCh. P - Answer the question asked in the news clip from...Ch. P - Five cards are drawn at random from a pack of...Ch. P - What is the sum of the counting numbers from 1 to...Ch. P - The Kabbalah is a body of mystical teaching from...Ch. P - What is the maximum number of points of...Ch. P - The equation P=153,000e0.05t represents the...Ch. P - The Egyptians had an interesting, pictorial...Ch. P - If you start with 1 and double the amount received...Ch. P - Consider two experiments and events defined as...
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- In an election with three candidates, A, B, and C, the voters have the following preferences: 12% approve of A only. 19% approve of A (first choice) but also approve of B. 17% approve of B (first choice) but also approve of A. 25% approve of C (first choice) but also approve of A. 27% approve of C (first choice) but also approve of B. a. Which candidate wins an approval vote? b. Fairness Criterion 1 states, “If a candidate receives a majority of the first-place votes, that candidate should be the winner.” Is this criterion satisfied in this election? Explain.arrow_forwardA professional organization for lion tamers does an approval election for their president. The X below indicates approval. Percentage of Voters 15 3 16 28 31 7 Graves X X X Tuttle X X X Jones X X A) Which person wins the approval election? (Show vote totals) In any Approval election, what effect does a voter who approves of all the candidates have on the outcome of the election? B)arrow_forwardThe following data represent the responses to two questions asked in a survey of 40 college students majoring in business: What is your gender? 1M = male; F = female2 and What is your major? (A = Accounting; S = Statistics; M = Marketing): Q1. Tally the data into a contingency table where the two rows represent the gender categories and the three columns represent the academic major categories. Q2. Construct contingency tables based on percentages of all 40 student responses, based on row percentages and based on column percentages.arrow_forward
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