SEQUENCE AND SERIES.
A man's weight was measured as 81.5kg and the percentage error is 1.9% . What is the man's actual weight.
To find the man's actual weight, we need to subtract the percentage error from the measured weight.
Percentage error = (error / actual value) * 100
Let's assume the actual weight is x kg.
Given that the percentage error is 1.9%, we can write:
1.9% = (81.5 kg - x kg) / x kg * 100
Converting the percentage to a decimal:
0.019 = (81.5 - x) / x
Cross multiplying:
0.019x = 81.5 - x
0.019x + x = 81.5
1.019x = 81.5
x = 81.5 / 1.019
x ≈ 79.984
Therefore, the man's actual weight is approximately 79.98 kg.
To find the man's actual weight, we can use the formula for calculating percentage error.
Percentage error = (Actual value - Measured value) / Actual value * 100
Let's plug in the given values:
1.9% = (Actual weight - 81.5kg) / Actual weight * 100
Simplifying the equation:
0.019 = (Actual weight - 81.5kg) / Actual weight
Now, we will solve for the actual weight.
0.019 * Actual weight = Actual weight - 81.5kg
0.019 * Actual weight - Actual weight = -81.5kg
(0.019 - 1) * Actual weight = -81.5kg
-0.981 * Actual weight = -81.5kg
Divide both sides by -0.981:
Actual weight = -81.5kg / -0.981
Actual weight ≈ 83.143 kg
Therefore, the man's actual weight is approximately 83.143 kg.
To find the man's actual weight, we need to account for the percentage error. Here are the steps to calculate the actual weight:
Step 1: Calculate the magnitude of the error.
The percentage error is given as 1.9%. To find the magnitude of the error, we multiply the measured weight by the percentage error:
Magnitude of error = (1.9/100) * 81.5kg
Step 2: Determine the direction of the error.
The direction of the error could be positive or negative. To determine the direction, we need more information. If the measured weight is greater than the actual weight, the error is negative. On the other hand, if the measured weight is smaller, the error is positive.
Once we have the magnitude and direction of the error, we can calculate the actual weight.
Step 3: Calculate the actual weight.
If the error is positive, the actual weight would be the measured weight plus the magnitude of the error.
If the error is negative, the actual weight would be the measured weight minus the magnitude of the error.
Using the information provided, we can calculate the magnitude of the error and determine its direction to find the actual weight.