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)

Question

Responses

−4.00%
negative 4 point 0 0 percent

3.63%
3.63%

3.77%
3.77%

0.038% .

Answer 1

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

\[ \text{Percent Error} = \frac{|\text{Predicted Value} - \text{Actual Value}|}{\text{Predicted Value}} \times 100 \]

In this case, the predicted value is 275 (the number of invitations sent), and the actual value is 265 (the number of people committed to attending).

Substituting the values into the formula:

\[ \text{Percent Error} = \frac{|275 - 265|}{275} \times 100 \] \[ = \frac{10}{275} \times 100 \] \[ \approx 3.63636% \]

Rounding this to the nearest hundredth percent gives:

\[ \approx 3.64% \]

Since the percent error is comparing the actual attendance to the prediction, we would typically express this as a negative error because they predicted more attendees than actually committed. Thus, we report:

\[ -3.64% \]

However, since the closest option in your responses does not match exactly, the most relevant response aligned with our calculation is 3.63%.