DEVELOPMENTAL MATHEMATICS
4th Edition
ISBN: 9780134896014
Author: Martin-Gay
Publisher: PEARSON
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Chapter 1.6, Problem 101ES
To determine
The difference of
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Chapter 1 Solutions
DEVELOPMENTAL MATHEMATICS
Ch. 1.2 - Use the choices below to fill in each...Ch. 1.2 - Prob. 2VRCCh. 1.2 - Prob. 3VRCCh. 1.2 - Use the choices below to fill in each blank....Ch. 1.2 - Prob. 5VRCCh. 1.2 - Prob. 6VRCCh. 1.2 - Prob. 1ESCh. 1.2 - Prob. 2ESCh. 1.2 - Prob. 3ESCh. 1.2 - Prob. 4ES
Ch. 1.2 - Prob. 5ESCh. 1.2 - Prob. 6ESCh. 1.2 - Prob. 7ESCh. 1.2 - Prob. 8ESCh. 1.2 - Prob. 9ESCh. 1.2 - Prob. 10ESCh. 1.2 - Prob. 11ESCh. 1.2 - Prob. 12ESCh. 1.2 - Prob. 13ESCh. 1.2 - Prob. 14ESCh. 1.2 - Prob. 15ESCh. 1.2 - Prob. 16ESCh. 1.2 - Prob. 17ESCh. 1.2 - Write each whole number in words. 47,033,107Ch. 1.2 - Prob. 19ESCh. 1.2 - Prob. 20ESCh. 1.2 - Prob. 21ESCh. 1.2 - Prob. 22ESCh. 1.2 - Prob. 23ESCh. 1.2 - Prob. 24ESCh. 1.2 - Prob. 25ESCh. 1.2 - Prob. 26ESCh. 1.2 - Prob. 27ESCh. 1.2 - Prob. 28ESCh. 1.2 - Prob. 29ESCh. 1.2 - Prob. 30ESCh. 1.2 - Prob. 31ESCh. 1.2 - Prob. 32ESCh. 1.2 - Prob. 33ESCh. 1.2 - Prob. 34ESCh. 1.2 - Prob. 35ESCh. 1.2 - Prob. 36ESCh. 1.2 - Prob. 37ESCh. 1.2 - Prob. 38ESCh. 1.2 - Prob. 39ESCh. 1.2 - Prob. 40ESCh. 1.2 - Prob. 41ESCh. 1.2 - Prob. 42ESCh. 1.2 - Prob. 43ESCh. 1.2 - Prob. 44ESCh. 1.2 - Prob. 45ESCh. 1.2 - Prob. 46ESCh. 1.2 - Prob. 47ESCh. 1.2 - Prob. 48ESCh. 1.2 - Prob. 49ESCh. 1.2 - Prob. 50ESCh. 1.2 - Prob. 51ESCh. 1.2 - Prob. 52ESCh. 1.2 - Prob. 53ESCh. 1.2 - Prob. 54ESCh. 1.2 - Prob. 55ESCh. 1.2 - Prob. 56ESCh. 1.2 - Prob. 57ESCh. 1.2 - Prob. 58ESCh. 1.2 - Prob. 59ESCh. 1.2 - Prob. 60ESCh. 1.2 - Prob. 61ESCh. 1.2 - Prob. 62ESCh. 1.2 - Prob. 63ESCh. 1.2 - Prob. 64ESCh. 1.2 - Prob. 65ESCh. 1.2 - Prob. 66ESCh. 1.2 - Prob. 67ESCh. 1.2 - Prob. 68ESCh. 1.2 - Prob. 69ESCh. 1.2 - Prob. 70ESCh. 1.2 - Prob. 71ESCh. 1.2 - Prob. 72ESCh. 1.2 - Prob. 73ESCh. 1.2 - Prob. 74ESCh. 1.2 - Prob. 75ESCh. 1.2 - Prob. 76ESCh. 1.2 - The Pro Football Hall of Fame was established on...Ch. 1.3 - Use the choices below to fill in each blank. Some...Ch. 1.3 - Prob. 2VRCCh. 1.3 - Prob. 3VRCCh. 1.3 - Prob. 4VRCCh. 1.3 - Prob. 5VRCCh. 1.3 - Prob. 6VRCCh. 1.3 - Prob. 1ESCh. 1.3 - Prob. 2ESCh. 1.3 - Prob. 3ESCh. 1.3 - Prob. 4ESCh. 1.3 - Prob. 5ESCh. 1.3 - Prob. 6ESCh. 1.3 - Prob. 7ESCh. 1.3 - Prob. 8ESCh. 1.3 - Prob. 9ESCh. 1.3 - Prob. 10ESCh. 1.3 - Prob. 11ESCh. 1.3 - Prob. 12ESCh. 1.3 - Prob. 13ESCh. 1.3 - Prob. 14ESCh. 1.3 - Prob. 15ESCh. 1.3 - Prob. 16ESCh. 1.3 - Prob. 17ESCh. 1.3 - Prob. 18ESCh. 1.3 - Prob. 19ESCh. 1.3 - Prob. 20ESCh. 1.3 - Prob. 21ESCh. 1.3 - Prob. 22ESCh. 1.3 - Prob. 23ESCh. 1.3 - Add.
Ch. 1.3 - Prob. 25ESCh. 1.3 - Prob. 26ESCh. 1.3 - Prob. 27ESCh. 1.3 - Prob. 28ESCh. 1.3 - Prob. 29ESCh. 1.3 - Prob. 30ESCh. 1.3 - Prob. 31ESCh. 1.3 - Prob. 32ESCh. 1.3 - Prob. 33ESCh. 1.3 - Prob. 34ESCh. 1.3 - Prob. 35ESCh. 1.3 - Prob. 36ESCh. 1.3 - Prob. 37ESCh. 1.3 - Prob. 38ESCh. 1.3 - Prob. 39ESCh. 1.3 - Prob. 40ESCh. 1.3 - Prob. 41ESCh. 1.3 - Prob. 42ESCh. 1.3 - Prob. 43ESCh. 1.3 - Prob. 44ESCh. 1.3 - Prob. 45ESCh. 1.3 - Prob. 46ESCh. 1.3 - Prob. 47ESCh. 1.3 - Prob. 48ESCh. 1.3 - Prob. 49ESCh. 1.3 - Prob. 50ESCh. 1.3 - Prob. 51ESCh. 1.3 - Prob. 52ESCh. 1.3 - Prob. 53ESCh. 1.3 - Prob. 54ESCh. 1.3 - Prob. 55ESCh. 1.3 - Prob. 56ESCh. 1.3 - Prob. 57ESCh. 1.3 - Prob. 58ESCh. 1.3 - Prob. 59ESCh. 1.3 - Prob. 60ESCh. 1.3 - Prob. 61ESCh. 1.3 - Prob. 62ESCh. 1.3 - Prob. 63ESCh. 1.3 - Prob. 64ESCh. 1.3 - Prob. 65ESCh. 1.3 - Prob. 66ESCh. 1.3 - Prob. 67ESCh. 1.3 - Prob. 68ESCh. 1.3 - Prob. 69ESCh. 1.3 - Prob. 70ESCh. 1.3 - Prob. 71ESCh. 1.3 - Prob. 72ESCh. 1.3 - Prob. 73ESCh. 1.3 - Prob. 74ESCh. 1.3 - Prob. 75ESCh. 1.3 - Prob. 76ESCh. 1.3 - Prob. 77ESCh. 1.3 - Prob. 78ESCh. 1.3 - Prob. 79ESCh. 1.3 - Prob. 80ESCh. 1.3 - Prob. 81ESCh. 1.3 - Prob. 82ESCh. 1.3 - Prob. 83ESCh. 1.3 - Prob. 84ESCh. 1.3 - Prob. 85ESCh. 1.3 - Prob. 86ESCh. 1.3 - Prob. 87ESCh. 1.3 - Prob. 88ESCh. 1.3 - Prob. 89ESCh. 1.3 - Prob. 90ESCh. 1.3 - Prob. 91ESCh. 1.3 - Prob. 92ESCh. 1.3 - Prob. 93ESCh. 1.3 - Prob. 94ESCh. 1.4 - Use the choices below to fill in each blank. 0...Ch. 1.4 - Use the choices below to fill in each blank. 0...Ch. 1.4 - Prob. 3VRCCh. 1.4 - Prob. 4VRCCh. 1.4 - Prob. 5VRCCh. 1.4 - Prob. 6VRCCh. 1.4 - Prob. 7VRCCh. 1.4 - Prob. 8VRCCh. 1.4 - Prob. 1ESCh. 1.4 - Prob. 2ESCh. 1.4 - Prob. 3ESCh. 1.4 - Prob. 4ESCh. 1.4 - Prob. 5ESCh. 1.4 - Prob. 6ESCh. 1.4 - Prob. 7ESCh. 1.4 - Prob. 8ESCh. 1.4 - Prob. 9ESCh. 1.4 - Prob. 10ESCh. 1.4 - Subtract. Check by adding. 749149_Ch. 1.4 - Prob. 12ESCh. 1.4 - Prob. 13ESCh. 1.4 - Prob. 14ESCh. 1.4 - Prob. 15ESCh. 1.4 - Prob. 16ESCh. 1.4 - Prob. 17ESCh. 1.4 - Prob. 18ESCh. 1.4 - Prob. 19ESCh. 1.4 - Prob. 20ESCh. 1.4 - Prob. 21ESCh. 1.4 - Prob. 22ESCh. 1.4 - Prob. 23ESCh. 1.4 - Prob. 24ESCh. 1.4 - Prob. 25ESCh. 1.4 - Prob. 26ESCh. 1.4 - Prob. 27ESCh. 1.4 - Prob. 28ESCh. 1.4 - Prob. 29ESCh. 1.4 - Prob. 30ESCh. 1.4 - Prob. 31ESCh. 1.4 - Prob. 32ESCh. 1.4 - Prob. 33ESCh. 1.4 - Prob. 34ESCh. 1.4 - Prob. 35ESCh. 1.4 - Prob. 36ESCh. 1.4 - Prob. 37ESCh. 1.4 - Prob. 38ESCh. 1.4 - Prob. 39ESCh. 1.4 - Prob. 40ESCh. 1.4 - Prob. 41ESCh. 1.4 - Prob. 42ESCh. 1.4 - Prob. 43ESCh. 1.4 - Prob. 44ESCh. 1.4 - Prob. 45ESCh. 1.4 - Prob. 46ESCh. 1.4 - Prob. 47ESCh. 1.4 - Prob. 48ESCh. 1.4 - Prob. 49ESCh. 1.4 - Prob. 50ESCh. 1.4 - Prob. 51ESCh. 1.4 - Prob. 52ESCh. 1.4 - Prob. 53ESCh. 1.4 - Prob. 54ESCh. 1.4 - Prob. 55ESCh. 1.4 - Prob. 56ESCh. 1.4 - Prob. 57ESCh. 1.4 - Prob. 58ESCh. 1.4 - Prob. 59ESCh. 1.4 - Prob. 60ESCh. 1.4 - Prob. 61ESCh. 1.4 - Prob. 62ESCh. 1.4 - Prob. 63ESCh. 1.4 - Prob. 64ESCh. 1.4 - Prob. 65ESCh. 1.4 - Prob. 66ESCh. 1.4 - Prob. 67ESCh. 1.4 - Prob. 68ESCh. 1.4 - Prob. 69ESCh. 1.4 - Prob. 70ESCh. 1.4 - Prob. 71ESCh. 1.4 - Prob. 72ESCh. 1.4 - Prob. 73ESCh. 1.4 - Prob. 74ESCh. 1.4 - Prob. 75ESCh. 1.4 - Prob. 76ESCh. 1.4 - Prob. 77ESCh. 1.4 - Prob. 78ESCh. 1.4 - Prob. 79ESCh. 1.4 - Prob. 80ESCh. 1.4 - Prob. 81ESCh. 1.4 - Prob. 82ESCh. 1.4 - Prob. 83ESCh. 1.4 - Prob. 84ESCh. 1.4 - Prob. 85ESCh. 1.4 - Prob. 86ESCh. 1.4 - Prob. 87ESCh. 1.4 - Prob. 88ESCh. 1.4 - Prob. 89ESCh. 1.4 - Prob. 90ESCh. 1.4 - Prob. 91ESCh. 1.4 - Prob. 92ESCh. 1.4 - Prob. 93ESCh. 1.4 - Prob. 94ESCh. 1.4 - Prob. 95ESCh. 1.4 - Prob. 96ESCh. 1.4 - Prob. 97ESCh. 1.4 - Prob. 98ESCh. 1.4 - Prob. 99ESCh. 1.4 - Prob. 100ESCh. 1.4 - Prob. 101ESCh. 1.4 - Prob. 102ESCh. 1.4 - Prob. 103ESCh. 1.4 - Prob. 104ESCh. 1.4 - Prob. 105ESCh. 1.5 - Prob. 1VRCCh. 1.5 - Prob. 2VRCCh. 1.5 - Prob. 3VRCCh. 1.5 - Prob. 4VRCCh. 1.5 - Prob. 1ESCh. 1.5 - Prob. 2ESCh. 1.5 - Prob. 3ESCh. 1.5 - Round each whole number to the given place.
