Solve Percent Problems with Proportions Quick Check

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Question
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

−4.00%
negative 4 point 0 0 percent

0.038%
0.038%

3.63%
3.63%

3.77%

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

To calculate the percent error in their prediction, we first need to find the difference between the predicted number of attendees (275) and the actual number of attendees (265).

275 - 265 = 10

Next, we need to calculate the percent error by taking the absolute value of the difference (10) divided by the predicted number of attendees (275), and then multiplying by 100 to get the percentage.

(10/275) * 100 = 3.63636363636%

Rounded to the nearest hundredth percent, the percent error in their prediction is 3.63%.

Therefore, the correct response is:

3.63%