Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth.(4 points)

Question

Please be right bot

Answer 1

To calculate Teresa’s percent error in estimating the height of the giraffe, we use the following formula for percent error:

\[ \text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100 \]

Let's plug in the values:

• Estimated Value = 18 feet
• Actual Value = 16 feet

Now, we can calculate the percent error step by step:

1. Calculate the difference between estimated and actual values: \[ \text{Difference} = \text{Estimated Value} - \text{Actual Value} = 18 - 16 = 2 \text{ feet} \]

2. Calculate the percent error: \[ \text{Percent Error} = \left( \frac{2}{16} \right) \times 100 \]

3. Calculate the fraction: \[ \frac{2}{16} = 0.125 \]

4. Multiply by 100 to get the percentage: \[ 0.125 \times 100 = 12.5 \]

So, Teresa's percent error is:

\[ \text{Percent Error} = 12.5% \]

Final answer: 12.5%

Answer 2

What is the absolute difference divided with the actual value

Answer 3

To find the absolute difference divided by the actual value, we proceed as follows:

1. Find the absolute difference between the estimated height and the actual height:

   \[ \text{Absolute Difference} = |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet} \]

2. Divide the absolute difference by the actual value:

   \[ \text{Result} = \frac{\text{Absolute Difference}}{\text{Actual Value}} = \frac{2}{16} \]

3. Calculate the fraction:

   \[ \frac{2}{16} = 0.125 \]

So, the result of the absolute difference divided by the actual value is:

\[ 0.125 \]

If you wish to express this as a percentage, you can multiply by 100:

\[ 0.125 \times 100 = 12.5% \]

Thus, the absolute difference divided by the actual value yields 0.125, which is 12.5% when expressed as a percentage.

Answer 4

What is the absolute difference

Answer 5

The absolute difference between the estimated value and the actual value is calculated using the formula:

\[ \text{Absolute Difference} = |\text{Estimated Value} - \text{Actual Value}| \]

In this case:

• Estimated Value = 18 feet
• Actual Value = 16 feet

Now, calculate the absolute difference:

\[ \text{Absolute Difference} = |18 - 16| = |2| = 2 \text{ feet} \]

So, the absolute difference is 2 feet.

Answer 6

What is the actual value

Answer 7

The actual value in the context of the previous questions is the confirmed height of the giraffe, which is 16 feet.

Answer 8

What is a absolute difference

Answer 9

The absolute difference between two values is defined as the non-negative difference between those values, regardless of their order. It measures how far apart the two values are on a number line without considering direction.

The formula for calculating the absolute difference between two values \(a\) and \(b\) is:

\[ \text{Absolute Difference} = |a - b| \]

Here’s a breakdown:

• \(a\) and \(b\) are the two values you are comparing.
• The vertical bars \(||\) indicate that you are taking the absolute value of the difference, which removes any negative sign, so the result is always non-negative.

Example

If you have two numbers, say \(10\) and \(6\):

1. Calculate the difference: \(10 - 6 = 4\).
2. The absolute difference is: \(|4| = 4\).

If the values are reversed (e.g., \(6\) and \(10\)):

1. Calculate the difference: \(6 - 10 = -4\).
2. The absolute difference is: \(|-4| = 4\).

In both cases, the absolute difference is 4.

In the Context of Previous Questions

For the giraffe's height example:

• Estimated Value: 18 feet
• Actual Value: 16 feet

The absolute difference is:

\[ \text{Absolute Difference} = |18 - 16| = |2| = 2 \text{ feet} \]

So, the absolute difference in this case is 2 feet.

Answer 10

Bot your the best

Answer 11

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