to...Ch. 1.5 - Prob. 5ESCh. 1.5 - Prob. 6ESCh. 1.5 - Prob. 7ESCh. 1.5 - Prob. 8ESCh. 1.5 - Prob. 9ESCh. 1.5 - Prob. 10ESCh. 1.5 - Prob. 11ESCh. 1.5 - Prob. 12ESCh. 1.5 - Prob. 13ESCh. 1.5 - Prob. 14ESCh. 1.5 - Prob. 15ESCh. 1.5 - Prob. 16ESCh. 1.5 - Prob. 17ESCh. 1.5 - Prob. 18ESCh. 1.5 - Prob. 19ESCh. 1.5 - Prob. 20ESCh. 1.5 - Prob. 21ESCh. 1.5 - Prob. 22ESCh. 1.5 - Complete the table by estimating the given number...Ch. 1.5 - Prob. 24ESCh. 1.5 - Prob. 25ESCh. 1.5 - Prob. 26ESCh. 1.5 - Prob. 27ESCh. 1.5 - Prob. 28ESCh. 1.5 - Prob. 29ESCh. 1.5 - Prob. 30ESCh. 1.5 - Prob. 31ESCh. 1.5 - Prob. 32ESCh. 1.5 - Prob. 33ESCh. 1.5 - Prob. 34ESCh. 1.5 - Prob. 35ESCh. 1.5 - Prob. 36ESCh. 1.5 - Prob. 37ESCh. 1.5 - Prob. 38ESCh. 1.5 - Prob. 39ESCh. 1.5 - Prob. 40ESCh. 1.5 - Prob. 41ESCh. 1.5 - Prob. 42ESCh. 1.5 - Prob. 43ESCh. 1.5 - Prob. 44ESCh. 1.5 - Prob. 45ESCh. 1.5 - Prob. 46ESCh. 1.5 - Prob. 47ESCh. 1.5 - Prob. 48ESCh. 1.5 - Prob. 49ESCh. 1.5 - Prob. 50ESCh. 1.5 - Prob. 51ESCh. 1.5 - Prob. 52ESCh. 1.5 - Prob. 53ESCh. 1.5 - Prob. 54ESCh. 1.5 - Prob. 55ESCh. 1.5 - Prob. 56ESCh. 1.5 - Prob. 57ESCh. 1.5 - Prob. 58ESCh. 1.5 - Prob. 59ESCh. 1.5 - Prob. 60ESCh. 1.5 - Prob. 61ESCh. 1.5 - Prob. 62ESCh. 1.5 - Prob. 63ESCh. 1.5 - Prob. 64ESCh. 1.5 - Prob. 65ESCh. 1.5 - Prob. 66ESCh. 1.5 - Find one number that when rounded to the nearest...Ch. 1.5 - Prob. 68ESCh. 1.5 - Prob. 69ESCh. 1.5 - Prob. 70ESCh. 1.5 - Prob. 71ESCh. 1.5 - Prob. 72ESCh. 1.5 - Prob. 73ESCh. 1.5 - Prob. 74ESCh. 1.5 - Prob. 75ESCh. 1.5 - Prob. 76ESCh. 1.5 - Prob. 77ESCh. 1.5 - Prob. 78ESCh. 1.6 - Use the choices below to fill in each blank. Area...Ch. 1.6 - Prob. 2VRCCh. 1.6 - Prob. 3VRCCh. 1.6 - Prob. 4VRCCh. 1.6 - Prob. 5VRCCh. 1.6 - Prob. 6VRCCh. 1.6 - Prob. 7VRCCh. 1.6 - Prob. 8VRCCh. 1.6 - Prob. 1ESCh. 1.6 - Prob. 2ESCh. 1.6 - Prob. 3ESCh. 1.6 - Prob. 4ESCh. 1.6 - Prob. 5ESCh. 1.6 - Prob. 6ESCh. 1.6 - Prob. 7ESCh. 1.6 - Prob. 8ESCh. 1.6 - Prob. 9ESCh. 1.6 - Prob. 10ESCh. 1.6 - Prob. 11ESCh. 1.6 - Prob. 12ESCh. 1.6 - Prob. 13ESCh. 1.6 - Prob. 14ESCh. 1.6 - Prob. 15ESCh. 1.6 - Prob. 16ESCh. 1.6 - Prob. 17ESCh. 1.6 - Prob. 18ESCh. 1.6 - Prob. 19ESCh. 1.6 - Prob. 20ESCh. 1.6 - Prob. 21ESCh. 1.6 - Prob. 22ESCh. 1.6 - Prob. 23ESCh. 1.6 - Prob. 24ESCh. 1.6 - Prob. 25ESCh. 1.6 - Prob. 26ESCh. 1.6 - Prob. 27ESCh. 1.6 - Prob. 28ESCh. 1.6 - Prob. 29ESCh. 1.6 - Prob. 30ESCh. 1.6 - Prob. 31ESCh. 1.6 - Prob. 32ESCh. 1.6 - Prob. 33ESCh. 1.6 - Prob. 34ESCh. 1.6 - Prob. 35ESCh. 1.6 - Prob. 36ESCh. 1.6 - Prob. 37ESCh. 1.6 - Prob. 38ESCh. 1.6 - Prob. 39ESCh. 1.6 - Prob. 40ESCh. 1.6 - Prob. 41ESCh. 1.6 - Prob. 42ESCh. 1.6 - Prob. 43ESCh. 1.6 - Prob. 44ESCh. 1.6 - Prob. 45ESCh. 1.6 - Prob. 46ESCh. 1.6 - Prob. 47ESCh. 1.6 - Prob. 48ESCh. 1.6 - Prob. 49ESCh. 1.6 - Prob. 50ESCh. 1.6 - Prob. 51ESCh. 1.6 - Prob. 52ESCh. 1.6 - Prob. 53ESCh. 1.6 - Prob. 54ESCh. 1.6 - Prob. 55ESCh. 1.6 - Prob. 56ESCh. 1.6 - MIXED PRACTICE (SECTION 1.3) Find the area and the...Ch. 1.6 - MIXED PRACTICE (SECTION 1.3) Find the area and the...Ch. 1.6 - Prob. 59ESCh. 1.6 - Prob. 60ESCh. 1.6 - Prob. 61ESCh. 1.6 - Prob. 62ESCh. 1.6 - Prob. 63ESCh. 1.6 - Prob. 64ESCh. 1.6 - Prob. 65ESCh. 1.6 - Without actually calculating, mentally round,...Ch. 1.6 - Prob. 67ESCh. 1.6 - Prob. 68ESCh. 1.6 - Prob. 69ESCh. 1.6 - Prob. 70ESCh. 1.6 - MIXED PRACTICE-TRANSLATING Solve. Find the product...Ch. 1.6 - Prob. 72ESCh. 1.6 - Prob. 73ESCh. 1.6 - Prob. 74ESCh. 1.6 - Prob. 75ESCh. 1.6 - Prob. 76ESCh. 1.6 - The textbook for a course in biology costs 94....Ch. 1.6 - Prob. 78ESCh. 1.6 - Prob. 79ESCh. 1.6 - Prob. 80ESCh. 1.6 - Prob. 81ESCh. 1.6 - Prob. 82ESCh. 1.6 - Prob. 83ESCh. 1.6 - Prob. 84ESCh. 1.6 - Prob. 85ESCh. 1.6 - Prob. 86ESCh. 1.6 - Prob. 87ESCh. 1.6 - Prob. 88ESCh. 1.6 - Prob. 89ESCh. 1.6 - Prob. 90ESCh. 1.6 - Prob. 91ESCh. 1.6 - Prob. 92ESCh. 1.6 - Prob. 93ESCh. 1.6 - The number of older Americans (ages 65 and older)...Ch. 1.6 - Prob. 95ESCh. 1.6 - Prob. 96ESCh. 1.6 - Prob. 97ESCh. 1.6 - Prob. 98ESCh. 1.6 - Prob. 99ESCh. 1.6 - Prob. 100ESCh. 1.6 - Prob. 101ESCh. 1.6 - Prob. 102ESCh. 1.6 - Prob. 103ESCh. 1.6 - Prob. 104ESCh. 1.6 - Prob. 105ESCh. 1.6 - Prob. 106ESCh. 1.6 - Prob. 107ESCh. 1.6 - Prob. 108ESCh. 1.6 - Prob. 109ESCh. 1.6 - Prob. 110ESCh. 1.6 - Prob. 111ESCh. 1.6 - Prob. 112ESCh. 1.6 - Prob. 113ESCh. 1.6 - Prob. 114ESCh. 1.7 - Prob. 1VRCCh. 1.7 - Prob. 2VRCCh. 1.7 - Prob. 3VRCCh. 1.7 - Prob. 4VRCCh. 1.7 - Prob. 5VRCCh. 1.7 - Prob. 6VRCCh. 1.7 - Prob. 1ESCh. 1.7 - Find each quotient 729Ch. 1.7 - Prob. 3ESCh. 1.7 - Prob. 4ESCh. 1.7 - Prob. 5ESCh. 1.7 - Prob. 6ESCh. 1.7 - Prob. 7ESCh. 1.7 - Prob. 8ESCh. 1.7 - Prob. 9ESCh. 1.7 - Prob. 10ESCh. 1.7 - Prob. 11ESCh. 1.7 - Prob. 12ESCh. 1.7 - Prob. 13ESCh. 1.7 - Prob. 14ESCh. 1.7 - Prob. 15ESCh. 1.7 - Prob. 16ESCh. 1.7 - Prob. 17ESCh. 1.7 - Prob. 18ESCh. 1.7 - Prob. 19ESCh. 1.7 - Prob. 20ESCh. 1.7 - Prob. 21ESCh. 1.7 - Prob. 22ESCh. 1.7 - Prob. 23ESCh. 1.7 - Prob. 24ESCh. 1.7 - Prob. 25ESCh. 1.7 - Prob. 26ESCh. 1.7 - Prob. 27ESCh. 1.7 - Prob. 28ESCh. 1.7 - Prob. 29ESCh. 1.7 - Prob. 30ESCh. 1.7 - Prob. 31ESCh. 1.7 - Prob. 32ESCh. 1.7 - Prob. 33ESCh. 1.7 - Prob. 34ESCh. 1.7 - Prob. 35ESCh. 1.7 - Prob. 36ESCh. 1.7 - Prob. 37ESCh. 1.7 - Prob. 38ESCh. 1.7 - Prob. 39ESCh. 1.7 - Prob. 40ESCh. 1.7 - Prob. 41ESCh. 1.7 - Prob. 42ESCh. 1.7 - Prob. 43ESCh. 1.7 - Prob. 44ESCh. 1.7 - Prob. 45ESCh. 1.7 - Prob. 46ESCh. 1.7 - Prob. 47ESCh. 1.7 - Prob. 48ESCh. 1.7 - Prob. 49ESCh. 1.7 - Prob. 50ESCh. 1.7 - Prob. 51ESCh. 1.7 - Prob. 52ESCh. 1.7 - Prob. 53ESCh. 1.7 - Divide and then check by multiplying.
