Solve the Problem $\mathrm { T } ( \mathrm { x } ) = 40 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 46$

question 163

Multiple Choice

Solve the problem.
-The temperature in Verlander is modeled by $\mathrm { T } ( \mathrm { x } ) = 40 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 46$ where $\mathrm { T } ( \mathrm { x } )$ is the temperature in degrees Fahrenheit on day $x$ , with $x = 1$ representing January 1 and $x = 365$ representing December 31. Find the temperature on May 20 .

• A) \(83 ^ { \circ } \mathrm { F }\)
• B) \(64 { } ^ { \circ } \mathrm { F }\)
• C) \(72 ^ { \circ } \mathrm { F }\)
• D) \(70 ^ { \circ } \mathrm { F }\)

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Definitions:

Confidence Interval

A span of values, taken from sample statistics, seen as likely to encase the value of an unidentified population parameter.

Confidence Level

The probability, expressed as a percentage, that a parameter lies within a specified range of values (confidence interval).

Population Mean

The average value of a property in a population.

Confidence Interval

A range of values, derived from the sample data, that is likely to contain the value of an unknown population parameter, with a certain degree of confidence.