Question

paula was buying candy from a candy dispenser. she inserted a quarter and expected to get 14 pieces of candy. only 10 pieces of candy actually came out of the dispenser. what is the percent error for the number of candy pieces paula expected to get? if necessary, round your answer to the nearest tenth of a percent.

Explanation:

Step1: Find the absolute error

The expected number of candy pieces is 14, and the actual number is 10. The absolute error is the absolute difference between the expected and actual values. So, absolute error = |14 - 10| = 4.

Step2: Calculate the percent error

The formula for percent error is $\text{Percent Error} = \frac{\text{Absolute Error}}{\text{Expected Value}} \times 100\%$. Substituting the values, we get $\text{Percent Error} = \frac{4}{14} \times 100\%$. Calculating this, $\frac{4}{14} \approx 0.2857$, and multiplying by 100 gives approximately 28.57%. Rounding to the nearest tenth of a percent, we get 28.6%.

Answer:

28.6%