Multiply And, If Possible, Simplify $$\frac { x ^ { 2 } } { x ^ { 2 } - 64 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 5 x }$$

question 72

Multiple Choice

Multiply and, if possible, simplify.
- $$\frac { x ^ { 2 } } { x ^ { 2 } - 64 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 5 x }$$

• A) \(\frac { x } { x + 8 }\)
• B) \(\frac { x } { ( x + 8 ) ( x + 5 ) }\)
• C) \(\frac { x ^ { 2 } } { x + 8 }\)
• D) \(\frac { x } { x - 8 }\)

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Definitions:

Finite Population Correction

An adjustment made to the standard formula for calculating sample size and variance when the sample size is a significant fraction of the total population.

Non-normal Probability Distribution

Describes a distribution of data that does not follow the normal distribution pattern, showing skewness or kurtosis different from a bell-shaped curve.

Central Limit Theorem

A fundamental statistical theory stating that, given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.

Synthesis Gas

A mixture of carbon monoxide and hydrogen used as a feedstock for chemical syntheses and as a fuel, commonly known as "syngas."