Performance on Tests A teacher estimates that, of the students who pass a test, 80% will pass the next test, while of the students who fail a test, 50% will pass the next test. Let x and y denote the number of students who pass and fail a given test, and let u and v be the corresponding numbers for the following test.
(a) Write a matrix equation relating
(b) Suppose that 25 of the teacher’s students pass the third test and 8 fail the third test. How many students will pass the fourth test? Approximately how many passed the second test?
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