Find the Specified Nth Term in the Expansion of the Binomial.​

question 12

Multiple Choice

Find the specified nth term in the expansion of the binomial.​ $( 4 a + 5 b ) ^ { 5 } , n = 5$ ​

• A) \(12,500 a b ^ { 4 }\)
• B) \(12,500 a b\)
• C) \(12,500 a ^ { 4 } b\)
• D) \(12,500 a ^ { 4 } b ^ { 4 }\)
• E) \(12,500 a ^ { 5 } b ^ { 5 }\)

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Definitions:

Interaction Effect

In statistics, the effect that an independent variable has on the outcome variable depends on or varies according to the levels of one or more other independent variables.

F-Ratio

A statistical value used to compare variances in ANOVA tests, determining if there are significant differences between group means.

Research Hypothesis

A proposed explanation or prediction about a relationship that can be tested through study and experimentation.

Null Hypothesis

A statistical hypothesis that assumes no significant difference exists in a particular condition or feature between two or more sets of data.