Choose the One Alternative That Best Completes the Statement or Answers

question 5

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.
- $\left( 5 , \frac { 3 \pi } { 4 } \right)$

• A) \(\left( \frac { - 5 \sqrt { 2 } } { 2 } , \frac { 5 \sqrt { 2 } } { 2 } \right)\)
• B) \(\left( \frac { - 5 \sqrt { 2 } } { 2 } , \frac { - 5 \sqrt { 2 } } { 2 } \right)\)
• C) \(\left( \frac { 5 \sqrt { 2 } } { 2 } , \frac { - 5 \sqrt { 2 } } { 2 } \right)\)
• D) \(\left( \frac { 5 \sqrt { 2 } } { 2 } , \frac { 5 \sqrt { 2 } } { 2 } \right)\)

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Definitions:

Weighted Average

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set, assigning weights to some of the numbers more than others.

Expected Value

The predicted value of a variable, calculated as a sum of all possible values each multiplied by the probability of its occurrence.

Unit Of Measure

A standard quantity used in measuring and expressing the quantity of an element, substance, or phenomenon.

Variance

A measure of the dispersion or spread of a set of data points around their mean value; it quantifies the degree to which these points differ from the mean.