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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.​)

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Answer:

[tex]T = 15 \pm 3.89 ^oC[/tex]

Explanation:

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

[tex]C = \frac{5}{9}(F - 32)[/tex]

so we have

[tex]T = 59 ^o F[/tex]

so we have

[tex]T = \frac{5}{9}(59 - 32)[/tex]

[tex]T = 15^o C[/tex]

now the uncertainty in temperature is given as

[tex]\Delta C = \frac{5}{9}(\Delta F)[/tex]

so we have

[tex]\Delta T = \frac{5}{9}(7)[/tex]

[tex]\Delta T = 3.89 ^o C[/tex]

so the temperature is given as

[tex]T = 15 \pm 3.89 ^oC[/tex]

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