for the pair of measurements, state which one is more accurate and which one is more precise. your true…

for the pair of measurements, state which one is more accurate and which one is more precise. your true height is 69.10 inches. a tape measure that can read to the nearest 1/4 inch gives your height as 69 3/4 inches. a new laser device at the doctors office that gives readings to the nearest 0.02 inch gives your height as 68.98 inches. choose the correct answer below. a. the tape measure is more accurate and the laser device is more precise. b. the laser device is more accurate and the tape measure is more precise. c. the laser device is both more accurate and more precise. d. the tape measure is both more accurate and more precise.

for the pair of measurements, state which one is more accurate and which one is more precise. your true height is 69.10 inches. a tape measure that can read to the nearest 1/4 inch gives your height as 69 3/4 inches. a new laser device at the doctors office that gives readings to the nearest 0.02 inch gives your height as 68.98 inches. choose the correct answer below. a. the tape measure is more accurate and the laser device is more precise. b. the laser device is more accurate and the tape measure is more precise. c. the laser device is both more accurate and more precise. d. the tape measure is both more accurate and more precise.

Answer

Explanation:

Step1: Calculate error of tape measure

The tape - measure gives a height of $69\frac{3}{4}=69.75$ inches. The true height is 69.10 inches. The error of the tape measure is $|69.75 - 69.10|= 0.65$ inches.

Step2: Calculate error of laser device

The laser device gives a height of 68.98 inches. The true height is 69.10 inches. The error of the laser device is $|68.98 - 69.10| = 0.12$ inches. Since $0.12<0.65$, the laser device is more accurate.

Step3: Analyze precision

The tape measure can read to the nearest $\frac{1}{4}=0.25$ inch. The laser device can read to the nearest 0.02 inch. Since 0.02 < 0.25, the laser device is more precise.

Answer:

C. The laser device is both more accurate and more precise.