Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Chapter 1, Problem 62E
Alternative version of the Borda count. The following simple variation of the conventional Borda count method is sometimes used: last place is worth 0 points, second to last is worth 1 point, ..., first place is worth
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Q2/ Determine the size of square footing to carry net allowable load of 400 kN. FS-3.
Use Terzaghi equation assuming general shear failure.
400KN
1 m
+= 35"
C=0.0
Ya = 18.15 kN/m³
+=25"
C=50 kN/m²
Ya 20 kN/m³
4
x+3
and g(x)=x2-9
4X-10
2X
--13) The domain of rational expression
A) 1R. {-2,-8}
AB
-14) Let f(x) =
B) 1R. {2,-4,-8}
4X-12
x² +6x-16
X3+7X²+12X
?
C) 1R \ {-4,-3,0}
then f(x) + g(x) is equal ro
D) IR
2
A)
B)
c)
D)
x²-9
x2-9
x²-9
x+4
DB
5x-4
A
B
If
+
then the value of B is equal to
X+1
A) 4 B) 2
C) 5 D) 3
4X
4x+4
С.В....
x2+5X+6
x2
(x-2)(x+1) X-2
AC 16 The solution set of the equation
A){4}
B) {-3} C){ 1}
17 The solution set of the equation
A) (-3,-2) B) [-3,0) C)[-3,-2] D). [-2,0)
BA
-18) Which one of the following is proper fraction?
2x+4 ≤0
入×1
x+2x+4
(x+1)(x+2)
2x+4x+2
=
4
X+1
is equal to
D). {-5}
≤0
A)
x6 +4
2x+12
2X
x +4
B)
c)
x2-9
AL
2x+12
D)
x+4
14) let g(x) = [x-3],then g(-2) is equal to
A) -5 B)-6
C)-3 D) 3
Part III work out (show every step cleary) (2pt)
20.
E9) Find the solution set of the equation
2x+4
x+1
≤0
P(x)
(a)
P(x) =≤0
2x+4 50
x+1
x+1≤ 2x+4
(x-1)(x-2)
x= 1 or x=2
solution is {1.2}
x-1=0 of x-2=0
x = 1 or
= 2
Please show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy.
1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following:
a. The odds in favour of a game going into overtime.
b. The odds in favour of a game not going into overtime.
c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?
Chapter 1 Solutions
Excursions in Modern Mathematics (9th Edition)
Ch. 1 - Figure 1-8 shows the preference ballots for an...Ch. 1 - Figure 1-9 shows the preference ballots for an...Ch. 1 - An election is held to choose the Chair of the...Ch. 1 - The student body at Eureka High School is having...Ch. 1 - An election is held using the printed-names format...Ch. 1 - Prob. 6ECh. 1 - Prob. 7ECh. 1 - Table 1-30 shows a conventional preference...Ch. 1 - The Demublican Party is holding its annual...Ch. 1 - The Epicurean Society is holding its annual...
Ch. 1 - Table 1-31 shows the preference schedule for an...Ch. 1 - Table 1-32 shows the preference schedule for an...Ch. 1 - Table 1-33 shows the preference schedule for an...Ch. 1 - Table 1-34 shows the preference schedule for an...Ch. 1 - Table 1-35 shows the preference schedule for an...Ch. 1 - Table1-36 shows the preference schedule for an...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-31see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 Number of voters 6 6 5 4 3 3 1st A B B...Ch. 1 - Table 1-35 Percent of voters 24 23 19 14 11 9 1st...Ch. 1 - Table 1-36 Percent of voters 25 21 15 12 10 9 8...Ch. 1 - The Heisman Award. Table 1-37 shows the results...Ch. 1 - The 2014 AL Cy Young Award. Table 1-38 shows the...Ch. 1 - An election was held using the conventional Borda...Ch. 1 - Imagine that in the voting for the American League...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table1-33 Number of voters 6 5 4 2 2 2 2 1st C A B...Ch. 1 - Table 1-34 See Exercise 14 shows the preference...Ch. 1 - Table1-39_ shows the preference schedule for an...Ch. 1 - Table1-40_ shows the preference schedule for an...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 See Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 see Exercise 14 shows the preference...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Table 1-39 see Exercise 35 shows the preference...Ch. 1 - Table1-40 see Exercise36 shows the preference...Ch. 1 - An election with five candidates A, B. C, D, and E...Ch. 1 - An election with six candidates A, B, C, D, E, and...Ch. 1 - Use Table 1-41 to illustrate why the Borda count...Ch. 1 - Use Table 1-32 to illustrate why the...Ch. 1 - Use Table 1-42 to illustrate why the plurality...Ch. 1 - Use the Math Club election Example 1.10 to...Ch. 1 - Use Table 1-43 to illustrate why the...Ch. 1 - Explain why the method of pair wise comparisons...Ch. 1 - Prob. 57ECh. 1 - Explain why the plurality method satisfies the...Ch. 1 - Explain why the Borda count method satisfies the...Ch. 1 - Explain why the method of pairwise comparisons...Ch. 1 - Two-candidate elections. Explain why when there...Ch. 1 - Alternative version of the Borda count. The...Ch. 1 - Reverse Borda count. Another commonly used...Ch. 1 - The average ranking. The average ranking of a...Ch. 1 - The 2006 Associated Press college football poll....Ch. 1 - The Pareto criterion. The following fairness...Ch. 1 - The 2003-2004 NBA Rookie of the Year vote. Each...Ch. 1 - Top-two IRV is a variation of the...Ch. 1 - The Coombs method. This method is just like the...Ch. 1 - Bucklin voting. This method was used in the early...Ch. 1 - The 2016 NBA MVP vote. The National Basketball...Ch. 1 - The Condorcet loser criterion. If there is a...Ch. 1 - Consider the following fairness criterion: If a...Ch. 1 - Suppose that the following was proposed as a...Ch. 1 - Consider a modified Borda count where a...
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