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question 83

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Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once.  inverse  common  composition symmetric  exponential  vertical  logarithmic  natural  half-life  horizontal \begin{array} { l l l l } \text { inverse } & \text { common } & \text { composition symmetric } & \text { exponential } \\\text { vertical } & \text { logarithmic } & \text { natural } \quad \text { half-life } & \text { horizontal }\end{array}
-The ______of functions f\mathrm { f } and gg is (fg) (x) =f(g(x) ) ( f \circ g ) ( x ) = f ( g ( x ) ) .

Understand the purpose and application of the chi-square statistic.
Calculate chi-square statistics for given data.
Distinguish between observed and expected frequencies.
Understand the relevance of chi-square tests in assessing the goodness-of-fit.

Definitions:

Marginal Revenue

The additional income received from selling one more unit of a product or service.

Marginal Cost

The extra expense associated with manufacturing an additional unit of a product or service.

ATC

Average Total Cost, which is the sum of all production costs divided by the quantity of output produced.

Short Run

A period in which at least one input is fixed and firms cannot adjust all inputs to production.

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