Question

In April​, ​Seattle's daily high temperature has a mean of 59degreesF and a standard deviation of 7degreesF. The formula to convert degrees Fahrenheit degreesF to degrees Celsius degreesC ​is: Superscript o Baseline Upper C equals five ninths (Superscript o Baseline Upper F minus 32 )Use this information to answer the following questions. Compute the mean of​ Seattle's daily high temperature in degrees Celsius degreesC. The mean of the daily high temperature in degrees Celcius​ = nothingdegreesC ​(Round your response to three decimal place.​)

Answer 1

To convert the mean daily high temperature in Seattle for April from Fahrenheit to Celsius, use the formula °C = 5/9 (°F - 32), which results in approximately 15.000°C when converted from 59°F.

Step-by-step explanation:

To compute the mean of Seattle's daily high temperature in degrees Celsius, we need to apply the given formula for converting degrees Fahrenheit (°F) to degrees Celsius (°C), which is °C = 5/9 (°F - 32).

The given mean temperature in Seattle for April is 59°F. Plugging this into our formula gives us:

Mean °C = 5/9 (59°F - 32) = 5/9 (27) ≈ 15.000°C

Therefore, the daily high temperature mean in Seattle for April, rounded to three decimal places in Celsius, is approximately 15.000°C.

Answer 2

`T = 15 \pm 3.89 ^oC`

Step-by-step explanation:

As we know that the equation to convert Fahrenheit to Celcius we have

`C = (5)/(9)(F - 32)`

so we have

`T = 59 ^o F`

so we have

`T = (5)/(9)(59 - 32)`

`T = 15^o C`

now the uncertainty in temperature is given as

`\Delta C = (5)/(9)(\Delta F)`

so we have

`\Delta T = (5)/(9)(7)`

`\Delta T = 3.89 ^o C`

so the temperature is given as

`T = 15 \pm 3.89 ^oC`