The Monthly Cost C of Running the Machinery in a Factory

question 13

Multiple Choice

The monthly cost C of running the machinery in a factory for t hours is given by​ $C ( t ) = 40 t + 400$ The number of hours t needed to produce x products is given by $t ( x ) = 6 x$ . Find the equation representing the cost C of manufacturing x products.

• A) \(C ( x ) = 46 x + 440\)
• B) \(C ( x ) = 240 x + 16,000\)
• C) \(C ( x ) = 40 x + 406\)
• D) \(C ( x ) = 46 x + 400\)
• E) \(C ( x ) = 240 x + 400\) ​

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Definitions:

Standard Error

A statistical measure that quantifies the accuracy with which a sample mean represents the population mean, often used in inferential statistics.

Null Hypothesis

The default assumption in statistical testing that there is no effect or no difference, aiming to be either rejected or not rejected based on the data analysis.

Z Test

A statistical test used to determine if there is a significant difference between a sample mean and a population mean, assuming data is normally distributed.

Standard Error

Standard error measures the precision of a sample mean estimate of a population mean, indicating how much the sample mean is expected to fluctuate from the true population mean.