Simon is expecting a new baby sister. Simon predicts the baby will weigh 6 and one-half pounds at birth. Calculate the percent error of Simon's estimate if the baby's weight at birth is 8 and one-quarter pounds. (1 point
To find the percent error of Simon's estimate, we need to compare his estimate with the actual weight of the baby.
Step 1: Calculate the difference between Simon's estimate and the actual weight of the baby.
Actual weight = 8 and one-quarter pounds = 8.25 pounds
Simon's estimate = 6 and one-half pounds = 6.5 pounds
Difference = Actual weight - Simon's estimate
Difference = 8.25 pounds - 6.5 pounds
Difference = 1.75 pounds
Step 2: Calculate the percent error.
Percent Error = (Difference / Actual weight) * 100
Percent Error = (1.75 pounds / 8.25 pounds) * 100
Percent Error = 0.2121 * 100
Percent Error ≈ 21.21%
Therefore, Simon's estimate has a percent error of approximately 21.21%.
To calculate the percent error, we first need to find the difference between Simon's estimate and the actual weight of the baby.
Simon's estimate: 6 and one-half pounds = 6.5 pounds
Actual weight: 8 and one-quarter pounds = 8.25 pounds
Difference = Actual weight - Simon's estimate = 8.25 - 6.5 = 1.75 pounds
To calculate the percent error, we divide the difference by Simon's estimate and then multiply by 100:
Percent error = (Difference / Simon's estimate) * 100
= (1.75 / 6.5) * 100
= 26.923...
Therefore, the percent error of Simon's estimate is approximately 26.923%.
To calculate the percent error, we will use the formula:
Percent Error = ((|Measured Value - Estimated Value|) / Measured Value) * 100
Simon's estimated weight is 6 and one-half pounds, which is equivalent to 6.5 pounds.
The baby's actual weight at birth is 8 and one-quarter pounds, which is equivalent to 8.25 pounds.
Using the formula, we have:
Percent Error = ((|8.25 - 6.5|) / 8.25) * 100
Calculating the numerator:
|8.25 - 6.5| = 1.75
Calculating the percent error:
Percent Error = (1.75 / 8.25) * 100
Percent Error ≈ 21.21%
Therefore, the percent error of Simon's estimate is approximately 21.21%.