Question

The temperature today in Chicago is 50°E

Answer 1

Error = (10-9)°C & Error percentage = 10%.

Given that temperature today in Chicago is 50°F

Standard conversion formula

°C = $\frac{5}{9} *(T^{0}F-32)$   - 1

Given T = 50°F

Put the value in equation 1

$^{0}C = \frac{5}{9} *(50-32) \\\\= \frac{5}{9}*18\\ \\= \frac{90}{9}$

= 10°C

Tommasa's grandmothers rule is to subtract 32 from the value in °F and multiply the result by 0.5

i.e. $^{0}C = 0.5(T^{0} F-32)$   - 2

Given temperature is T = 50°F

Put the value of T in equation 2

$^{0}C = 0.5*(50-32)$

= 0.5 * 18

= 1/2 * 18

= 9°C

Temperature obtained by standard conversion Formula is 10°C and the temperature obtained by Tammaso's grandmother rule is 9°C.

So error = (10-9)°C

= 1°C

Error percentage = $\frac{1}{10}*100$

= 10%

Hence the answer is Error = (10-9)°C & Error percentage = 10%.

To learn more about temperature conversion click here brainly.com/question/26141817

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