Answer: for question 1, i think you have to put yes because absolute value is always positive so it´s 6.5 and the opposite of -6.5 is 6.5
Step-by-step explanation:
Answer: The expected value of this game is 2/3
Step-by-step explanation:
Give that
If it's black, you lose a point. If it's red, you gain a point.
And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.
Assuming you should stop after three cards when you are +2.
The only question is whether to draw if you are +1 on the first draw.
If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points
1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.
From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3
Answer:
7/16
Step-by-step explanation:
1. you have to have the same denominator
Answer:
x=2, y=-3
Step-by-step explanation:
x+3y+-7
move variable to the right and -3y from each side
x+3y-3y=-7-3y
x= -7-3y
3x -4y=18
3(-7-3y)-4y=18
solve for y, distribute
-21-9y-4y=18
collect like terms
-21-13y=18
move constant and change sign
-13y=18+21
add
-13y=39
divide by -13
y= -3
substitute
x=-7-3(-3)
solve
x=2