Explanation Concept: Weight is the magnitude of how heavy an object is. The units to measure weight that are used most often in the U.S. measurement system are the ounce, the pound, and the tonne. Relation between the units: 16 ounces ( o z ) = 1 pound ( l b ) and 2000 pounds = 1 tonne ( t o n ) . The smallest unit is ounce while the largest unit is tonne. Unit fractions: 16 oz 1 lb = 1 lb 16 oz and 2000 lb 1 ton = 1 ton 2000 lb . In this question two quantities have to be subtracted. Given two numbers, it is possible to subtract one of them from another and their difference is a new number. The difference between two numbers can be calculated, but the result is not equal if the order of the numbers is changed. The condition to maintain while subtracting two numbers is that they must be represented in the same unit. There are two ways of subtraction when the two given numbers are in different yet relatable units. One way is to convert one or both of the numbers into the same unit before performing the operation, while the other way is to consider the relation between the place values and thereafter continue with the operation using the face values. While using the second method, priority should be given to the lower face value. During the operation subtraction, the face values at lowest place value are subtracted. If the place value of the number which is subtracted is more than the number from which the subtraction is performed, one unit of the immediately next higher place value is added to the corresponding face value from which the subtraction is being done and the complete face value is added to it. This creates the concept of “borrowing”. This process is repeated till the highest available place value is utilized. In the given question, the place values are described by the units lb and oz given as below in the decreasing order of their place values: pound (lb) ounce (oz) According to the discussion earlier, subtraction has to be performed first for oz and then for lb . Calculation: The first given number is 45 lb 6 oz with place values of 45 and 6 as 45 lb and 6 oz respectively

Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)

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ISBN: 9780321983503

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 8.5, Problem 34E

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The operation 45 lb 6 oz − 26 lb 10 oz.

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Chapter 8.5, Problem 33E

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Table 5: Measurement Data for Question 9 Part Number Op-1, M-1 Op-1, M-2 | Op-2, M-1 Op-2, M-2 | Op-3, M-1 Op-3, M-2 1 21 20 20 20 19 21 2 24 23 24 24 23 24 3 4 5 6 7 8 9 10 11 21 12 8222332 201 21 20 22 20 22 27 27 28 26 27 28 19 18 19 21 24 21 22 19 17 18 24 23 25 25 23 26 20 20 18 19 17 13 23 25 25 2 3 3 3 3 2 3 18 18 21 21 23 22 24 22 20 19 23 24 25 24 20 21 19 18 25 25 14 24 24 23 25 24 15 29 30 30 28 31 16 26 26 25 26 25 17 20 20 19 20 20 843882388 20 18 25 20 19 25 25 30 27 20 18 19 21 19 19 21 23 19 25 26 25 24 25 25 20 19 19 18 17 19 17 Question 9 A measurement systems experiment involving 20 parts, three operators (Op-1, Op-2, Op-3), and two measure- ments (M-1, M-2) per part is shown in Table 5. (a) Estimate the repeatability and reproducibility of the gauge. (b) What is the estimate of total gauge variability?" (c) If the product specifications are at LSL = 6 and USL 60, what can you say about gauge capability?

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Chapter 8 Solutions

Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)

Ch. 8.1 - Prob. 1CC Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 1VRVC

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To perform: The operation 45 lb 6 oz − 26 lb 10 oz .

To perform: The operation 45 lb 6 oz − 26 lb 10 oz.

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Chapter 8 Solutions

To perform:

The operation 45 lb 6 oz − 26 lb 10 oz.