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30 May, 08:24

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.

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  1. 30 May, 08:36
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    the percent error expected from each of theses person's body:

    in homes:

    % E = 0.14267 %

    in doctor's office:

    % E = 0.257 %

    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 %
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