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Theory Programming Algebra Game Theory 90 80 60 Linear Programming 50 90 50 Matrix Algebra 70 30 90 You have been told that the test will be weighted as follows: game theory: 25%; linear programming: 50%; matrix algebra: 25%. the test? (Round your answer to the nearest (a) If you spend 25% of the night on game theory, 50% on linear programming, and 25% on matrix algebra, what score do you expect to get percent.) % (b) Is it possible to improve on this by altering your study schedule? O Yes, you can improve on this strategy by studying only game theory. O Yes, you can improve on this strategy by studying only linear programming. O Yes, you can improve on this strategy by studying only matrix algebra. O Yes, you can improve on this strategy by using a different mixed strategy. O No, it is not possible to improve on this strategy. If it is possible, what is the highest score you can expect on the test? (If not possible, enter IMPOSSIBLE.) % (c) If your study schedule is according to part (a) and your teacher decides to forget her promises about how the test will be weighted and instead base it all on a single topic, which topic would be worst for you, and what score could you expect on the test? % on the test. tonic would he Select and you could expect to earn

Theory Programming Algebra Game Theory 90 80 60 Linear Programming 50 90 50 Matrix Algebra 70 30 90 You have been told that the test will be weighted as follows: game theory: 25%; linear programming: 50%; matrix algebra: 25%. the test? (Round your answer to the nearest (a) If you spend 25% of the night on game theory, 50% on linear programming, and 25% on matrix algebra, what score do you expect to get percent.) % (b) Is it possible to improve on this by altering your study schedule? O Yes, you can improve on this strategy by studying only game theory. O Yes, you can improve on this strategy by studying only linear programming. O Yes, you can improve on this strategy by studying only matrix algebra. O Yes, you can improve on this strategy by using a different mixed strategy. O No, it is not possible to improve on this strategy. If it is possible, what is the highest score you can expect on the test? (If not possible, enter IMPOSSIBLE.) % (c) If your study schedule is according to part (a) and your teacher decides to forget her promises about how the test will be weighted and instead base it all on a single topic, which topic would be worst for you, and what score could you expect on the test? % on the test. tonic would he Select and you could expect to earn

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
ChapterA: Appendices
SectionA.1: Algebraic Expressions
Problem 1E: Name the four parts of a mathematical system. HINT: See Section 1.3
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Study techniques Your mathematics test is tomorrow and will cover the following topics: game theory, linear programming, and matrix algebra. You have decided to do an "all-nighter" and must determine how to allocate your 8 hours of study time among the three topics. If you were to spend the entire 8 hours on any one of these topics (thus using a pure strategy), you feel confident that you would earn a 90% score on that portion of the test but would not do so well on the other topics. You have come up with the following table, where the entries are your expected scores. (The fact that linear programming and matrix algebra are used in game theory is reflected in these numbers.) Test Game Linear Matrix Your Strategies Theory Programming Algebra Game Theory 90 80 60 Linear Programming 50 90 50 Matrix Algebra 70 30 90 You have been told that the test will be weighted as follows: game theory: 25%; linear programming: 50%; matrix algebra: 25%. (a) If you spend 25% of the night on game theory, 50% on linear programming, and 25% on matrix algebra, what score do you expect to get on the test? (Round your answer to the nearest percent.) % (b) Is it possible to improve on this by altering your study schedule? Yes, you can improve on this strategy by studying only game theory. Yes, you can improve on this strategy by studying only linear programming. Yes, you can improve on this strategy by studying only matrix algebra. Yes, you can improve on this strategy by using a different mixed strategy. No, it is not possible to improve on this strategy. If it is possible, what is the highest score you can expect on the test? (If not possible, enter IMPOSSIBLE.) % (c) If your study schedule is according to part (a) and your teacher decides to forget her promises about how the test will be weighted and instead base it all on a single topic, which topic would be worst for you, and what score could you expect on the test? and you could expect to earn % on the test. The worst topic would be ---Select---
Transcribed Image Text:Study techniques Your mathematics test is tomorrow and will cover the following topics: game theory, linear programming, and matrix algebra. You have decided to do an "all-nighter" and must determine how to allocate your 8 hours of study time among the three topics. If you were to spend the entire 8 hours on any one of these topics (thus using a pure strategy), you feel confident that you would earn a 90% score on that portion of the test but would not do so well on the other topics. You have come up with the following table, where the entries are your expected scores. (The fact that linear programming and matrix algebra are used in game theory is reflected in these numbers.) Test Game Linear Matrix Your Strategies Theory Programming Algebra Game Theory 90 80 60 Linear Programming 50 90 50 Matrix Algebra 70 30 90 You have been told that the test will be weighted as follows: game theory: 25%; linear programming: 50%; matrix algebra: 25%. (a) If you spend 25% of the night on game theory, 50% on linear programming, and 25% on matrix algebra, what score do you expect to get on the test? (Round your answer to the nearest percent.) % (b) Is it possible to improve on this by altering your study schedule? Yes, you can improve on this strategy by studying only game theory. Yes, you can improve on this strategy by studying only linear programming. Yes, you can improve on this strategy by studying only matrix algebra. Yes, you can improve on this strategy by using a different mixed strategy. No, it is not possible to improve on this strategy. If it is possible, what is the highest score you can expect on the test? (If not possible, enter IMPOSSIBLE.) % (c) If your study schedule is according to part (a) and your teacher decides to forget her promises about how the test will be weighted and instead base it all on a single topic, which topic would be worst for you, and what score could you expect on the test? and you could expect to earn % on the test. The worst topic would be ---Select---
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