You are given 10 to 1 odds against tossing three heads with three coins, meaning you win $10 if you succeed and you lose $1 if you fail. Find the expected value (to you). Would you expect to

lose or win money in 1 game? In 100 games?

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

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: