jobathan measured a line to be 14.5 inches long. If the actual length of the line is 14.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error can be calculated using the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100
Using the given values:
Measured Value = 14.5 inches
Actual Value = 14.7 inches
Percent Error = (|14.5 - 14.7| / 14.7) * 100
Percent Error ≈ (0.2 / 14.7) * 100
Percent Error ≈ 0.0136 * 100
Percent Error ≈ 1.36%
Rounded to the nearest tenth of a percent, the percent error is approximately 1.4%.