An exam was given to a group of freshman and sophomore students. the results are below: freshman: 106 got a’s, 130 got b’s, and 149 got c’s. sophomore: 192 got a’s, 118 got b’s, and 168 got c’s. if one student is chosen at random from those who took the exam, find the probability that: a) the student was a sophomore. round to 4 decimal places as needed.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"

- (2, -7)

- lines r and s and lines t and u must be parallel