Use an Inverse Matrix to Find the Solution to the System

question 175

Multiple Choice

Use an inverse matrix to find the solution to the system.
-Suppose that in a certain city, the Democratic, Republican, and Independent parties always nominate candidates mayor. It turns out that the percent of people voting for each party candidate in the next election depends on the that voted for that party in the last election. The percent voting for each party in the next election is given by
$$\left[ \begin{array} { l } \mathrm { D } \\\mathrm { R } \\\mathrm { I }\end{array} \right] = \left[ \begin{array} { l l l } 60 & 20 & 30 \\30 & 60 & 30 \\10 & 20 & 40\end{array} \right] \left[ \begin{array} { l } \mathrm { d } \\\mathrm { r } \\\mathrm { i }\end{array} \right]$$
where $\mathrm { d } , \mathrm { r }$ , and $\mathrm { i }$ are the respective percents (in decimals) that voted for that party in the last election. If the perce voting for a Democrat in the next election is $41 \%$ , the percent voting for a Republican in the next election is $42 \%$ , and the percent voting for the Independent party in the next election is $17 \%$ , then what percent of people voted for an Independent in the last election?

• A) 40%
• B) 50%
• C) 10%
• D) 25%

Describe the concept of ethical intensity and its determinants, facilitating improved ethical decision-making.

Identify and analyze the key factors that influence the magnitude of consequences in ethical decision-making.

Explore the relationship between ethical principles and decision-making, including various approaches to balancing interests.

Recognize the impact of organizational culture on ethics and diversity.

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Definitions:

Frequency Distribution

A summary of how often each value in a set of data occurs, typically presented in a table or graphically as a histogram.

SAT Math Scores

Quantitative data reflecting individuals’ performance on the mathematics section of the SAT examination.

Frequency Distribution

A summary of how often different values occur within a dataset, often represented in a table or graph.

Students

Individuals engaged in learning at educational institutions.