Question

One label on a package of bolts says that each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diameter mus less than 6%. A test on the production line shows a bolt with a diamet 0.37 inch. Determine the percent error and decide if this bolt should ( the package? (round to the nearest hundredths)

Answer 1

The percent error of the bolt is 5.7%, which is less than the maximum allowed percent error of 6%. Therefore, this bolt should be included in the package.

Explanation:

The percent error can be calculated using the formula:

percent error = |(experimental value - accepted value) / accepted value| x 100%

In this case, the accepted value is the diameter of the bolt stated on the label, which is 0.35 inch, and the experimental value is the diameter of the bolt tested on the production line, which is 0.37 inch.

Substituting the values into the formula, we get:

percent error = |(0.37 - 0.35) / 0.35| x 100%

percent error = |0.02 / 0.35| x 100%

percent error = 0.057 x 100%

percent error = 5.7%

The percent error of the bolt is 5.7%, which is less than the maximum allowed percent error of 6%. Therefore, this bolt should be included in the package.

It is important to round off the final answer to the nearest hundredth as specified in the question.