The biopharm company has developed a stress test for college-aged students. scores on the stress test for such students are approximately normally distributed with a mean of 55 points and a standard deviation of 2 points. scores of 58 points or higher indicate a high level of stress and are of concern to doctors. a random sample of college-aged students will be selected and each will be given this stress test. answer the following questions based on the information given.
(a) what is the probability that the score for the first randomly selected student will be at least 58 points? (show your work)
(b) given that the first randomly selected student has a score of at least 58 points, what is the probability that the next randomly selected student scores below 58 points? (show your work)

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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