Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134434681
Author: Tom Pirnot
Publisher: PEARSON
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Chapter 11.1, Problem 36E
To determine
To calculate:
The total number of points that all candidates can earn in an election using the pairwise comparison method if there are five candidates.
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PRACTICE ANOTHER
A computer repair shop has two work centers. The first center examines the computer to see what is wrong, and the second center repairs the computer. Let x₁ and x2 be
random variables representing the lengths of time in minutes to examine a computer (✗₁) and to repair a computer (x2). Assume x and x, are independent random variables.
Long-term history has shown the following times.
01
Examine computer, x₁₁ = 29.6 minutes; σ₁ = 8.1 minutes
Repair computer, X2: μ₂ = 92.5 minutes; σ2 = 14.5 minutes
(a) Let W = x₁ + x2 be a random variable representing the total time to examine and repair the computer. Compute the mean, variance, and standard deviation of W.
(Round your answers…
Answer this two questions:
2 . We roll seven 20-sided dice, numbered 1 to 20. Show that it is always possible to find two disjoint nonempty subsets of the dice such that the sums of the shown faces of the dice in each of the subsets coincide(only one of the faces is considered to be shown) .
4. We are given a deck of 60 cards, 40 are identical black cards, 10 are identical red cards, and 10 are identical greenc ards. How may ways are there to deal the 60 cards to three distinct players so that everyone gets exactly 20 cards?
The acidity or alkalinity of a solution is measured using pH. A pH less than 7 is acidic; a pH greater than 7 is alkaline. The accompanying data represent the pH in samples of bottled water and tap
water. Complete parts (a) and (b).
Click the icon to view the data table.
(a) Determine the mean, median, and mode pH for each type of water. Comment on the differences between the two water types.
Select the correct choice below and fill in any answer boxes in your choice.
A. For tap water, the mean pH is
(Round to three decimal places as needed.)
B. The mean does not exist.
Data table
Тар
Bottled
7.64 7.45 7.46 7.50 7.68
7.45 7.10 7.56 7.46 7.52
5.15 5.09 5.31 5.20 4.78
5.52 5.31 5.13 5.31 5.21
7.69
7.46
5.23
5.24
Print
Done
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☑
Chapter 11 Solutions
Mathematics All Around (6th Edition)
Ch. 11.1 - Four candidates running for a vacant seat on the...Ch. 11.1 - Five candidates running for mayor receive votes as...Ch. 11.1 - The university administration has asked a group of...Ch. 11.1 - The university administration has asked a group of...Ch. 11.1 - The university administration has asked a group of...Ch. 11.1 - The university administration has asked a group of...Ch. 11.1 - The drama society members are voting for the type...Ch. 11.1 - The drama society members are voting for the type...Ch. 11.1 - The drama society members are voting for the type...Ch. 11.1 - The drama society members are voting for the type...
Ch. 11.1 - Before a conference on Trends in the next Decade,...Ch. 11.1 - Before a conference on Trends in the next Decade,...Ch. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - A small employee-owned Internet company is voting...Ch. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - A small employee-owned Internet company is voting...Ch. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - In Exercises 23-26, refer to the preference table...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 23-26, refer to the preference table...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 27-30, refer to the preference table...Ch. 11.1 - In Exercises 27-30, refer to the preference table...Ch. 11.1 - In Exercises 27-30, refer to the preference table...Ch. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Math in Your Life: Between the Numbers Instant...Ch. 11.1 - In approval voting, a person can vote for more...Ch. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.2 - Some of these exercises have no fixed solution...Ch. 11.2 - Some of these exercises have no fixed solution...Ch. 11.2 - Determining the legal drinking age. A state...Ch. 11.2 - Voting for the president of a club. A chapter of...Ch. 11.2 - Choosing a location for a research facility. Teach...Ch. 11.2 - Locating a new factory. The Land Mover Tractor...Ch. 11.2 - Reducing a budget. Due to a decrease in state...Ch. 11.2 - Voting on an award for best restaurant. A group of...Ch. 11.2 - Use the following preference table for Exercises 9...Ch. 11.2 - Use the following preference table for Exercises 9...Ch. 11.2 - Complete the preference table so that the Borda...Ch. 11.2 - Complete the preference table so that A is the...Ch. 11.2 - Prob. 13ECh. 11.2 - Make a preference table similar to the one given...Ch. 11.2 - Complete the preference table so that the...Ch. 11.2 - Does the plurality method satisfy the majority...Ch. 11.2 - Does the plurality-with-elimination method satisfy...Ch. 11.2 - Prob. 18ECh. 11.2 - Presidential election. One of the several...Ch. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - A run off election. Repeat Exercise 21 using this...Ch. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Voters are choosing among five options. Make a...Ch. 11.2 - Make a preference table, similar to the one given...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - One of the voting methods we have been discussing...Ch. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - In Exercises 1-12, the weight represent voters A,...Ch. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - In Exercises 1-12, the weight represent voters A,...Ch. 11.3 - In Exercises 1-12, the weight represent voters A,...Ch. 11.3 - In Exercises 1-12, the weight represent voters A,...Ch. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - In Exercises 13-16, write out all winning...Ch. 11.3 - Prob. 14ECh. 11.3 - In Exercises 13-16, write out all winning...Ch. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - In Exercises 29-34, determine the Banzhaf power...Ch. 11.3 - Prob. 34ECh. 11.3 - The system [3:1,1,1,1,1] is an example of a one...Ch. 11.3 - Prob. 36ECh. 11.3 - Consider the system [14:15,2,3,3,5] in which A is...Ch. 11.3 - Prob. 38ECh. 11.3 - Calculating power in the electoral college. After...Ch. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - In Example 5, we analyzed the voting power of the...Ch. 11.3 - In Example 5, we analyzed the voting power of the...Ch. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - A dummy in a weighted voting system is a voter...Ch. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - In Exercises 55 and 56, devise a voting system...Ch. 11.3 - Prob. 56ECh. 11.4 - In Exercises 1 4, use tree diagrams to find all...Ch. 11.4 - Prob. 2ECh. 11.4 - In Exercises 1 4, use tree diagrams to find all...Ch. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - In Exercises 1116, determine the Shapley-Shubik...Ch. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - The system [3:1,1,1,1,1] is an example of a one...Ch. 11.4 - Measuring power on a jury. We can consider a...Ch. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Measuring power on a theater guild. The Theater...Ch. 11.4 - Measuring power on a state committee. The college...Ch. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - A new social media company, Chirp, has an...Ch. 11.4 - Prob. 27ECh. 11.4 - Measuring power among states. Repeat Exercise 27...Ch. 11.4 - Explain the difference between the Banzhaf index...Ch. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.CR - Prob. 1CRCh. 11.CR - Prob. 2CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - Prob. 6CRCh. 11.CR - Prob. 7CRCh. 11.CR - Prob. 8CRCh. 11.CR - Prob. 9CRCh. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CT - Prob. 1CTCh. 11.CT - Prob. 2CTCh. 11.CT - Prob. 3CTCh. 11.CT - Prob. 4CTCh. 11.CT - Prob. 5CTCh. 11.CT - Prob. 6CTCh. 11.CT - Prob. 7CTCh. 11.CT - Prob. 8CTCh. 11.CT - Prob. 9CTCh. 11.CT - Determine the Banzhaf power index for each voter...Ch. 11.CT - Prob. 11CTCh. 11.CT - Prob. 12CTCh. 11.CT - Prob. 13CTCh. 11.CT - Prob. 14CTCh. 11.CT - Prob. 15CTCh. 11.CT - Prob. 16CT
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