Mathematical Applications for the Management, Life, and Social Sciences
12th Edition
ISBN: 9781337625340
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3, Problem 3EAGP2
To determine
The loss of profit associated with bonus packages of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Ch. 3.1 - (a) Do matrices A and B have the same...Ch. 3.1 -
Ch. 3.1 - 3. (a) What matrix D must be added to matrix A...Ch. 3.1 - Prob. 4CPCh. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Prob. 4ECh. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...
Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Use the following matrices for Problems...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - In Problems 15-28, perform the operations if...Ch. 3.1 - Prob. 25ECh. 3.1 - In Problems 15-28, perform the operations if...Ch. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - In Problems , find and.
Ch. 3.1 - In Problems , find and.
Ch. 3.1 - Prob. 33ECh. 3.1 - 34. Find and if
Ch. 3.1 - 35. Endangered species The tables below give the...Ch. 3.1 - 36. Asian demographics The following tables show...Ch. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - 39. Sales Let matrix A represent the sales (in...Ch. 3.1 - 40. Opinion polls A poll of people revealed...Ch. 3.1 - Prob. 41ECh. 3.1 - 42. National health expenditures The following...Ch. 3.1 - Prob. 43ECh. 3.1 - 44. Debt payment Ace, Baker, and Champ are being...Ch. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - 47. Management Management is attempting to...Ch. 3.1 -
48. Ranking To rank the five members of a...Ch. 3.1 - 49. Production and inventories Operating from two...Ch. 3.1 - Prob. 50ECh. 3.1 - 51. Management In an evaluation of labor...Ch. 3.1 - Prob. 52ECh. 3.1 - 53. For the data in the Problem , use an Excel...Ch. 3.1 - 54. For the data in problem, use an Excel...Ch. 3.2 - What is element if with and
Ch. 3.2 - 2. Find the product.
and
Ch. 3.2 - 3. (a) Compute if and
(b) Can the product...Ch. 3.2 - In Problems 1-4, multiply the matrices.
Ch. 3.2 - In Problems 1-4, multiply the matrices.
Ch. 3.2 - In Problems 1-4, multiply the matrices.
Ch. 3.2 - In Problems 1-4, multiply the matrices.
Ch. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - Prob. 14ECh. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - In Problems 5-24, use matrices through. In...Ch. 3.2 - Prob. 24ECh. 3.2 - In Problems 25-34, use the matrices below....Ch. 3.2 - Prob. 26ECh. 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. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - 38. For
Are and defined?
What size is each...Ch. 3.2 - Prob. 39ECh. 3.2 - In each of Problems , substitute the given values...Ch. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - 45. Car pricing A car dealer can buy midsize cars...Ch. 3.2 - . Revenue A clothing manufacturer has factories...Ch. 3.2 - Prob. 47ECh. 3.2 - . Area and population Matrix below gives the...Ch. 3.2 - 49. Population dynamics Suppose that for a...Ch. 3.2 - 50. Nutrition Suppose the weights (in grams) and...Ch. 3.2 - Prob. 51ECh. 3.2 - Encoding messages Multiplication by a matrix can...Ch. 3.2 - Oil refineries When gasoline is refined from...Ch. 3.2 - 54. Production A manufacturer of small kitchen...Ch. 3.2 - 55. Accounting The annual budget of the Magnum...Ch. 3.2 - 56. Accounting Consider the original budget...Ch. 3.3 - CHECKPOINT
(a) Write the augmented matrix for...Ch. 3.3 - Prob. 2CPCh. 3.3 - CHECKPOINT
For each system of equations, the...Ch. 3.3 - CHECKPOINT
For each system of equations, the...Ch. 3.3 - Prob. 5CPCh. 3.3 - In a problem 1 and 2 use the indicated row...Ch. 3.3 -
In problem 1 and 2, use the indicated row...Ch. 3.3 - In problem 3 and 4, write the augmented matrix...Ch. 3.3 - In problem 3 and 4, write the augmented matrix...Ch. 3.3 -
