Use the Binomial Theorem to Expand and Simplify the Expression $( 2 x - 5 y ) ^ { 5 }$

question 40

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( 2 x - 5 y ) ^ { 5 }$ ​

• A) \(32 x ^ { 5 } - 400 x ^ { 4 } y - 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } - 6250 x y ^ { 4 } - 3125\)
• B) \(32 x ^ { 5 } - 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } + 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } + 3125\)
• C) \(32 x ^ { 5 } + 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } - 3125\)
• D) \(32 x ^ { 5 } - 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } - 3125\)
• E) \(32 x ^ { 5 } + 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } + 3125\)

Identify and understand different sleep disorders and their symptoms.

Recognize the impact of substances and medications on sleep quality and patterns.

Describe characteristics and phenomena associated with REM and non-REM sleep.

Understand the psychological significance and interpretation of dreams.

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Definitions:

Standard Error

A statistical measure that describes the accuracy with which a sample represents a population, specifically the variability of sampling distributions.

Test Statistic

A calculated value used to make a decision regarding a hypothesis test; it measures the degree of agreement between a sample data and the null hypothesis.

Sample Proportion

The ratio of members in a statistical sample that have a particular attribute to the total number of members in the sample.

Null Hypothesis

The null hypothesis is a statement used in statistics that proposes there is no significant difference or effect, serving as the starting point for hypothesis testing.