Contemporary Abstract Algebra
9th Edition
ISBN: 9781305657960
Author: Joseph Gallian
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 0, Problem 41E
Suppose that in one of the noncheck positions of a money order number, the digit 0 is substituted for the digit 9 or vice versa. Prove that this error will not be detected by the check digit. Prove that all other errors involving a single position are detected.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A realtor uses a lockbox to store the keys to a house that is for sale. The access code for the lockbox consists of four digits. The firs
digit cannot be 4 and the last digit must be odd. How many different codes are available?
(Type an integer or decimal rounded to three decimal places as needed.)
For example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Student ID s12042516 as the case, the 4th digital is “4”, the 5th digital is 2, the 6th digital is 5.
With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning.
I) Interpret the result and provide insightful remarks.
For example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Take student id S12042516 as an example.
With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning.
i ) Suggest the test that should be used and explain your reason.
State the independent and dependent variables, underlying null and alternative hypotheses.
Chapter 0 Solutions
Contemporary Abstract Algebra
Ch. 0 - For n=5 , 8, 12, 20, and 25, find all positive...Ch. 0 - Determine a. gcd(2,10) lcm(2,10) b. gcd(20,8)...Ch. 0 - Determine 51 mod 13, 342 mod 85, 62 mod 15, 10 mod...Ch. 0 - Find integers s and t such that 1=7s+11t ? t. Show...Ch. 0 - Show that if a and b are positive integers, then...Ch. 0 - Suppose a and b are integers that divide the...Ch. 0 - If a and b are integers and n is a positive...Ch. 0 - Let d=gcd(a,b) . If a=da and b=db , show that...Ch. 0 - Let n be a fixed positive integer greater than 1....Ch. 0 - Let a and b be positive integers and let...
Ch. 0 - Let n and a be positive integers and let...Ch. 0 - Show that 5n+3and7n+4 are relatively prime for all...Ch. 0 - Suppose that m and n are relatively prime and r is...Ch. 0 - Let p, q, and r be primes other than 3. Show that...Ch. 0 - Prove that every prime greater than 3 can be...Ch. 0 - Determine 71000 mod 6 and 61001 mod 7.Ch. 0 - Let a, b, s, and t be integers. If a mod...Ch. 0 - Determine 8402 mod 5.Ch. 0 - Show that gcd(a,bc)=1 if and only if gcd(a,b)=1...Ch. 0 - Let p1,p2,...,pn be primes. Show that p1p2pn+1 is...Ch. 0 - Prove that there are infinitely many primes....Ch. 0 - Prob. 22ECh. 0 - Prob. 23ECh. 0 - For any complex numbers z1andz2 prove that...Ch. 0 - Give an “if and only if” statement that describes...Ch. 0 - For inputs of 0 and 1 and mod 2 arithmetic...Ch. 0 - For every positive integer n, prove that a set...Ch. 0 - Prove that 2n32n1 is always divisible by 17.Ch. 0 - Prove that there is some positive integer n such...Ch. 0 - (Generalized Euclid’s Lemma) If p is a prime and p...Ch. 0 - Prob. 31ECh. 0 - What is the largest bet that cannot be made with...Ch. 0 - Prove that the First Principle of Mathematical...Ch. 0 - The Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13,...Ch. 0 - Prove by induction on n that for all positive...Ch. 0 - Suppose that there is a statement involving a...Ch. 0 - In the cut “As” from Songs in the Key of Life,...Ch. 0 - Prove that for every integer n, n3 mod 6=n mod 6.Ch. 0 - If it is 2:00 A.M. now, what time will it be 3736...Ch. 0 - Determine the check digit for a money order with...Ch. 0 - Suppose that in one of the noncheck positions of a...Ch. 0 - Suppose that a money order identification number...Ch. 0 - A transposition error involving distinct adjacent...Ch. 0 - Determine the check digit for the Avis rental car...Ch. 0 - Show that a substitution of a digit ai for the...Ch. 0 - Determine which transposition errors involving...Ch. 0 - Use the UPC scheme to determine the check digit...Ch. 0 - Explain why the check digit for a money order for...Ch. 0 - The 10-digit International Standard Book Number...Ch. 0 - Suppose that an ISBN-10 has a smudged entry where...Ch. 0 - Suppose three consecutive digits abc of an ISBN-10...Ch. 0 - Prob. 52ECh. 0 - Suppose the weighting vector for ISBN-10s were...Ch. 0 - Use the two-check-digit error-correction method...Ch. 0 - Suppose that an eight-digit number has two check...Ch. 0 - The state of Utah appends a ninth digit a9 to an...Ch. 0 - Complete the proof of Theorem 0.8.Ch. 0 - Let S be the set of real numbers. If a,bS , define...Ch. 0 - Let S be the set of integers. If a,bS , define aRb...Ch. 0 - Let S be the set of integers. If a,bS , define aRb...Ch. 0 - Complete the proof of Theorem 0.7 by showing that...Ch. 0 - Prove that 3, 5, and 7 are the only three...Ch. 0 - What is the last digit of 3100 ? What is the last...Ch. 0 - Prove that there are no rational numbers x and y...Ch. 0 - (Cancellation Property) Suppose , and are...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- What does a G01 tell a machine to perform?arrow_forwardSuppose a company needs temporary passwords for the trial of a new time management software. Each password will have two letters followed by two digits. The digits 7, 8,9 will not be used. So, there are 26 letters and 7 digits that will be used. Assume that the letters and digits can be repeated. How many passwords can be created using this format?arrow_forwardEvaluate ſ(r -)dr.arrow_forward
- Suppose that license plates in a certain municipality come in two forms: two letters (A …Z) followed by three digits (0 … 9) or three letters followed by two digits. How manydifferent license plates are possiblearrow_forwardboth the first and second row have 0 not just the firstarrow_forwardSuppose a company needs temporary passwords for the trial of a new payroll software. Each password will have two letters, followed by one digit, followed by one letter. The letter W will not be used. So, there are 25 letters and 10 digits that will be used. Assume that the letters can be repeated. How many passwords can be created using this format?arrow_forward
- Suppose 5 of every 9 dentists recommend Mintyfresh Toothpaste. Suppose ten dentists are chosen(a) exactly six dentists recommend Mintyfresh. (b) less than two dentists recommend Mintyfresh. (c) at least eight dentists recommend Mintyfresh. Round all answers to four decimal places.arrow_forwardA large corporation is concerned with security and identify theft. So, unsteady of using workers names, they are going to assign each person a code. It will consist of two letters, followed by two digits. How many different codes existarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License