Ch. 1.7 - Prob. 55ESCh. 1.7 - Prob. 56ESCh. 1.7 - Prob. 57ESCh. 1.7 - Prob. 58ESCh. 1.7 - Prob. 59ESCh. 1.7 - Prob. 60ESCh. 1.7 - Prob. 61ESCh. 1.7 - Prob. 62ESCh. 1.7 - Prob. 63ESCh. 1.7 - Prob. 64ESCh. 1.7 - Prob. 65ESCh. 1.7 - Prob. 66ESCh. 1.7 - Prob. 67ESCh. 1.7 - Prob. 68ESCh. 1.7 - Prob. 69ESCh. 1.7 - Prob. 70ESCh. 1.7 - Prob. 71ESCh. 1.7 - Prob. 72ESCh. 1.7 - Prob. 73ESCh. 1.7 - Prob. 74ESCh. 1.7 - Prob. 75ESCh. 1.7 - Prob. 76ESCh. 1.7 - Prob. 77ESCh. 1.7 - Prob. 78ESCh. 1.7 - Prob. 79ESCh. 1.7 - Prob. 80ESCh. 1.7 - Prob. 81ESCh. 1.7 - The white stripes dividing the lanes on a highway...Ch. 1.7 - Ari Trainor is in the requisitions department of...Ch. 1.7 - Prob. 84ESCh. 1.7 - Prob. 85ESCh. 1.7 - Prob. 86ESCh. 1.7 - Prob. 87ESCh. 1.7 - Prob. 88ESCh. 1.7 - Prob. 89ESCh. 1.7 - Prob. 90ESCh. 1.7 - Prob. 91ESCh. 1.7 - Prob. 92ESCh. 1.7 - Prob. 93ESCh. 1.7 - Prob. 94ESCh. 1.7 - Prob. 95ESCh. 1.7 - Prob. 96ESCh. 1.7 - Prob. 97ESCh. 1.7 - Prob. 98ESCh. 1.7 - Prob. 99ESCh. 1.7 - Prob. 100ESCh. 1.7 - Prob. 101ESCh. 1.7 - Prob. 102ESCh. 1.7 - Prob. 103ESCh. 1.7 - Prob. 104ESCh. 1.7 - Prob. 105ESCh. 1.7 - Prob. 106ESCh. 1.7 - Prob. 107ESCh. 1.7 - Prob. 108ESCh. 1.7 - Prob. 109ESCh. 1.7 - Prob. 110ESCh. 1.7 - Prob. 111ESCh. 1.7 - Prob. 112ESCh. 1.7 - Prob. 113ESCh. 1.7 - Prob. 114ESCh. 1.7 - Prob. 115ESCh. 1.7 - Prob. 116ESCh. 1.7 - Prob. 117ESCh. 1.7 - Prob. 118ESCh. 1.7 - Prob. 119ESCh. 1.7 - Prob. 120ESCh. 1.7 - Prob. 121ESCh. 1.7 - Prob. 122ESCh. 1.7 - Prob. 1IRCh. 1.7 - Prob. 2IRCh. 1.7 - Prob. 3IRCh. 1.7 - Prob. 4IRCh. 1.7 - Prob. 5IRCh. 1.7 - Prob. 6IRCh. 1.7 - Prob. 7IRCh. 1.7 - Prob. 8IRCh. 1.7 - Prob. 9IRCh. 1.7 - Prob. 10IRCh. 1.7 - Prob. 11IRCh. 1.7 - Prob. 12IRCh. 1.7 - Prob. 13IRCh. 1.7 - Prob. 14IRCh. 1.7 - Prob. 15IRCh. 1.7 - Prob. 16IRCh. 1.7 - Prob. 17IRCh. 1.7 - Prob. 18IRCh. 1.7 - Prob. 19IRCh. 1.7 - Prob. 20IRCh. 1.7 - Prob. 21IRCh. 1.7 - Prob. 22IRCh. 1.7 - Prob. 23IRCh. 1.7 - Prob. 24IRCh. 1.7 - Operations on Whole Numbers 40002976Ch. 1.7 - Prob. 26IRCh. 1.7 - Prob. 27IRCh. 1.7 - Prob. 28IRCh. 1.7 - Prob. 29IRCh. 1.7 - Prob. 30IRCh. 1.7 - Prob. 31IRCh. 1.7 - Prob. 32IRCh. 1.7 - Prob. 33IRCh. 1.7 - Prob. 34IRCh. 1.7 - Prob. 35IRCh. 1.7 - Prob. 36IRCh. 1.7 - Prob. 37IRCh. 1.7 - Prob. 38IRCh. 1.7 - Prob. 39IRCh. 1.7 - Prob. 40IRCh. 1.7 - Prob. 41IRCh. 1.7 - Prob. 42IRCh. 1.7 - Prob. 43IRCh. 1.7 - Prob. 44IRCh. 1.7 - The Mackinac Bridge is a suspension bridge that...Ch. 1.7 - Prob. 46IRCh. 1.8 - Prob. 1ESCh. 1.8 - Prob. 2ESCh. 1.8 - Prob. 3ESCh. 1.8 - Prob. 4ESCh. 1.8 - Prob. 5ESCh. 1.8 - Prob. 6ESCh. 1.8 - Prob. 7ESCh. 1.8 - Prob. 8ESCh. 1.8 - Prob. 9ESCh. 1.8 - Prob. 10ESCh. 1.8 - Prob. 11ESCh. 1.8 - Prob. 12ESCh. 1.8 - Prob. 13ESCh. 1.8 - Prob. 14ESCh. 1.8 - The Verrazano Narrows Bridge is the longest bridge...Ch. 1.8 - In 2013, the Goodyear The Rubber Company began...Ch. 1.8 - Yellow stone National Park in Wyoming was the...Ch. 1.8 - Razor scooters were introduced in 2000. Radio...Ch. 1.8 - Prob. 19ESCh. 1.8 - Prob. 20ESCh. 1.8 - Prob. 21ESCh. 1.8 - Prob. 22ESCh. 1.8 - Prob. 23ESCh. 1.8 - In , the average weekly pay for a fire inspector...Ch. 1.8 - Prob. 25ESCh. 1.8 - Prob. 26ESCh. 1.8 - Prob. 27ESCh. 1.8 - Prob. 28ESCh. 1.8 - Prob. 29ESCh. 1.8 - Prob. 30ESCh. 1.8 - Prob. 31ESCh. 1.8 - Prob. 32ESCh. 1.8 - Prob. 33ESCh. 1.8 - Prob. 34ESCh. 1.8 - Prob. 35ESCh. 1.8 - Prob. 36ESCh. 1.8 - Prob. 37ESCh. 1.8 - Prob. 38ESCh. 1.8 - Prob. 39ESCh. 1.8 - Prob. 40ESCh. 1.8 - Prob. 41ESCh. 1.8 - Prob. 42ESCh. 1.8 - Prob. 43ESCh. 1.8 - Prob. 44ESCh. 1.8 - Prob. 45ESCh. 1.8 - Prob. 46ESCh. 1.8 - Prob. 47ESCh. 1.8 - Prob. 48ESCh. 1.8 - Prob. 49ESCh. 1.8 - Prob. 50ESCh. 1.8 - Prob. 51ESCh. 1.8 - Prob. 52ESCh. 1.8 - Prob. 53ESCh. 1.8 - Prob. 54ESCh. 1.8 - Prob. 55ESCh. 1.8 - Prob. 56ESCh. 1.8 - Prob. 57ESCh. 1.8 - Prob. 58ESCh. 1.8 - Prob. 59ESCh. 1.9 - Prob. 1VRCCh. 1.9 - Prob. 2VRCCh. 1.9 - Prob. 3VRCCh. 1.9 - Prob. 4VRCCh. 1.9 - Prob. 5VRCCh. 1.9 - Prob. 6VRCCh. 1.9 - Prob. 1ESCh. 1.9 - Prob. 2ESCh. 1.9 - Prob. 3ESCh. 1.9 - Prob. 4ESCh. 1.9 - Prob. 5ESCh. 1.9 - Prob. 6ESCh. 1.9 - Prob. 7ESCh. 1.9 - Prob. 8ESCh. 1.9 - Prob. 9ESCh. 1.9 - Prob. 10ESCh. 1.9 - Prob. 11ESCh. 1.9 - Prob. 12ESCh. 1.9 - Prob. 13ESCh. 1.9 - Prob. 14ESCh. 1.9 - Prob. 15ESCh. 1.9 - Prob. 16ESCh. 1.9 - Prob. 17ESCh. 1.9 - Prob. 18ESCh. 1.9 - Prob. 19ESCh. 1.9 - Prob. 20ESCh. 1.9 - Prob. 21ESCh. 1.9 - Prob. 22ESCh. 1.9 - Prob. 23ESCh. 1.9 - Prob. 24ESCh. 1.9 - Prob. 25ESCh. 1.9 - Prob. 26ESCh. 1.9 - Prob. 27ESCh. 1.9 - Prob. 28ESCh. 1.9 - Prob. 29ESCh. 1.9 - Prob. 30ESCh. 1.9 - Prob. 31ESCh. 1.9 - Prob. 32ESCh. 1.9 - Prob. 33ESCh. 1.9 - Prob. 34ESCh. 1.9 - Prob. 35ESCh. 1.9 - Prob. 36ESCh. 1.9 - Prob. 37ESCh. 1.9 - Prob. 38ESCh. 1.9 - Prob. 39ESCh. 1.9 - Prob. 40ESCh. 1.9 - Prob. 41ESCh. 1.9 - Prob. 42ESCh. 1.9 - Prob. 43ESCh. 1.9 - Prob. 44ESCh. 1.9 - Prob. 45ESCh. 1.9 - Prob. 46ESCh. 1.9 - Prob. 47ESCh. 1.9 - Prob. 48ESCh. 1.9 - Prob. 49ESCh. 1.9 - Prob. 50ESCh. 1.9 - Prob. 51ESCh. 1.9 - Prob. 52ESCh. 1.9 - Prob. 53ESCh. 1.9 - Prob. 54ESCh. 1.9 - Prob. 55ESCh. 1.9 - Prob. 56ESCh. 1.9 - Prob. 57ESCh. 1.9 - Prob. 58ESCh. 1.9 - Prob. 59ESCh. 1.9 - Prob. 60ESCh. 1.9 - Prob. 61ESCh. 1.9 - Prob. 62ESCh. 1.9 - Prob. 63ESCh. 1.9 - Prob. 64ESCh. 1.9 - Prob. 65ESCh. 1.9 - Prob. 66ESCh. 1.9 - Prob. 67ESCh. 1.9 - Prob. 68ESCh. 1.9 - Prob. 69ESCh. 1.9 - Prob. 70ESCh. 1.9 - Prob. 71ESCh. 1.9 - Prob. 72ESCh. 1.9 - Prob. 73ESCh. 1.9 - Prob. 74ESCh. 1.9 - Prob. 75ESCh. 1.9 - Prob. 76ESCh. 1.9 - Prob. 77ESCh. 1.9 - Prob. 78ESCh. 1.9 - Prob. 79ESCh. 1.9 - Prob. 80ESCh. 1.9 - Prob. 81ESCh. 1.9 - Prob. 82ESCh. 1.9 - Prob. 83ESCh. 1.9 - Prob. 84ESCh. 1.9 - Prob. 85ESCh. 1.9 - Prob. 86ESCh. 1.9 - Prob. 87ESCh. 1.9 - Prob. 88ESCh. 1.9 - Prob. 89ESCh. 1.9 - Prob. 90ESCh. 1.9 - Prob. 91ESCh. 1.9 - Prob. 92ESCh. 1.9 - Prob. 93ESCh. 1.9 - Prob. 94ESCh. 1.9 - Prob. 95ESCh. 1.9 - Prob. 96ESCh. 1.9 - Prob. 97ESCh. 1.9 - Prob. 98ESCh. 1.9 - Prob. 99ESCh. 1.9 - Prob. 100ESCh. 1.9 - Prob. 101ESCh. 1.9 - Prob. 102ESCh. 1.9 - Prob. 103ESCh. 1.9 - Prob. 104ESCh. 1.9 - Prob. 105ESCh. 1.9 - Prob. 106ESCh. 1.9 - Prob. 107ESCh. 1.9 - Prob. 108ESCh. 1.9 - Prob. 109ESCh. 1.9 - Prob. 110ESCh. 1.9 - A building contractor is bidding on a contract to...Ch. 1.9 - The building contractor from Exercise 111 plans to...Ch. 1.9 - Prob. 113ESCh. 1.9 - Prob. 114ESCh. 1.9 - Prob. 115ESCh. 1.9 - Prob. 116ESCh. 1 - Group Activity Use an appropriate physical model...Ch. 1 - Prob. 2GACh. 1 - Prob. 3GACh. 1 - Prob. 1VCCh. 1 - Prob. 2VCCh. 1 - Prob. 3VCCh. 1 - Prob. 4VCCh. 1 - Prob. 5VCCh. 1 - Prob. 6VCCh. 1 - Prob. 7VCCh. 1 - Prob. 8VCCh. 1 - Prob. 9VCCh. 1 - Prob. 10VCCh. 1 - Fill in each blank with one of the words or...Ch. 1 - Prob. 12VCCh. 1 - Prob. 13VCCh. 1 - Prob. 14VCCh. 1 - Prob. 15VCCh. 1 - Prob. 16VCCh. 1 - Prob. 17VCCh. 1 - Fill in each blank with one of the words or...Ch. 1 - Prob. 1RCh. 1 - Prob. 2RCh. 1 - Write each whole number in words.