In problem 5-10, an augmented matrix for a...Ch. 3.3 - Prob. 6ECh. 3.3 - In problem 5-10, an augmented matrix for a system...Ch. 3.3 - In problem 5-10, an augmented matrix for a system...Ch. 3.3 - In problem 5-10, an augmented matrix for a system...Ch. 3.3 - Prob. 10ECh. 3.3 -
In problem 11-16, use row operations on...Ch. 3.3 -
In problem 11-16, use row operations on...Ch. 3.3 - In problem 11-16, use row operations on augmented...Ch. 3.3 -
In problem 11-16, use row operations on augmented...Ch. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 -
In problem 17- 20, a system of linear equations...Ch. 3.3 -
In problem 17- 20, a system of linear equations...Ch. 3.3 - In problem 17- 20, a system of linear equations...Ch. 3.3 -
In problem 17- 20, a system of linear equations...Ch. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - In systems of equations in problem 23 – 36 may...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 -
In systems of equations in problem 23 – 36 may...Ch. 3.3 - Prob. 29ECh. 3.3 - In systems of equations in problem 23 – 36 may...Ch. 3.3 - Prob. 31ECh. 3.3 - In systems of equations in problem 23 – 36 may...Ch. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - 45. Nutrition A preschool has Campbell’s Chunky...Ch. 3.3 -
46. Ticket sales A 3500-seat theatre sells...Ch. 3.3 -
47. Investment A man has $235,000 invested in...Ch. 3.3 -
48. Loans A bank lent $1.2 million for the...Ch. 3.3 -
49. Car rental patterns A car rental agency in...Ch. 3.3 -
50. Nutrition A psychologist studying the...Ch. 3.3 - 51. Nutrition The following table gives the...Ch. 3.3 -
52. Investment A brokerage house offers three...Ch. 3.3 -
53. Investment Suppose that portfolios I and II...Ch. 3.3 - 54. Nutrition Each ounce of substance A supplies...Ch. 3.3 - 55. Nutrition A glass of skim milk supplies 0.1 mg...Ch. 3.3 -
56. Transportation The King Trucking Company has...Ch. 3.3 - Nutrition A botanist can purchase plant food of...Ch. 3.3 - Traffic flow In the analyst of traffic flow, a...Ch. 3.3 - Nutrition Three different bacteria are cultured in...Ch. 3.3 - Irrigation An irrigation system allows water to...Ch. 3.3 - Investment An investment club has set a goal to...Ch. 3.3 - A trust account client has to be invested. The...Ch. 3.3 - 63. Investment A brokerage house offers three...Ch. 3.4 - [Type here]
CHECKPOINT
Are the matricesand...Ch. 3.4 - Prob. 2CPCh. 3.4 - Prob. 3CPCh. 3.4 - [Type text]
If is a matrix and is its inverse,...Ch. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - [Type text]
In Problems 5-10, find the inverse...Ch. 3.4 - [Type text]
In Problems 5-10, find the inverse...Ch. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - [Type here]
In Problems 15-20, find the inverse...Ch. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - [Type here]
In Problems 15-20, find the inverse...Ch. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - [Type here]
In Problems 23-26, the inverse of...Ch. 3.4 - [Type here]
In Problems 23-26, the inverse of...Ch. 3.4 - [Type here]
In Problems 23-26, the inverse of...Ch. 3.4 - [Type here]
In Problems 23-26, the inverse of...Ch. 3.4 - Prob. 27ECh. 3.4 - [Type here]
28. Use the inverse found in Problem...Ch. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - [Type here]
In Problems 29-32, use inverse...Ch. 3.4 - [Type here]
In Problems 29-32, use inverse...Ch. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - 51. Competition A product is made by only two...Ch. 3.4 -
52. Demographics Suppose that a government study...Ch. 3.4 -
In Problems 53-63, set up each system of...Ch. 3.4 -
In Problems 53-63, set up each system of...Ch. 3.4 -
In Problems, set up each system of equations and...Ch. 3.4 -
In problems , set up each system of equations...Ch. 3.4 - In Problems 5363, set up each system of equations...Ch. 3.4 - In Problems 5363, set up each system of equations...Ch. 3.4 - In Problems set up each system of equations and...Ch. 3.4 - In Problems set up each system of equations and...Ch. 3.4 - In Problems 53-63, set up each system of equations...Ch. 3.4 - In Problems set up each system of equations and...Ch. 3.5 - CHECKPOINT
