Expand the Expression Using the Binomial Theorem $$( x - 7 ) ^ { 5 }$$

question 150

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( x - 7 ) ^ { 5 }$$

• A) \(x ^ { 5 } - 35 x ^ { 4 } + 980 x ^ { 3 } - 6,860 x ^ { 2 } + 12,005 x - 16,807\)
• B) \(x ^ { 5 } - 35 x ^ { 4 } + 490 x ^ { 3 } - 3,430 x ^ { 2 } + 12,005 x - 7\)
• C) \(x ^ { 5 } - 35 x ^ { 4 } + 490 x ^ { 3 } - 3,430 x ^ { 2 } + 12,005 x - 16,807\)
• D) \(x ^ { 5 } - 35 x ^ { 4 } + 980 x ^ { 3 } - 6,860 x ^ { 2 } + 12,005 x - 7\)

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Definitions:

Population Parameters

Characteristics or measures that describe aspects of a population, such as its mean, variance, or standard deviation.

Wilcoxon Rank-sum Test

A non-parametric statistical test used to compare two independent samples to determine if they come from the same distribution.

Independent Samples

Two or more groups of samples that are not related or connected in any way in the context of an experiment or study.

Relative Frequency Distributions

A distribution where each value is expressed as a relative frequency or proportion of the total number of occurrences.