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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aristocles aristocles · Answer 1 · 2019-10-14T03:58:21+02:00

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]