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
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
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'll use the Percent Error Formula:
\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100\%
\]
### Step 1: Identify the values
- **Estimated Value:** 18 feet (Teresa's estimate)
- **Actual Value:** (We need the actual height from the sign in order to continue. Let's say the actual height is X feet.)
### Step 2: Calculate the absolute error
\[
|\text{Estimated Value} - \text{Actual Value}| = |18 - X|
\]
### Step 3: Calculate the percent error
Using the percent error formula:
\[
\text{Percent Error} = \left( \frac{|18 - X|}{X} \right) \times 100\%
\]
### Step 4: Substitute the actual value
Assuming the actual height of the giraffe is, for example, 15 feet, the calculation would look like this:
1. Calculate the absolute error:
\[
|18 - 15| = 3
\]
2. Substitute into the percent error formula:
\[
\text{Percent Error} = \left( \frac{3}{15} \right) \times 100\%
\]
3. Calculate:
\[
\frac{3}{15} = 0.2
\]
\[
0.2 \times 100\% = 20\%
\]
### Step 5: Round the answer
If the actual height was 15 feet, Teresa's percent error would be **20.0%**.
If you can provide the actual height from the sign at the zoo, I can calculate the exact percent error for you!
\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100\%
\]
### Step 1: Identify the values
- **Estimated Value:** 18 feet (Teresa's estimate)
- **Actual Value:** (We need the actual height from the sign in order to continue. Let's say the actual height is X feet.)
### Step 2: Calculate the absolute error
\[
|\text{Estimated Value} - \text{Actual Value}| = |18 - X|
\]
### Step 3: Calculate the percent error
Using the percent error formula:
\[
\text{Percent Error} = \left( \frac{|18 - X|}{X} \right) \times 100\%
\]
### Step 4: Substitute the actual value
Assuming the actual height of the giraffe is, for example, 15 feet, the calculation would look like this:
1. Calculate the absolute error:
\[
|18 - 15| = 3
\]
2. Substitute into the percent error formula:
\[
\text{Percent Error} = \left( \frac{3}{15} \right) \times 100\%
\]
3. Calculate:
\[
\frac{3}{15} = 0.2
\]
\[
0.2 \times 100\% = 20\%
\]
### Step 5: Round the answer
If the actual height was 15 feet, Teresa's percent error would be **20.0%**.
If you can provide the actual height from the sign at the zoo, I can calculate the exact percent error for you!