Discrete Mathematics
5th Edition
ISBN: 9780134689562
Author: Dossey, John A.
Publisher: Pearson,
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Chapter 3, Problem 4CP
To determine
To write: An algorithm to compute the remainder when
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Please help me answer question b and c for this problem.A student project involved collecting data to see if there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants, A and B. She randomly selected 30 cars at fast food restaurant A and 30 cars at fast food restaurant B. For each car chosen, she recorded how much time passed from the placement of the order to receiving their food at the pick-up window. The data is given in the table below measured in Seconds. Use α=0.05.CSV…
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A long-distance runner wants to compare the durability of two running shoe brands: Brand A and Brand B. Instead of testing them separately, 15 runners simultaneously wear Brand A on the left
foot and Brand B on the right foot during training runs.
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Test whether Brand A running shoes have a significantly shorter lifespan than Brand B when worn under the same conditions by the same runner.
CSV:
"","A","B"
"A",197,193
"B",230,229
"C",179,180
"D",206,205
"E",182,180
"F",141,142
"G",207,207
"H",116,112
"I",78,79
"J",0,0
"K",213,212
"L",86,83
"M",181,181
"N",85,79
"O",73,71
The…
6) A farmer has 60 acres on which to plant oats or corn. Each acre of oats requires 100 lbs of fertilizer and 1 hour
of labor. Each acre of corn requires 50 lbs of fertilizer and 2 hours of labor. The farmer has 5000 lbs of
fertilizer and 100 hours available for labor. If the profit is $60 from each acre of oats and $100 from each acre
of corn, what planting combination will produce the greatest total profit?
a) Fill in the following chart to help organize the information given in the problem:
Oats
Labor
Fertilizer
Land
Profit
b) Write down the question of interest.
Corn
Available
c) Define variables to answer the question of interest. Call these x and y.
d) Write the objective function to answer the question of interest.
e) List any constraints given in the problem.
Chapter 3 Solutions
Discrete Mathematics
Ch. 3.1 - In Exercises 1–8, find the quotient and remainder...Ch. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - In Exercises 1–8, find the quotient and remainder...Ch. 3.1 - In Exercises 1–8, find the quotient and remainder...Ch. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - In Exercises 9–16, determine whether p ≡ q (mod...Ch. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - In Exercises 17–36, perform the indicated...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - In Exercises 17–36, perform the indicated...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - In Exercises 17–36, perform the indicated...Ch. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - A hospital heart monitoring device uses two feet...Ch. 3.1 - Prob. 39ECh. 3.1 - Use Example 3.2 to determine the correct check...Ch. 3.1 - Prob. 41ECh. 3.1 - Federal Express packages carry a 10-digit...Ch. 3.1 - Prob. 43ECh. 3.1 - Use the formula in Example 3.7 to determine all...Ch. 3.1 - Let A denote the equivalence class containing 4 in...Ch. 3.1 - Prob. 46ECh. 3.1 - Let R be the equivalence relation defined in...Ch. 3.1 - Show that there exist integers m, x, and y such...Ch. 3.1 - Prob. 49ECh. 3.1 - A project has the nine tasks T1, T2, T3, T4, T5,...Ch. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.2 - List, in increasing order, the divisors of 45
Ch. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - List, in increasing order, the common divisors of...Ch. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - In Exercises 5–10, make a table such as the one...Ch. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - In Exercises 13–18, make a table such as the one...Ch. 3.2 - Prob. 19ECh. 3.2 - In Exercises 19–22, use the Euclidean algorithm to...Ch. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - In Exercises 23–26, use the extended Euclidean...Ch. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.3 - Prob. 1ECh. 3.3 - In Exercises 1–4, change the given plaintext...Ch. 3.3 - Prob. 3ECh. 3.3 - In Exercises 1–4, change the given plaintext...Ch. 3.3 - Prob. 5ECh. 3.3 - In Exercises 5–10, apply the modular...Ch. 3.3 - Prob. 7ECh. 3.3 - In Exercises 5–10, apply the modular...Ch. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - In Exercises 11–14, find b corresponding to the...Ch. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - In Exercises 15–22, use the extended Euclidean...Ch. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Suppose n = 93, E = 17, and the ciphertext message...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.4 - In Exercises 1–8, determine the parity check digit...Ch. 3.4 - In Exercises 1–8, determine the parity check digit...Ch. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - In Exercises 1–8, determine the parity check digit...Ch. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - In Exercises 9–16, use formula (3.1) to determine...Ch. 3.4 - Prob. 13ECh. 3.4 - In Exercises 9–16, use formula (3.1) to determine...Ch. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - In Exercises 17–24, determine the Hamming distance...Ch. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - In Exercises 25–32, add the given codewords using...Ch. 3.4 - In Exercises 33–36, suppose that the minimal...Ch. 3.4 - In Exercises 33–36, suppose that the minimal...Ch. 3.4 - In Exercises 33–36, suppose that the minimal...Ch. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 41ECh. 3.5 - Prob. 1ECh. 3.5 - In Exercises 1–4, determine the number of words in...Ch. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - In Exercises 5–8, suppose that the generator...Ch. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - In Exercises 9–12, determine the size of the check...Ch. 3.5 - In Exercises 9–12, determine the size of the check...Ch. 3.5 - If the check matrix of a matrix code is a 9 × 3...Ch. 3.5 - If the check matrix of a matrix code is an 11 × 4...Ch. 3.5 - Prob. 15ECh. 3.5 - In Exercises 15–20, determine all the codewords...Ch. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - In Exercises 21–28, determine the check matrix...Ch. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Exercises 29 and 30, the check matrix A* for a...Ch. 3.5 - Prob. 31ECh. 3.5 - In Exercises 31–38, use Theorem 3.8(b) to...Ch. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Consider the (3, 7)-code with generator...Ch. 3.5 - Prob. 41ECh. 3.5 - Find the generator matrix of the code that encodes...Ch. 3.5 - Prob. 43ECh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - In Exercises 1–8, determine the syndrome of each...Ch. 3.6 - In Exercises 1–8, determine the syndrome of each...Ch. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - In Exercises 9–28, the given word was received...Ch. 3.6 - Prob. 21ECh. 3.6 - In Exercises 9–28, the given word was received...Ch. 3.6 - In Exercises 9–28, the given word was received...Ch. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - In Exercises 29 and 30, a check matrix and a list...Ch. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - In Exercises 31–34, determine the minimal value of...Ch. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - In Exercises 35–38, determine the smallest values...Ch. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prove by mathematical induction that r2 + 1 ≤ 2r...Ch. 3 - Prob. 1SECh. 3 - Prob. 2SECh. 3 - Determine whether each statement in Exercises 1–4...Ch. 3 - Prob. 4SECh. 3 - Prob. 5SECh. 3 - Prob. 6SECh. 3 - Prob. 7SECh. 3 - Prob. 8SECh. 3 - Prob. 9SECh. 3 - Prob. 10SECh. 3 - Prob. 11SECh. 3 - Prob. 12SECh. 3 - Prob. 13SECh. 3 - Prob. 14SECh. 3 - Prob. 15SECh. 3 - Prob. 16SECh. 3 - Prob. 17SECh. 3 - Prob. 18SECh. 3 - Prob. 19SECh. 3 - Prob. 20SECh. 3 - Prob. 21SECh. 3 - Prob. 22SECh. 3 - Prob. 23SECh. 3 - Prob. 24SECh. 3 - Prob. 25SECh. 3 - Prob. 26SECh. 3 - Prob. 27SECh. 3 - Prob. 28SECh. 3 - Prob. 29SECh. 3 - Prob. 30SECh. 3 - Prob. 31SECh. 3 - Prob. 32SECh. 3 - Prob. 33SECh. 3 - Prob. 34SECh. 3 - Prob. 35SECh. 3 - Prob. 36SECh. 3 - Prob. 37SECh. 3 - Prob. 38SECh. 3 - Prob. 39SECh. 3 - Prob. 40SECh. 3 - Prob. 41SECh. 3 - Prob. 42SECh. 3 - Prob. 43SECh. 3 - Prob. 44SECh. 3 - Prob. 45SECh. 3 - Prob. 46SECh. 3 - Prob. 47SECh. 3 - Prob. 48SECh. 3 - Prob. 49SECh. 3 - Prob. 50SECh. 3 - Prob. 51SECh. 3 - Prob. 52SECh. 3 - Prob. 53SECh. 3 - Prob. 54SECh. 3 - Prob. 55SECh. 3 - Prob. 56SECh. 3 - Prob. 57SECh. 3 - Prob. 58SECh. 3 - Prob. 59SECh. 3 - Prob. 60SECh. 3 - Prob. 62SECh. 3 - Prob. 63SECh. 3 - Prob. 64SECh. 3 - Prob. 65SECh. 3 - Prob. 66SECh. 3 - Prob. 67SECh. 3 - Prob. 68SECh. 3 - Prob. 69SECh. 3 - Prob. 70SECh. 3 - Prob. 71SECh. 3 - Prob. 72SECh. 3 - Prob. 73SECh. 3 - Prob. 2CPCh. 3 - Prob. 3CPCh. 3 - Prob. 4CPCh. 3 - Prob. 5CPCh. 3 - Prob. 6CPCh. 3 - Prob. 7CP
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