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The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading system 2 assigns % of the final grade to the midterm and % of the final grade to the final.

The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading system 2 assigns % of the final grade to the midterm and % of the final grade to the final.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 1T
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The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading system 2 assigns of the final grade to the midterm and of the final grade to the final.
Transcribed Image Text:The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading system 2 assigns of the final grade to the midterm and of the final grade to the final.
Data table Student 1 Student 2 Student 3 Student 4 Student 5 Midterm 76 80 90 87 60 Final 88 80 84 70 79 Midterm Final System 1 System 2 0.5 0.2 0.5 0.8 X
Transcribed Image Text:Data table Student 1 Student 2 Student 3 Student 4 Student 5 Midterm 76 80 90 87 60 Final 88 80 84 70 79 Midterm Final System 1 System 2 0.5 0.2 0.5 0.8 X
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b. Compute the matrix AB and assign each of the five students a final course grade first using system 1 and then using system 2. (89.5-100=A, 79.5-89.4 = B, 69.5-79.4 = C, 59.5-69.4D, below 59.5 = F) Grade System 1 System 2 Student 1 Student 2 Student 3 Student 4 Student 5 (Type A, B, C, D, or F.)
Transcribed Image Text:b. Compute the matrix AB and assign each of the five students a final course grade first using system 1 and then using system 2. (89.5-100=A, 79.5-89.4 = B, 69.5-79.4 = C, 59.5-69.4D, below 59.5 = F) Grade System 1 System 2 Student 1 Student 2 Student 3 Student 4 Student 5 (Type A, B, C, D, or F.)
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