Answer: You have a better chance if you do not replace the red marble.
Step-by-step explanation:
The bag has:
5 red marbles
8 blue marbles
4 yellow marbles
3 green marbles
A total of 5 + 8 + 4 + 3 = 20
You want to draw a red marble and then a blue marble.
The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:
P1 = 5/20
now you want to draw a blue marble.
If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:
P2 = 8/20
The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1
If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:
P2 = 8/19
The joint probability is:
P = P1*P2 = (5/20)*(8/19) = 0.105
The probability is slightly bigger if you do not replace the red marble.
Answer:
m = -8
Step-by-step explanation:
Use the slope formula: 
m = -8
Slope for (x₁, y₁) and (x₂, y₂): (6, 2) and (7, 4)
Slope: (y₂ -y₁) / (x₂ -x₁)
Slope: ( 4 - 2) / (7 - 6) = 2/1
<span>Slope = 2/1 = 2
Option D</span>
