Solve the Problem Using Matrices $\$ 16.05$ How Many of Each Type of Coin Are There

question 126

Multiple Choice

Solve the problem using matrices.
-John has a jarful of quarters and nickels. There are 101 coins in the jar. The value of the coins is $\$ 16.05$ . How many of each type of coin are there?

• A) 55 quarters; 46 nickels
• B) 60 quarters ; 41 nickels
• C) 46 quarters; 55 nickels
• D) 96 quarters; 5 nickels

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Definitions:

Coefficient Of Variation

A measure of relative variability calculated as the standard deviation divided by the mean, often expressed as a percentage.

Population Standard Deviation

A measure of the dispersion or spread of a set of values in a population, indicating how much variation exists from the average.

Variance

The measure of how far each number in the dataset is from the mean and from each other, indicating the spread of the distribution.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values; a high standard deviation indicates that the values are spread out over a wider range.