Solve the Problem Using Matrices $2 .$ A) System 1: 85; System 2: 83
B) System 1

question 87

Multiple Choice

Solve the problem using matrices.
-The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices.

Find the final course score for Student 3 for both grading System 1 and System $2 .$

• A) System 1: 85; System 2: 83
• B) System 1: 67.4; System 2: \(98.6\)
• C) System 1: 77.2; System 2: 76
• D) System 1: 44.2; System 2: 53

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Definitions:

Uncertain Inputs

Variables in a model or decision-making process whose values are not known with certainty, often requiring risk analysis or simulation to manage.

Assumptions

Foundational ideas accepted as true without proof, used as the basis for reasoning or argument.

Crystal Ball

A predictive analytics software offering risk analysis, simulation, and forecasting functionalities, often used for project management and financial forecasting.

Monte Carlo Simulation

A computational technique that uses random sampling to approximate the probability of various outcomes in a process.