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Write the Word or Phrase That Best Completes Each Statement D=24[1cos1(tanitanθ)π]\mathrm { D } = 24 \left[ 1 - \frac { \cos ^ { - 1 } ( \tan \mathrm { i } \tan \theta ) } { \pi } \right]

question 143

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The formula
D=24[1cos1(tanitanθ)π]\mathrm { D } = 24 \left[ 1 - \frac { \cos ^ { - 1 } ( \tan \mathrm { i } \tan \theta ) } { \pi } \right]
can be used to approximate the number of hours of daylight when the declination of the sun is ii ^ { \circ } at a location θ\theta ^ { \circ } latitude for any date between the vernal equinox and autumnal equinox. To use this formula, cos1\cos ^ { - 1 } ( tanitanθ\tan i \tan \theta ) must be expressed in radians. Approximate the number of hours of daylight in Flagstaff, Arizona, ( 351335 ^ { \circ } 13 ^ { \prime } north latitude) for summer solstice (i=23.5)\left( \mathrm { i } = 23.5 ^ { \circ } \right) . orth


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A measure of the variability or dispersion of a sampling distribution, often used in the context of mean or proportion estimates.

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