Asked by optimus
A zookeeper predicted the weight of a new baby elephant to be 272 pounds when it was born. The elephant actually weighed 304 pounds at birth. What was the percent error of the zookeeper's prediction?
A.
32%
B.
10.53%
C.
11.76%
D.
89.47%
A.
32%
B.
10.53%
C.
11.76%
D.
89.47%
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To calculate the percent error, you can use the formula:
\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Actual Value}} \right) \times 100
\]
In this case:
- Actual Value (weight of the baby elephant) = 304 pounds
- Predicted Value (weight predicted by the zookeeper) = 272 pounds
Now plug in the values:
\[
\text{Percent Error} = \left( \frac{304 - 272}{304} \right) \times 100
\]
\[
= \left( \frac{32}{304} \right) \times 100
\]
Now calculate:
\[
\frac{32}{304} \approx 0.105263
\]
Then multiply by 100 to get the percentage:
\[
0.105263 \times 100 \approx 10.53\%
\]
Thus, the percent error of the zookeeper’s prediction is approximately **10.53%**.
The answer is **B. 10.53%**.
\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Actual Value}} \right) \times 100
\]
In this case:
- Actual Value (weight of the baby elephant) = 304 pounds
- Predicted Value (weight predicted by the zookeeper) = 272 pounds
Now plug in the values:
\[
\text{Percent Error} = \left( \frac{304 - 272}{304} \right) \times 100
\]
\[
= \left( \frac{32}{304} \right) \times 100
\]
Now calculate:
\[
\frac{32}{304} \approx 0.105263
\]
Then multiply by 100 to get the percentage:
\[
0.105263 \times 100 \approx 10.53\%
\]
Thus, the percent error of the zookeeper’s prediction is approximately **10.53%**.
The answer is **B. 10.53%**.
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