Krisha has a chocolate Labrador retriever named Sam. She believes her dog weighs 60 pounds. Sam’s actual weight is 75 pounds. Find the percentage error. Round the answer to the nearest hundredth. tell me step by step bot
1. To find the percentage error, we need to calculate the difference between the believed weight and the actual weight of Sam, and then express that value as a percentage of the actual weight.
2. First, let's calculate the difference between the believed weight and the actual weight:
Actual weight of Sam = 75 pounds
Believed weight of Sam = 60 pounds
Difference = Actual weight - Believed weight
= 75 pounds - 60 pounds
= 15 pounds
3. Next, let's calculate the percentage error using the formula:
Percentage error = (Difference / Actual weight) * 100
Using the values we found above:
Percentage error = (15 pounds / 75 pounds) * 100
4. Now, let's calculate the value inside the parentheses first:
(15 pounds / 75 pounds) = 0.2
Substituting this value into the formula:
Percentage error = 0.2 * 100
5. Finally, let's calculate the percentage error:
Percentage error = 20
Rounded to the nearest hundredth, the percentage error is 20.00%.
To find the percentage error, follow these steps:
Step 1: Subtract the estimated weight from the actual weight:
75 pounds - 60 pounds = 15 pounds
Step 2: Divide the difference by the actual weight:
15 pounds / 75 pounds = 0.2
Step 3: Multiply the result by 100 to find the percentage:
0.2 x 100 = 20
Therefore, the percentage error is 20%.
To find the percentage error, we need to compare the difference between the estimated weight and the actual weight of the dog. Here are the step-by-step instructions:
1. Calculate the difference between the estimated weight and the actual weight:
Estimated weight = 60 pounds
Actual weight = 75 pounds
Difference = Estimated weight - Actual weight = 60 - 75 = -15 pounds
2. Take the absolute value of the difference to disregard the negative sign:
Absolute Difference = |-15 pounds| = 15 pounds
3. Determine the percentage error by dividing the absolute difference by the actual weight and multiplying by 100:
Percentage Error = (Absolute Difference / Actual weight) * 100
= (15 pounds / 75 pounds) * 100
= 0.2 * 100
= 20
4. Round the answer to the nearest hundredth:
Percentage Error = 20%
Therefore, the percentage error between Krisha's estimated weight of 60 pounds and the actual weight of 75 pounds for Sam is 20%.