If a teacher measures her mass to an accuracy of better than 0.5 percent, what is the most likely recorded mass?

If a teacher measures her mass to an accuracy of better than 0.5 percent, what is the most likely recorded mass?

• A. 60 kg
• B. 64.3 kg
• C. 600 kg
• D. 643 kg

Answer: (B)

When measuring mass with an accuracy of better than 0.5 percent, we first need to determine the margin of error that this level of precision allows. For any given mass, a 0.5 percent accuracy means that the measurement can vary by up to 0.5 percent of the value. Calculating the margins: - For 60 kg: 0.5% of 60 kg = 0.3 kg - For 64.3 kg: 0.5% of 64.3 kg = 0.3215 kg - For 600 kg: 0.5% of 600 kg = 3 kg - For 643 kg: 0.5% of 643 kg = 3.215 kg Next, we analyze which of these options falls within the bounds of being measured more accurately than 0.5 percent. Taking 64.3 kg as the reference: Considering a margin of +/- 0.3215 kg, the weight could realistically be measured as anywhere from approximately 64.0 kg to 64.6 kg. This range suggests that 64.3 kg is a plausible recorded mass that maintains a high degree of precision. The other

When measuring mass with an accuracy of better than 0.5 percent, we first need to determine the margin of error that this level of precision allows. For any given mass, a 0.5 percent accuracy means that the measurement can vary by up to 0.5 percent of the value.

Calculating the margins:

• For 60 kg: 0.5% of 60 kg = 0.3 kg

• For 64.3 kg: 0.5% of 64.3 kg = 0.3215 kg

• For 600 kg: 0.5% of 600 kg = 3 kg

• For 643 kg: 0.5% of 643 kg = 3.215 kg

Next, we analyze which of these options falls within the bounds of being measured more accurately than 0.5 percent.

Taking 64.3 kg as the reference:

Considering a margin of +/- 0.3215 kg, the weight could realistically be measured as anywhere from approximately 64.0 kg to 64.6 kg. This range suggests that 64.3 kg is a plausible recorded mass that maintains a high degree of precision.

The other