Greta is mailing a care package to her little sister at college. After packing the box, she weighs it on her bathroom scale to estimate the mailing cost. The scale shows the package weighing 3 pounds. At the post office, the clerk weighs the package on a more precise scale, and it weighs 3.25 pounds. What is the percent error for Greta's scale's measurement? If necessary, round your answer to the nearest tenth of a percent. ____%

Question

Greta is mailing a care package to her little sister at college. After packing the box, she weighs it on her bathroom scale to estimate the mailing cost. The scale shows the package weighing 3 pounds. At the post office, the clerk weighs the package on a more precise scale, and it weighs 3.25 pounds. What is the percent error for Greta's scale's measurement? If necessary, round your answer to the nearest tenth of a percent.   ____%

Bytelearn · Accepted Answer

Calculate Difference:  Calculate the difference between the two measurements. Difference = Actual weight - Measured weight = 3.25 pounds - 3 pounds = 0.25 pounds. Calculate Percent Error:  Calculate the percent error using the formula: Percent Error = (Difference / Actual weight) × 100. Percent Error = (0.25 / 3.25) × 100 = 7.6923076923076925%. Round Percent Error:  Round the percent error to the nearest tenth. Rounded Percent Error = 7.7%.

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