Simplify Write Your Answers in the Form of A+bi, Where $$\frac { 1 + 2 i } { ( 1 - 2 i ) ^ { 2 } }$$

question 17

Multiple Choice

Simplify. Write your answers in the form of a+bi, where a and b are real numbers.
- $$\frac { 1 + 2 i } { ( 1 - 2 i ) ^ { 2 } }$$

• A) \(- \frac { 11 } { 25 } - \frac { 1 } { 5 } \mathrm { i }\)
• B) \(\frac { 1 } { 25 } + \frac { 6 } { 25 }\) i
• C) \(- \frac { 11 } { 25 } + \frac { 14 } { 25 } \mathrm { i }\)
• D) \(- \frac { 11 } { 25 } - \frac { 2 } { 25 } \mathrm { i }\)

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Definitions:

Spearman Rank-Correlation

A nonparametric measure of correlation that assesses how well the relationship between two variables can be described using a monotonic function, based on ranked values.

Linear Way

Refers to a direct and straightforward approach or method that progresses continuously from one point to the next.

Spearman Correlation

A non-parametric measure of rank correlation that assesses how well the relationship between two variables can be described using a monotonic function.

Data Ranks

A method of placing data elements in ascending or descending order, based on their value or position in a distribution.