9 2 Please Answer Pt A For Both 1 (87.69 KiB) Viewed 36 times
A mathematics instructor at a large university has determined that a student's probability of success in the pass/fail algebra course is a function of s, n, and a, where s is the student's score on the departmental placement exam, n is the number of semesters of mathematics passed in high school, and a is the student's mathematics SAT score. The instructor estimates that p, the probability of passing the course (in percent), will be p=f(s,n,a)=0.077a+3(sn)1/2 for 200≤a≤800,0≤s≤10, and 0≤n≤8. Assume that this model has some merit. Complete parts a c below. a. If a student scores 6 on the placement exam, has taken 4 semesters of high school math, and has an SAT score of 440 , what is the probability that the student will pass the course? The probability is %. (Round to the nearest percent as needed.)
A weight-loss counselor has prepared a program of diet and exercise for a client that gives the following expected weight loss (in pounds per week), where c is the average daily calorie intake and n is the number of 40 -minute aerobic workouts per week. Weight loss =f(n,c)=203n2−51c+102423 a. How many pounds can the client expect to lose by eating an average of 1175 calories per day and participating in four 40 -minute workouts in a week? The client can expect to lose pounds in a week. (Simplify your answer.)
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