Decide Whether the Equation Is an Identity, a Conditional Equation $$3 ( 28 x + 16 ) = 12 ( 5 x + 12 )$$

question 411

Multiple Choice

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
- $$3 ( 28 x + 16 ) = 12 ( 5 x + 12 )$$

• A) Contradiction; \(\varnothing\)
• B) Conditional; \(\{ - 8 \}\)
• C) Conditional; \(\{ 4 \}\)
• D) Identity;{all real numbers}

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Definitions:

Sample Mean

The average of all data points in a sample, used as an estimate of the population mean.

Unbiased Estimators

Statistical estimators whose expected value is equal to the parameter being estimated.

Variance

A measure of the dispersion indicating how much the values in a data set differ from the mean.

Relatively Efficient

Describes a statistical estimator or procedure that has lower variance or better performance compared to others under certain conditions.