The following two-way table shows the distribution of high school students categorized by their grade level and music-listening preference. Suppose a high school student is selected at random. Let event A = junior and event B = earbuds. Are events A and B independent?

A. Yes, P(A) = P(A|B).
B. Yes, P(A) = P(B|A).
C. No, P(A) ≠ P(A|B).
D. No, P(A) ≠ P(B|A).

b

step-by-step explanation:

2nd one in the first row is correct

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:

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation: