Find the Quotient and Write in Rectangular Form $\frac { 3 i } { - 1 - i \sqrt { 3 } }$

question 8

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { 3 i } { - 1 - i \sqrt { 3 } }$

• A) \(- \frac { 3 \sqrt { 3 } } { 4 } + \frac { 3 } { 4 } \mathrm { i }\)
• B) \(- \frac { 3 \sqrt { 3 } } { 4 } - \frac { 3 } { 4 } \mathrm { i }\)
• C) \(- \frac { 3 } { 4 } - \frac { 3 \sqrt { 3 } } { 4 } \mathrm { i }\)
• D) \(\frac { 3 } { 4 } - \frac { 3 \sqrt { 3 } } { 4 } \mathrm { i }\)

Understand and calculate measures of dispersion (range, variance, standard deviation).

Distinguish and calculate the position and spread measures (quartiles, midrange, interquartile range).

Interpret the characteristics of data distribution (skewness, kurtosis).

Apply empirical rules and understand the distribution of data within standard deviations.

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