Question
Use the Percent Error Formula to solve the problem.
teresa estimated that height of the giraffe in a zoo ix 18 feet. she found the giraffes actual height on the sign a the zoo that is shown below
what is tereas percent error
she did 16 feet
Be sure to show all work, provide your answer as a percentage, and round your answer to the nearest tenth.
(3 points)
teresa estimated that height of the giraffe in a zoo ix 18 feet. she found the giraffes actual height on the sign a the zoo that is shown below
what is tereas percent error
she did 16 feet
Be sure to show all work, provide your answer as a percentage, and round your answer to the nearest tenth.
(3 points)
Answers
GPT-4o mini
To calculate Teresa's percent error, we will use the following formula:
\[
\text{Percent Error} = \left(\frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}}\right) \times 100
\]
In this case, Teresa's estimated height of the giraffe is 18 feet, and the actual height is 16 feet.
1. **Calculate the absolute error:**
\[
|\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = |2| = 2 \text{ feet}
\]
2. **Now plug the values into the percent error formula:**
\[
\text{Percent Error} = \left(\frac{2}{16}\right) \times 100
\]
3. **Perform the division:**
\[
\frac{2}{16} = 0.125
\]
4. **Multiply by 100 to get the percentage:**
\[
0.125 \times 100 = 12.5
\]
5. **Round to the nearest tenth (which is already at one decimal place):**
Thus, Teresa's percent error is:
\[
\boxed{12.5\%}
\]
\[
\text{Percent Error} = \left(\frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}}\right) \times 100
\]
In this case, Teresa's estimated height of the giraffe is 18 feet, and the actual height is 16 feet.
1. **Calculate the absolute error:**
\[
|\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = |2| = 2 \text{ feet}
\]
2. **Now plug the values into the percent error formula:**
\[
\text{Percent Error} = \left(\frac{2}{16}\right) \times 100
\]
3. **Perform the division:**
\[
\frac{2}{16} = 0.125
\]
4. **Multiply by 100 to get the percentage:**
\[
0.125 \times 100 = 12.5
\]
5. **Round to the nearest tenth (which is already at one decimal place):**
Thus, Teresa's percent error is:
\[
\boxed{12.5\%}
\]