Final answer:
Filamba's relative error is 4.17%, Misozi's percentage error is 6.25%, the absolute error for Misozi and Filamba is 0.6 cm and 0.4 cm respectively, and the combined error, if considered as the average of the two absolute errors, is 0.5 cm.
Step-by-step explanation:
The student asked how to calculate Filamba's relative error, Misozi's percentage error, absolute error, and the combined error for their estimated measurements of a line when the true length is known to be 9.6 cm.
- a. Filamba's relative error is calculated as the absolute value of the true value minus the estimated value divided by the true value. In this case, it's |9.6 cm - 10 cm| / 9.6 cm = 0.4 cm / 9.6 cm = 0.041666..., or 4.17% when expressed as a percentage.
- b. Misozi's percentage error is found by taking the absolute value of the true value minus the estimated value, dividing by the true value, and then multiplying by 100. This results in |9.6 cm - 9 cm| / 9.6 cm x 100 = 0.6 cm / 9.6 cm x 100 = 6.25%.
- c. The absolute error of a measurement is the absolute difference between the estimated value and the true value. The absolute error of Misozi's estimate is |9.6 cm - 9 cm| = 0.6 cm, and for Filamba's estimate, it is |9.6 cm - 10 cm| = 0.4 cm.
- d. The combined error would normally refer to a situation where multiple errors affect the outcome of a measurement, but in this case, if we interpret "combined" to mean the average of the two absolute errors, it would be (0.6 cm + 0.4 cm) / 2 = 0.5 cm.