Expand a Binomial Raised to a Power
- $$( x + 3 y ) ^ { 6 }$$

question 19

Multiple Choice

Expand a Binomial Raised to a Power
- $$( x + 3 y ) ^ { 6 }$$

• A) \(x ^ { 6 } + 18 x ^ { 5 } y + 135 x ^ { 4 } y ^ { 2 } + 540 x ^ { 3 } y ^ { 3 } + 1215 x ^ { 2 } y ^ { 4 } + 1458 x y ^ { 5 } + 729 y ^ { 6 }\)
• B) \(x ^ { 6 } + 18 x ^ { 5 } y + 108 x ^ { 4 } y ^ { 2 } + 486 x ^ { 3 } y ^ { 3 } + 972 x ^ { 2 } y ^ { 4 } + 1458 x y ^ { 5 } + 729 y ^ { 6 }\)
• C) \(x ^ { 6 } + 18 x ^ { 5 } y + 729 x ^ { 4 } y ^ { 2 } + 60 x ^ { 3 } y ^ { 3 } + 729 x ^ { 2 } y ^ { 4 } + 18 x y ^ { 5 } + 3 y ^ { 6 }\)
• D) \(x ^ { 6 } + 18 x ^ { 5 } y + 36 x ^ { 4 } y ^ { 2 } + 54 x ^ { 3 } y ^ { 3 } + 36 x ^ { 2 } y ^ { 4 } + 18 x y ^ { 5 } + 3 y ^ { 6 }\)

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Definitions:

Standard Distribution

Often refers to a probability distribution that is used to represent the dispersion of a set of data around its mean, typically assumed to be a normal distribution.

Monte Carlo Simulation

A computational algorithm that uses repeated random sampling to obtain numerical results, often used to model the probability of different outcomes in a process that cannot easily be predicted due to the intervention of random variables.

Demand During Lead Time

The total customer demand for a product during the period it takes to reorder and receive a new supply.

Random Number Intervals

A sequence or range of numbers generated in such a way that each possible number is equally likely to occur, often used in simulations and statistical sampling.