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A grocery store near Hansen's house had a contest in which customers guessed how many jelly beans were in a glass jug. The closest guess would win a gift card. The actual total was 497497 jelly beans, and Hansen's guess of 496496 jelly beans made him the winner! What is the percent error for Hansen's guess?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%

Full solution

Q. A grocery store near Hansen's house had a contest in which customers guessed how many jelly beans were in a glass jug. The closest guess would win a gift card. The actual total was 497497 jelly beans, and Hansen's guess of 496496 jelly beans made him the winner! What is the percent error for Hansen's guess?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%
  1. Calculate Difference: Calculate the difference between the actual number of jelly beans and Hansen's guess.\newlineDifference = Actual number - Guess\newlineDifference = 497496497 - 496\newlineDifference = 11
  2. Calculate Percent Error: Calculate the percent error using the formula: Percent Error = (DifferenceActual number)×100%(\frac{\text{Difference}}{\text{Actual number}}) \times 100\%.
    Percent Error = (1497)×100%(\frac{1}{497}) \times 100\%
    Percent Error = 0.002012072%0.002012072 \%

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