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%
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), and then divide that difference by the predicted number of attendees:
Difference = Predicted number of attendees - Actual number of attendees = 275 - 265 = 10
Percent Error = (Difference / Predicted number of attendees) * 100
Percent Error = (10 / 275) * 100 = 0.03818...
Rounding to the nearest hundredth percent, the percent error is 0.04%.
Therefore, the correct answer is:
0.04%
To calculate the percent error, we first need to calculate the difference between the predicted number of attendees and the actual number of attendees:
Predicted attendees: 275
Actual attendees: 265
Difference = Predicted - Actual
Difference = 275 - 265
Difference = 10
Now, we can calculate the percent error:
Percent error = (Difference / Predicted attendees) * 100
Percent error = (10 / 275) * 100
Percent error ≈ 3.64%
Rounded to the nearest hundredth percent, the percent error is 3.64%. Therefore, the correct answer is 3.63%.
To calculate the percent error in their prediction, follow these steps:
1. Find the absolute difference between the predicted number of attendees and the actual number of attendees. In this case, the predicted number of attendees is 275 and the actual number of attendees is 265. So, the absolute difference is |275 - 265| = 10.
2. Divide the absolute difference by the predicted number of attendees and multiply it by 100 to get the percent error. In this case, (10 / 275) * 100 ≈ 3.64.
3. Rounded to the nearest hundredth percent, the percent error is 3.64%.