Julian and Brittany mailed 275 wedding invitations to family and friends and predicted that they would all attend. Only 265 out of 275 people committed to attending the wedding. Calculate the percent error in their prediction. Round your answer to the nearest hundredth percent.(1 point)

Responses

3.77%
3.77%

0.038%
0.038%

3.63%
3.63%

−4.00%
negative 4 point 0 0 percent
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1 answer

To calculate the percent error in Julian and Brittany's prediction, we can use the following formula:

\[ \text{Percent Error} = \left( \frac{\text{Predicted Value} - \text{Actual Value}}{\text{Predicted Value}} \right) \times 100 \]

In this case, the predicted value is 275 (the number of invitations mailed) and the actual value is 265 (the number of people committing to attend).

Now, substituting the values into the formula:

\[ \text{Percent Error} = \left( \frac{275 - 265}{275} \right) \times 100 \]

Calculating the numerator:

\[ 275 - 265 = 10 \]

Now, substituting it back into the formula:

\[ \text{Percent Error} = \left( \frac{10}{275} \right) \times 100 \]

Calculating the fraction:

\[ \frac{10}{275} \approx 0.03636 \]

Now convert this to a percentage:

\[ 0.03636 \times 100 \approx 3.63636 \]

Rounding to the nearest hundredth gives:

\[ 3.64% \]

Thus, the correct percent error calculation is approximately:

\[ 3.64% \]

However, looking at the listed options, it appears there might be a discrepancy. The closest appropriate value based on the calculations would be 3.63%.

Thus, the final answer is:

3.63%