Write the Binomial Expansion of the Expression $$\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$$

question 425

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$$

• A) \(\frac { 1 } { 9 } x ^ { 3 } + \frac { 5 } { 3 } x ^ { 2 } + 125\)
• B) \(\frac { 1 } { 27 } x ^ { 3 } + \frac { 5 } { 3 } x ^ { 2 } + 25 x + 125\)
• C) \(\frac { 1 } { 9 } x ^ { 3 } + \frac { 5 } { 3 } x ^ { 2 } + 25 x + 125\)
• D) \(\frac { 1 } { 27 } x ^ { 6 } + \frac { 10 } { 9 } x ^ { 3 } + 125\)

Learn the strategic writing patterns that help maintain goodwill in negative messaging.

Identify and apply the appropriate beginning and conclusion techniques in negative messages.

Understand the ethical and legal implications in delivering detailed negative messages.

Recognize the role of cultural context in the delivery of negative messages.

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Definitions:

Categorical Variables

Variables that can take on one of a limited and usually fixed number of possible values, representing qualitative data, such as gender or eye color.

Response Variables

Variables that measure the outcome or results of a study, often influenced by one or more factors or treatments.

Log Transformation

A mathematical operation that converts a variable using the logarithm, often used to stabilize the variance or to make the data conform more closely to a normal distribution.

Scatterplots

A type of plot or graphical representation used to display and assess the relationship between two quantitative variables.