The following technology matrix for a...Ch. 3.5 - Prob. 2CPCh. 3.5 - CHECKPOINT
3. Suppose a primitive economy has wood...Ch. 3.5 - Prob. 4CPCh. 3.5 - The following technology matrix for a simple...Ch. 3.5 - For the economy in Problem 1, what industry is...Ch. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - The following technology matrix describes the...Ch. 3.5 - The following technology matrix describes the...Ch. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Suppose a primitive economy consists of two...Ch. 3.5 - Suppose an economy has two industries, agriculture...Ch. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Suppose the economy of an underdeveloped country...Ch. 3.5 - Suppose a simple economy with only an agricultural...Ch. 3.5 - Prob. 17ECh. 3.5 - An underdeveloped country has an agricultural...Ch. 3.5 - A simple economy has an electronic components...Ch. 3.5 - Prob. 20ECh. 3.5 - A primitive economy consists of a fishing industry...Ch. 3.5 - An economy has a manufacturing industry and a...Ch. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Interdepartmental costs Within a company is a...Ch. 3.5 - Suppose that an economy has three industries...Ch. 3.5 - Prob. 28ECh. 3.5 - Suppose that the economy of a small nation has an...Ch. 3.5 - Suppose an economy has the same technology matrix...Ch. 3.5 - Suppose that a simple economy has three...Ch. 3.5 - Prob. 32ECh. 3.5 - Problems 33-38 refer to closed Leontief models....Ch. 3.5 - Problems 33-38 refer to closed Leontief models....Ch. 3.5 - Problems 33-38 refer to closed Leontief models....Ch. 3.5 - Problems 33-38 refer to closed Leontief models....Ch. 3.5 - Problems 33-38 refer to closed Leontief models....Ch. 3.5 - Problems 33-38 refer to closed Leontief models.
A...Ch. 3.5 - Prob. 39ECh. 3.5 - Card tables are made by joining legs and a top...Ch. 3.5 - Prob. 41ECh. 3.5 - A log carrier has a body made from a -ft length of...Ch. 3 - Use the matrices below a needed to complete...Ch. 3 - Use the matrices below a needed to complete...Ch. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - In Problems 30-36, solve each system using...Ch. 3 - Prob. 32RECh. 3 - In Problems 30-36, solve each system using...Ch. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - The Burr Cabinet Company manufactures bookcases...Ch. 3 - Prob. 50RECh. 3 - A small church choir is made up of men and women...Ch. 3 - Manufacturing Two departments of a firm, and ,...Ch. 3 - Prob. 53RECh. 3 - Investment A woman has to invest. She has decided...Ch. 3 - Nutrition A biologist is growing three different...Ch. 3 - Transportation An airline company has three types...Ch. 3 - Economy models An economy has a shipping industry...Ch. 3 - Economy models A simple economy has a shoe...Ch. 3 - Economy models A look at the industrial sector of...Ch. 3 - Economy models Suppose a closed Leontief model for...Ch. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - Prob. 10TCh. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Suppose that the solution of an investment problem...Ch. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 -
21. Suppose the technology matrix for a closed...Ch. 3 -
Use the following information in Problem ...Ch. 3 -
Use the following information in Problem ...Ch. 3 - Prob. 24TCh. 3 - Prob. 1EAGP1Ch. 3 - Prob. 2EAGP1Ch. 3 - Prob. 3EAGP1Ch. 3 - Prob. 4EAGP1Ch. 3 - Prob. 5EAGP1Ch. 3 - Prob. 6EAGP1Ch. 3 - Prob. 7EAGP1Ch. 3 - Prob. 1EAGP2Ch. 3 - Prob. 2EAGP2Ch. 3 - Prob. 3EAGP2Ch. 3 - Prob. 4EAGP2
