Concept explainers
To determine the range of possible weight of the roll of nickels and to determine that is it possible for a roll to weigh 201.5 g and contain nickels that do not weigh the official amount.
Answer to Problem 69PPE
Range->
Explanation of Solution
Given: Weigh of a nickel = 5 g , limit of variation in the weight of nickel = 0.194 g , A bank weighs a roll of 40 nickels with a wrapper weight of 1.5 g.
Calculation:
Range of possible weigh of nickel in grams,
Now, range of possible weight of the roll of nickel in grams,
Yes, it is possible for a roll to weigh 201.5 g and contain nickels that do not weigh the official amount. For example in a given roll one nickel weighs 5.1 g and the other 4.9 g and the rest are of official weight , in that case also the weight of the roll of nickel will be 201.5 gram, since average weight of the two nickel which is no of official weigh is 5 g . Hence, the weight of the roll is 201.5 g in this case and it contains two nickels of unofficial weight.
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