One label on a package of bolts says that each bolt has a diameter of 0.55 inch. To be in the package, the percent error of the diameter must be less than 6 %. A test on the production line shows a bolt with a diameter of 0.52 inch. Should this bolt go into the package?

Question

Mathematics

Danielle

9 November, 18:46

One label on a package of bolts says that each bolt has a diameter of 0.55 inch. To be in the package, the percent error of the diameter must be less than 6 %. A test on the production line shows a bolt with a diameter of 0.52 inch. Should this bolt go into the package?

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Answers (1)

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Adrienne · Answer 1

If the bolt is. 52, it is between. 517 and. 583, so it can go in the package.

Step-by-step explanation:

The first step is to determine what the error amount is

6% of. 55

.06*.55 =.033

The bolt must be within. 033 of. 55

.55 -.033 =.517

.55 +.033 =.583

The bolt must be between. 517 and. 583 inches

If the bolt is. 52, it is between. 517 and. 583, so it can go in the package.