In the game “Sandwich” three cards are dealt from a 52-card deck. To win, the value of the third card must be between the first two cards. What is the probability of winning given the first two cards dealt are a 6 and a 10? Show ALL work!!!

Step-by-step explanation:

In a 52 card deck there a 4 of ech individual card

There are 3 card values between 6 and 10, (7,8,9)

12 out of the 52 cards could win the game, so there is a probability of

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a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9