Question

a digital scale reports a 10 kg weight as weighing 8.975 kg. which of the following is true? a. the scale is neither precise nor accurate. b. the scale is accurate but not precise. c. the scale is precise but not accurate. d. the scale is both accurate and precise.

Explanation:

To determine the scale's precision and accuracy:

• Accuracy: How close a measurement is to the true value. The true weight is 10 kg, and the scale reports 8.975 kg—so it is not accurate (since 8.975 ≠ 10).
• Precision: How consistent/reproducible measurements are (implied by decimal places here). The scale reports to the thousandth of a kg (8.975), showing consistency in measurement (precise).

Thus, the scale is precise (consistent decimal precision) but not accurate (measurement ≠ true value).

Answer:

C. The scale is precise but not accurate.