Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 4 - Section 4.7 - Relative Error and Percent of Error - Exercise - Page 191: 18

Answer

1 oz, 0.5 oz, 0.00649, 0.65 %

Work Step by Step

For the given measurement, we have The precision is 1 oz The greatest possible error is one-half the precision $0.5\cdot 1\ in=0. 5 \ oz$ The relative error is $relative~error=\dfrac{greatest~possible~error}{measurement}$ $\frac{0.5\ oz }{4\ lb \ 13\ oz }=\frac{0.5\ in}{77\ in}=0.00649$, (we used the fact $1 lb =16 oz$) The percent of error is $0.65\%$
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