Ch. 1 - Prob. 4RCh. 1 - Prob. 5RCh. 1 - Prob. 6RCh. 1 - Prob. 7RCh. 1 - Prob. 8RCh. 1 - Prob. 9RCh. 1 - Prob. 10RCh. 1 - Prob. 11RCh. 1 - Prob. 12RCh. 1 - Prob. 13RCh. 1 - Prob. 14RCh. 1 - Prob. 15RCh. 1 - Prob. 16RCh. 1 - Prob. 17RCh. 1 - Prob. 18RCh. 1 - Prob. 19RCh. 1 - Prob. 20RCh. 1 - Prob. 21RCh. 1 - Prob. 22RCh. 1 - Prob. 23RCh. 1 - Prob. 24RCh. 1 - Prob. 25RCh. 1 - Prob. 26RCh. 1 - Prob. 27RCh. 1 - Prob. 28RCh. 1 - Prob. 29RCh. 1 - Prob. 30RCh. 1 - Prob. 31RCh. 1 - Prob. 32RCh. 1 - Prob. 33RCh. 1 - Prob. 34RCh. 1 - Prob. 35RCh. 1 - Prob. 36RCh. 1 - Prob. 37RCh. 1 - Prob. 38RCh. 1 - Prob. 39RCh. 1 - Prob. 40RCh. 1 - Prob. 41RCh. 1 - Prob. 42RCh. 1 - Prob. 43RCh. 1 - Prob. 44RCh. 1 - Prob. 45RCh. 1 - Prob. 46RCh. 1 - Prob. 47RCh. 1 - Prob. 48RCh. 1 - Prob. 49RCh. 1 - Prob. 50RCh. 1 - Round to the given place. 4832 to the nearest...Ch. 1 - Prob. 52RCh. 1 - Prob. 53RCh. 1 - Prob. 54RCh. 1 - Prob. 55RCh. 1 - Prob. 56RCh. 1 - Prob. 57RCh. 1 - Prob. 58RCh. 1 - Prob. 59RCh. 1 - Prob. 60RCh. 1 - Prob. 61RCh. 1 - Prob. 62RCh. 1 - Prob. 63RCh. 1 - Prob. 64RCh. 1 - Prob. 65RCh. 1 - Prob. 66RCh. 1 - Prob. 67RCh. 1 - Prob. 68RCh. 1 - Prob. 69RCh. 1 - Prob. 70RCh. 1 - Prob. 71RCh. 1 - Prob. 72RCh. 1 - Prob. 73RCh. 1 - Prob. 74RCh. 1 - Prob. 75RCh. 1 - Prob. 76RCh. 1 - Prob. 77RCh. 1 - Prob. 78RCh. 1 - Prob. 79RCh. 1 - Prob. 80RCh. 1 - Prob. 81RCh. 1 - Prob. 82RCh. 1 - Prob. 83RCh. 1 - Prob. 84RCh. 1 - Prob. 85RCh. 1 - Prob. 86RCh. 1 - Prob. 87RCh. 1 - Prob. 88RCh. 1 - Prob. 89RCh. 1 - Prob. 90RCh. 1 - Prob. 91RCh. 1 - Prob. 92RCh. 1 - Prob. 93RCh. 1 - Prob. 94RCh. 1 - Prob. 95RCh. 1 - Prob. 96RCh. 1 - Prob. 97RCh. 1 - Prob. 98RCh. 1 - Prob. 99RCh. 1 - Prob. 100RCh. 1 - Prob. 101RCh. 1 - Prob. 102RCh. 1 - Prob. 103RCh. 1 - Prob. 104RCh. 1 - Prob. 105RCh. 1 - Prob. 106RCh. 1 - Prob. 107RCh. 1 - Prob. 108RCh. 1 - Prob. 109RCh. 1 - Prob. 110RCh. 1 - Prob. 111RCh. 1 - Prob. 112RCh. 1 - Prob. 113RCh. 1 - Prob. 114RCh. 1 - Prob. 115RCh. 1 - Prob. 116RCh. 1 - Prob. 117RCh. 1 - Prob. 118RCh. 1 - Prob. 119RCh. 1 - Prob. 120RCh. 1 - Prob. 121RCh. 1 - Prob. 122RCh. 1 - Prob. 123RCh. 1 - Prob. 124RCh. 1 - Prob. 125RCh. 1 - Prob. 126RCh. 1 - Prob. 127RCh. 1 - Prob. 128RCh. 1 - Prob. 129RCh. 1 - Prob. 130RCh. 1 - Prob. 131RCh. 1 - Prob. 132RCh. 1 - Prob. 133RCh. 1 - Prob. 134RCh. 1 - Prob. 135RCh. 1 - Prob. 136RCh. 1 - Prob. 137RCh. 1 - Prob. 138RCh. 1 - Prob. 139RCh. 1 - Prob. 140RCh. 1 - Prob. 141RCh. 1 - Prob. 142RCh. 1 - Prob. 143RCh. 1 - Prob. 144RCh. 1 - Prob. 145RCh. 1 - Prob. 146RCh. 1 - Prob. 147RCh. 1 - Prob. 148RCh. 1 - Prob. 149RCh. 1 - Prob. 150RCh. 1 - Prob. 151RCh. 1 - Prob. 152RCh. 1 - Prob. 153RCh. 1 - Prob. 154RCh. 1 - Prob. 155RCh. 1 - Prob. 156RCh. 1 - Prob. 157RCh. 1 - Prob. 158RCh. 1 - Prob. 159RCh. 1 - Prob. 160RCh. 1 - Prob. 161RCh. 1 - Prob. 162RCh. 1 - Prob. 163RCh. 1 - Prob. 164RCh. 1 - Prob. 165RCh. 1 - Prob. 166RCh. 1 - Prob. 167RCh. 1 - Prob. 168RCh. 1 - Prob. 169RCh. 1 - Prob. 170RCh. 1 - Prob. 171RCh. 1 - Prob. 172RCh. 1 - Prob. 173RCh. 1 - Prob. 174RCh. 1 - Prob. 175RCh. 1 - Prob. 176RCh. 1 - Prob. 177RCh. 1 - Prob. 178RCh. 1 - Prob. 179RCh. 1 - Prob. 180RCh. 1 - A manufacturer of drinking glasses ships his...Ch. 1 - Prob. 182RCh. 1 - Prob. 1GRTCh. 