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
Responses
3.63%
0.038%
3.77%
-4.00%
use responses to answer
The percent error can be calculated by finding the difference between the predicted value and the actual value, dividing that by the actual value, and then multiplying by 100.
Predicted value: 275
Actual value: 265
Difference: 275 - 265 = 10
Percent error = (10/265) * 100 = 3.77%
Therefore, the correct answer is 3.77% (option C).
To calculate the percent error in their prediction, we need to find the difference between the predicted number of attendees and the actual number of attendees, and then divide it by the predicted number and multiply by 100.
The predicted number of attendees is 275, and the actual number of attendees is 265.
Difference = Predicted number - Actual number
Difference = 275 - 265 = 10
Percent Error = (Difference / Predicted number) * 100
Percent Error = (10 / 275) * 100 ≈ 3.63%
Therefore, the correct answer is 3.63%.
To calculate the percent error, we need to find the difference between the predicted number of attendees and the actual number of attendees, and then divide that difference by the predicted number of attendees. Finally, we multiply the result by 100 to convert it to a percentage.
1. Find the difference between the predicted number of attendees (275) and the actual number of attendees (265): 275 - 265 = 10.
2. Divide the difference by the predicted number of attendees: 10 / 275 = 0.03636363636 (rounded to 10 decimal places).
3. Multiply the result by 100 to get the percent error: 0.03636363636 * 100 = 3.636363636 (rounded to 10 decimal places).
Therefore, the percent error in their prediction is approximately 3.64%.
None of the provided responses match this calculation exactly. However, the closest option is "3.63%" which is rounded to two decimal places, so that would be the most appropriate response.