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16 July, 11:50

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's actual height is 4 feet, 2 inches.

What was the error, expressed in inches?

What was the error, expressed as a percentage of the actual height?

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  1. 16 July, 14:14
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    Her error in terms of inches was 2 inches while her percent error was 4.166%

    Step-by-step explanation:

    Step 1; From the given data Claire estimated her brother to be shorter than he actually was. She estimated his height to be 4 feet while it was actually 4 feet 2 inches.

    We convert the feet into inches because 12 inches are equal to a feet.

    4 feet = 4 * 12 inches = 48 inches

    4 feet 2 inches = (4 * 12 inches) + 2 inches = 48 + 2 = 50 inches

    Error in terms of inches = 50 inches - 48 inches = 2 inches.

    Step 2; Her percent error is given by dividing the difference in values by the actual value multiplied by 100.

    % error = (difference in values / actual value) * 100

    Claire's % error = (50 - 48) / 48 * 100 = 2/48 * 100 = 0.04166 * 100 = 4.166%.
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