Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
Author: Edgar Goodaire, Michael Parmenter
Publisher: PEARSON
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Chapter 4.1, Problem 1TFQ
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I just need to know why this is wrong below:
What is the test statistic W? W=5 (incorrect)
and
What is the p-value of this test? (p-value < 0.001-- incorrect)
Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages
pages
127
217
486
132
397
297
396
327
292
256
358
272
What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this? two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12
Alpha Level
0.001
0.005
0.01
0.025
0.05
0.1
0.2
Critical Value
75
70
68
64
60
56
50
What is the p-value for this test? p-value < 0.001
Find the area between the curves.
x= -2, x = 7, y=2x² +3, y=0
Set up the integral (or integrals) needed to compute this area. Use the smallest possible number
of integrals. Select the correct choice below and fill in the answer boxes to complete your choice.
A.
7
[[2x² +3] dx
-2
B.
[[ ] dx+
-2
7
S [ ] dx
The area between the curves is
(Simplify your answer.)
The rate at which a substance grows is given by R'(x) = 105e0.3x, where x is the time (in days).
What is the total accumulated growth during the first 2.5 days?
Set up the definite integral that determines the accumulated growth during the first 2.5 days.
2.5
Growth = (105e0.3x) dx
0
(Type exact answers in terms of e.)
Evaluate the definite integral.
Growth=
(Do not round until the final answer. Then round to one decimal place as needed.)
Chapter 4 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 4.1 - 227Ch. 4.1 - The Well-Ordering Principle states that any...Ch. 4.1 - Prob. 3TFQCh. 4.1 - Prob. 4TFQCh. 4.1 - Prob. 5TFQCh. 4.1 - Prob. 6TFQCh. 4.1 - Prob. 7TFQCh. 4.1 - Prob. 8TFQCh. 4.1 - Prob. 9TFQCh. 4.1 - Prob. 10TFQ
Ch. 4.1 - Prob. 1ECh. 4.1 - 2. True or false? If false, give a counterexample....Ch. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - 9. Suppose is a natural number and is the...Ch. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.2 - True/False Questions
Given two consecutive...Ch. 4.2 - Prob. 2TFQCh. 4.2 - Prob. 3TFQCh. 4.2 - Prob. 4TFQCh. 4.2 - Prob. 5TFQCh. 4.2 - Prob. 6TFQCh. 4.2 - Prob. 7TFQCh. 4.2 - Prob. 8TFQCh. 4.2 - Prob. 9TFQCh. 4.2 - Prob. 10TFQCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Draw the Hasse diagrams for each of the following...Ch. 4.2 - List all minimal, minimum, maximal, and maximum...Ch. 4.2 - Let n be a natural number. Given n consecutive...Ch. 4.2 - Prove that n22(n an integer) is never divisible by...Ch. 4.2 - Given that a and x are integers, a1, a|(11x+3),...Ch. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - If a and b are relatively prime integers, prove...Ch. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - 17. (a) Find a pair of integers and such that ....Ch. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - If aN, prove that...Ch. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Establish formula (2) of this section by proving...Ch. 4.2 - Prob. 32ECh. 4.2 - Suppose a,b,c are nonzero integers. Show that...Ch. 4.2 - 34. Suppose that and are partial orders.
(a)...Ch. 4.2 - Prob. 35ECh. 4.2 - Let g be the greatest common divisor of integers m...Ch. 4.3 - 127 is a prime number.Ch. 4.3 - Prob. 2TFQCh. 4.3 - Prob. 3TFQCh. 4.3 - Prob. 4TFQCh. 4.3 - Prob. 5TFQCh. 4.3 - Prob. 6TFQCh. 4.3 - Prob. 7TFQCh. 4.3 - Prob. 8TFQCh. 4.3 - Prob. 9TFQCh. 4.3 - Prob. 10TFQCh. 4.3 - Determine whether each of the following integers...Ch. 4.3 - Prob. 2ECh. 4.3 - Suppose p is the smallest prime factor of an...Ch. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Estimate the number of primes less than 5000, less...Ch. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - 18. (a) Is prime? Explain your answer.
(b) Is...Ch. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - 21. Show that the sum of two consecutive primes is...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Let p1p2.......pn+1 denote the first n+1 primes...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Let a and b be natural numbers. Find the prime...Ch. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - 33. Show that there are infinitely many triples of...Ch. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - 36. Let denote the set of positive rational...Ch. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.4 - A 2003 country music hit by Alan Jackson and Jimmy...Ch. 4.4 - Prob. 2TFQCh. 4.4 - Prob. 3TFQCh. 4.4 - 4.
Ch. 4.4 - Prob. 5TFQCh. 4.4 - There are 72 congruence classes of integers mod...Ch. 4.4 - Prob. 7TFQCh. 4.4 - Prob. 8TFQCh. 4.4 - Prob. 9TFQCh. 4.4 - Prob. 10TFQCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - 4. True or False? Give a reason for each answer....Ch. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Find all integers x, 0xn, satisfying each of the...Ch. 4.4 - 10. (a) Given integers and a prime , suppose ....Ch. 4.4 - 11. Find all integers and, , that satisfy each of...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Find all integers x, 0xn, that satisfy each of the...Ch. 4.4 - Find all integers x,0xn, that satisfy each of the...Ch. 4.4 - Find all integers x,0xn, that satisfy each of the...Ch. 4.4 - In each case, find the inverse of a(modn) and use...Ch. 4.4 - In each of the following the given integer p is a...Ch. 4.4 - 23. Show that has no solutions.
Ch. 4.4 - 24. Let A be the set of congruence classes of...Ch. 4.5 - Prob. 1TFQCh. 4.5 - Prob. 2TFQCh. 4.5 - Prob. 3TFQCh. 4.5 - Prob. 4TFQCh. 4.5 - Prob. 5TFQCh. 4.5 - Prob. 6TFQCh. 4.5 - Prob. 7TFQCh. 4.5 - Prob. 8TFQCh. 4.5 - Prob. 9TFQCh. 4.5 - Prob. 10TFQCh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - 18. In each case, find the smallest nonnegative...Ch. 4.5 - For each of the following, find the smallest...Ch. 4.5 - Prob. 20ECh. 4.5 - In each of the following cases, find a positive...Ch. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - 25. Suppose. Decode each of the following encoded...Ch. 4 - Find the quotient and remainder when...Ch. 4 - Convert (1100101)2 to base 10. Convert 32,145 to...Ch. 4 - Prob. 3RECh. 4 - An integer n, which has exactly eight factors, is...Ch. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Illustrate the Euclidean algorithm by showing that...Ch. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - 13. Suppose. Show that is not the sum of three...Ch. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - 18. What is the last digit of ? [Hint: You want...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Compute 380(mod7). Find all integers x such that...Ch. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Find the smallest positive integer x that...
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