Correct question is;
The medical thermometer commonly used in homes can be read +/-0.1 °F, whereas those in the doctor's office may be accurate to +/- 0.1 C 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:
A) percent error in homes = 0.144 %
B) percent error in doctors office = 0.257 %
Step-by-step explanation:
A) Temperature is 38.9° C
Converting to Fahrenheit using the formula; (°C × 9/5) + 32
So;
(38.9°C × 9/5) + 32 = 102.02 °F
Since thermometer in homes can be read to +/-0.1 °F, then
Expected values = 102.02 +/- 0.1 = 102.12 °F or 101.92 °F
Since we want to find the error from °C, let's convert to °C.
We will use 101.92 °F.
Thus; 102.12 °F = (101.92 - 32) × 5/9 = 38.844 °C
Thus percent error = (38.9 - 38.844)/38.9) × 100% = 0.144 %
B) Temperature is 38.9 °C
Since thermometer in Doctors office can be +/- 0.1 °C, then;
Expected values = 38.9 +/- 0.1 = 38.8 °C or 39 °C.
We will use 38.8°C
Thus;
percent error = (38.9 - 38.8)/38.9) × 100% = 0.257 %