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Renting Paddleboats An enterprise rents out paddleboats for all-day use on a lake. The owner knows that he can rent out all 27 of his paddleboats if he chargers 1 for each rental. He also knows that he can rent out only 26 if he chargers 2 for each rental and that, in general, there will be 1 less paddleboat rental for each extra dollar that he charges per rental. a. What would the owners total revenue be if he charged 3 for each paddleboat rental? b. Use a formula to express the number of rentals as a function of the amount charged for each rental. c. Use a formula to express the total revenues as a function of the amount charged for each rental. d. How much should the owner charge to get the largest total revenue?arrow_forwardDVD Rentals Two new DVDs, a horror film and a comedy film, are released in the same week. The weekly number N of rentals decreases for the horror film and increases for the comedy film according to the models N=36024xHorrorfilmN=24+18xComedyfilm Where x represents the time (in weeks), with x=1 corresponding to the first week of release. (a) After how many weeks will the numbers of DVDs rented for the two films be equal? (b) Use a table to solve the system of equations numerically. Compare your result with that of part (a).arrow_forwardThe Advantage Cash Card At the student union on a certain campus, you can save on food purchases by using the Advantage Cash Card. You deposit money into an Advantage Cash account and are issued a credit card the you use to purchase food. The card has several advantages: If you open your Advantage Cash account for 200 or more, a 5% bonus is added to your account balance. When you use your Advantage Cash Card, you receive 5% off the retail price of any food purchase. When you buy food with cash, you must pay a sales tax of 7.375%. With the Advantage Cash Card, you pay no sales tax. a.An item retails for 1.00. What do you pay if you use your Advantage Cash Card? b.An item retails for 1.00. What do you pay if you use cash? Round your answer to five decimal places for use in part d. c.What retail value of food will you be able to purchase if you open an Advantage Cash account for 300? Suggestion: Dont forget your 5% bonus and use the results of part a d.What retail value of food would you be able to purchase with 300 if you spend it as cash at the food court? Suggestion: Use the results of part b e.Calculate the percentage increase from your answer for part d to your answer for part c. Explain in practical terms the meaning of this percentage.arrow_forward
- Investment An inheritance of $40,000 is divided among three investments yielding $3500 in interest per year. The interest rates for the three investments are 7,9,and11 simple interest. Find the amount placed in each investment when the second and third amounts are $3000 and $5000 less than the first, respectively.arrow_forwardEnclosing a field You have 16 miles of fence that you will use to enclose a rectangle field. a.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 3 miles and length 5 miles. What is the area of this rectangle? b.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 2 miles and length 6 miles. What is the area of this rectangle? c.The first two parts of this exercise are designed to show you that you can get different areas for the rectangle of the sane perimeter, 16 miles. In general, if you arrange the 16 miles of fence into a rectangle of width w miles, then it will enclose an area of A=w8-w square miles. iMake a graph of the area enclosed as a function of w, and explain what the graph is showing. iiWhat width w should you use to enclose the most area? iiiWhat is the length of the maximum-area rectangle that you made, and what kind of figure do you have?arrow_forward4. (a) In your pocket you have some nickels, dimes, and quarters. There are 20 coins altogether and exactly twice as many dimes as nickels. The total value of the coins is $3.00. Find the number of coins of each type. (b) Find all possible combinations of 20 coins (nickels, dimes, and quarters) that will make exactly $3.00.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License