Answer :
To convert the average outside temperature from Fahrenheit to Celsius, you can use the formula:
[tex]\[
\text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9}
\][/tex]
Let's apply this formula step-by-step to the given temperature, 66.9 °F:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[
66.9 - 32 = 34.9
\][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
34.9 \times \frac{5}{9} = 19.388888\ldots
\][/tex]
3. Round the result to 3 significant digits:
[tex]\[
19.388888\ldots \approx 19.389
\][/tex]
Therefore, the average outside temperature in Boston during January, when converted to degrees Celsius, is approximately 19.389 °C.
[tex]\[
\text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9}
\][/tex]
Let's apply this formula step-by-step to the given temperature, 66.9 °F:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[
66.9 - 32 = 34.9
\][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
34.9 \times \frac{5}{9} = 19.388888\ldots
\][/tex]
3. Round the result to 3 significant digits:
[tex]\[
19.388888\ldots \approx 19.389
\][/tex]
Therefore, the average outside temperature in Boston during January, when converted to degrees Celsius, is approximately 19.389 °C.
