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

0.038%
0.038%

−4.00%
negative 4 point 0 0 percent

3.63%
3.63%

3.77%

Answer 1

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

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

In this case:

• Estimated Value (predicted attendees) = 275
• Actual Value (attendees) = 265

Now, plugging in the values:

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

\[ \text{Percent Error} = \left( \frac{10}{275} \right) \times 100 \approx 3.63636% \]

Rounding to the nearest hundredth percent:

\[ \text{Percent Error} \approx 3.64% \]

Thus, the closest response to this calculation from the options provided is:

3.63%