30. On February 1, the temperature at a ski resort in Montana was \( 6^{\circ} \) Fahrenheit. How many degrees Celsius is this temperature?

To convert the temperature from Fahrenheit to Celsius, we can use the formula: \[ \text{Temperature in Celsius} = \frac{5}{9} \times (\text{Temperature in Fahrenheit} - 32) \] Given that the temperature in Fahrenheit is \( 6^{\circ} \), we can substitute this value into the formula to find the temperature in Celsius. Calculate the value by following steps: - step0: Calculate: \(\frac{5}{9}\left(6-32\right)\) - step1: Subtract the numbers: \(\frac{5}{9}\left(-26\right)\) - step2: Multiply the numbers: \(-\frac{5}{9}\times 26\) - step3: Multiply: \(-\frac{5\times 26}{9}\) - step4: Multiply: \(-\frac{130}{9}\) The temperature in Celsius is \( -14.44^{\circ} \) Celsius.