1 - Prob. 2GRTCh. 1 - Prob. 3GRTCh. 1 - Prob. 4GRTCh. 1 - Prob. 5GRTCh. 1 - Prob. 6GRTCh. 1 - Prob. 7GRTCh. 1 - Prob. 8GRTCh. 1 - Prob. 9GRTCh. 1 - Prob. 10GRTCh. 1 - Prob. 11GRTCh. 1 - Prob. 12GRTCh. 1 - Prob. 13GRTCh. 1 - Prob. 14GRTCh. 1 - Prob. 15GRTCh. 1 - Prob. 16GRTCh. 1 - Prob. 17GRTCh. 1 - Prob. 18GRTCh. 1 - Prob. 19GRTCh. 1 - Prob. 20GRTCh. 1 - Prob. 1TCh. 1 - Prob. 2TCh. 1 - Prob. 3TCh. 1 - Prob. 4TCh. 1 - Prob. 5TCh. 1 - Prob. 6TCh. 1 - Prob. 7TCh. 1 - Prob. 8TCh. 1 - Prob. 9TCh. 1 - Prob. 10TCh. 1 - Prob. 11TCh. 1 - Prob. 12TCh. 1 - Prob. 13TCh. 1 - Prob. 14TCh. 1 - Prob. 15TCh. 1 - Prob. 16TCh. 1 - Prob. 17TCh. 1 - Prob. 18TCh. 1 - Prob. 19TCh. 1 - Prob. 20TCh. 1 - Prob. 21TCh. 1 - Prob. 22TCh. 1 - Prob. 23TCh. 1 - Prob. 24TCh. 1 - Prob. 25TCh. 1 - Prob. 26TCh. 1 - Solve.
A small business owner recently ordered ...Ch. 1 - Prob. 28TCh. 1 - Prob. 29T
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- 8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward2. Derive the component transformation equations for tensors shown be- low where [C] = [BA] is the direction cosine matrix from frame A to B. B[T] = [C]^[T][C]T 3. The transport theorem for vectors shows that the time derivative can be constructed from two parts: the first is an explicit frame-dependent change of the vector whereas the second is an active rotational change of the vector. The same holds true for tensors. Starting from the previous result, derive a version of transport theorem for tensors. [C] (^[T])[C] = dt d B dt B [T] + [WB/A]B[T] – TWB/A] (10 pt) (7pt)arrow_forwardUse the graph of the function y = f (x) to find the value, if possible. f(x) 8 7 6 Q5 y 3 2 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7 -8+ Olim f(z) x-1+ O Limit does not exist.arrow_forward
- 3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forwardShade the areas givenarrow_forward7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forward
- The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardThe Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forward
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Publisher:Cengage Learning,
ALGEBRAIC EXPRESSIONS & EQUATIONS | GRADE 6; Author: SheenaDoria;https://www.youtube.com/watch?v=fUOdon3y1hU;License: Standard YouTube License, CC-BY
Algebraic Expression And Manipulation For O Level; Author: Maths Solution;https://www.youtube.com/watch?v=MhTyodgnzNM;License: Standard YouTube License, CC-BY
Algebra for Beginners | Basics of Algebra; Author: Geek's Lesson;https://www.youtube.com/watch?v=PVoTRu3p6ug;License: Standard YouTube License, CC-BY
Introduction to Algebra | Algebra for Beginners | Math | LetsTute; Author: Let'stute;https://www.youtube.com/watch?v=VqfeXMinM0U;License: Standard YouTube License, CC-BY