This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the calculations for the given mass: The measured mass is 14.5 kg. The measurement is given to one decimal place, so the smallest unit of measurement is 0.1 kg. a) Absolute error Step 1: Calculate the absolute error. The absolute error is half of the smallest unit of measurement. Absolute Error = (1)/(2) × 0.1 kg = 0.05 kg The absolute error is 0.05 kg. b) Percentage error Step 1: Use the formula for percentage error. Percentage Error = Absolute ErrorMeasured Value × 100\% Step 2: Substitute the values and calculate. Percentage Error = 0.05 kg14.5 kg × 100\% Percentage Error = 0.003448 × 100\% Percentage Error ≈ 0.3448\% Rounding to two decimal places, the percentage error is 0.34\%. c) Tolerance Step 1: State the tolerance. Tolerance is the range within which the actual value lies, expressed as the measured value plus or minus the absolute error. Tolerance = Measured Value ± Absolute Error Tolerance = 14.5 kg ± 0.05 kg This means the actual mass is between 14.5 - 0.05 = 14.45 kg and 14.5 + 0.05 = 14.55 kg. The tolerance is 14.5 kg ± 0.05 kg. That's 2 down. 3 left today — send the next one.