Final answer:
The acceptable weight range for a 5-milligram measuring weight with a tolerance of ±0.17 milligram is between 4.83 milligrams and 5.17 milligrams.
Step-by-step explanation:
The tolerance for a 5-milligram measuring weight in Florida is ±0.17 milligrams. This means the weight can be slightly more or less than the nominal value, but still within the defined tolerance range. To determine the acceptable weight range that meets the tolerance, we add and subtract the tolerance value from the nominal value. Therefore, the lower limit of the tolerance is 5 milligrams - 0.17 milligrams, and the upper limit is 5 milligrams + 0.17 milligrams.
Lower limit = 5 mg - 0.17 mg = 4.83 mg
Upper limit = 5 mg + 0.17 mg = 5.17 mg
Thus, any 5-milligram measuring weight that registers between 4.83 milligrams and 5.17 milligrams meets the defined tolerance of ±0.17 milligrams.