Question

The medicinal thermometer commonly used in homes can be read to ±0.1°F, whereas those in the doctor's office may be accurate to ±0.1°C. Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value: Percent Error= [|true value - Experimental value|/true value]x 100%. The vertical lines indicate absolute value. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9°C.

Answer 1

The percent error for measuring a body temperature of 38.9°C is 0.26% for a thermometer accurate to ±0.1°F and 0% for a thermometer accurate to ±0.1°C.

Step-by-step explanation:

The question asks for the percent error expected from two different thermometers in measuring a person's body temperature of 38.9°C. The first thermometer commonly used in homes can be read to ±0.1°F, while the second thermometer in the doctor's office can be accurate to ±0.1°C.

To calculate the percent error, we use the formula: Percent Error = (|true value - Experimental value| / true value) x 100%.

For the first thermometer, the percent error is |38.9°C - 38.9°F| / 38.9°C x 100% = 0.26%. For the second thermometer, the percent error is |38.9°C - 38.9°C| / 38.9°C x 100% = 0%.

Answer 2

the percent error expected from each of theses person's body:

in homes:

% E = 0.14267 %

in doctor's office:

% E = 0.257 %

Step-by-step explanation:

• ° C = ( ° F - 32 ) * (5/9)
• % E = ( | true - exp | / true ) * 100
• body temp = 38.9 ° C = 102.02 ° F

thermometer used in homes:

⇒ T = 102.02 ° F +/- 0.1 ° F = 102.12 ° F ∧ 101,92 ° F

⇒ T = 102.12 ° F = 38.9555 ° C

⇒ % E = ( | 38.9 - 38.9555 | ) / 38.9 ) * 100 = 0.14267 %

in the doctor's oficce:

⇒ T = 38.9 ° C +/- 0.1 ° C = 39 ° C ∧ 38.8 ° C

⇒ % E = (( | 39 - 38.9 | ) / 38.9 ) * 100 = 0.257 %