Final answer:
The percent uncertainty of a measurement of 0.445 kg with an uncertainty of a triple-beam balance of 0.05 g is approximately 0.0112%, which rounds off to 0.011% (option a).
Step-by-step explanation:
To calculate the percent uncertainty of a measurement using a triple-beam balance, you need to compare the uncertainty to the measurement itself. The uncertainty of the balance is 0.05 g, while the measurement is 0.445 kg, which is equivalent to 445 g.
The formula to find the percent uncertainty is:
Percent Uncertainty = (Uncertainty / Measurement) × 100%
Inserting the values:
Percent Uncertainty = (0.05 g / 445 g) × 100% ≈ 0.0112%
This means the correct answer is: