ulian 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
3.63%
3.63%
−4.00%
negative 4 point 0 0 percent
0.038%
0.038%
3.77%
To calculate the percent error, we need to find the difference between the predicted number of attendees (275) and the actual number of attendees (265), then divide that difference by the predicted number of attendees (275) and multiply by 100.
Actual number of attendees = 265
Predicted number of attendees = 275
Difference = Predicted number - Actual number
Difference = 275 - 265 = 10
Percent Error = (Difference / Predicted number) * 100
Percent Error = (10 / 275) * 100 ≈ 3.64%
Rounded to the nearest hundredth percent, the percent error in their prediction is 3.63%. Therefore, the correct answer is:
3.63%
To calculate the percent error, you first need to find the difference between the predicted and actual values. In this case, the predicted value is 275 (number of invitations sent) and the actual value is 265 (number of people who committed to attending).
Next, you divide the difference by the predicted value and multiply by 100 to express the error as a percentage.
The calculation would be as follows:
Error = ((Predicted Value - Actual Value) / Predicted Value) * 100
Error = ((275 - 265) / 275) * 100
Error = (10 / 275) * 100
Error = 0.03636 * 100
Error ≈ 3.63%
Therefore, the percent error in their prediction is approximately 3.63%.