Suppose you roll 2 dice. What is the pobability that the sum of the 2 dice is ≤ 10, given that the 1st dice is a 6? Express your answer as a fraction.

2/3

Step-by-step explanation:

The first roll gave you a 6.

The second roll can give you one of the following:

1, 2, 3, 4, 5, 6

Add 6 from the first roll to each of the second possibilities:

7, 8, 9, 10, 11, 12

Out of the 6 sums, 4 are less than or equal to 10.

p(sum ≤ 10) = 4/6 = 2/3

2/3

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

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: