Jesse, to answer this, we need to see the graph. I'd help if I could! You can message me if you post it! :D
Yes, three is greater than -2
The correct answer is
y=2x-9
Since the lines are parallel, they will gave the same slope (in this case it’s 2)
Our equation will be
y=mx+b
We know the slope is 2, and they’ve given us x and y coordinates. Plugging it in to the slope equation we get
1=2(5)+b
1=10+b
Subtract 10 from both sides and you get
-9=b
Putting it together our new parallel line will be
y = 2x - 9
Answer:
Percentage of balls which are red = 80%.
Step-by-step explanation:
Let the probability of drawing a red ball be x then the probability of drawing a white ball is 1-x.
There are 5C3 = 10 ways of getting 3 reds in 5 draws so the probability of this is 10* x^3 * (1 - x)^2.
The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.
The first probability is 32 times the last.
So we have the equation:
10x^3(1 - x)^2 / 5x(1 - x)^4 = 32
2x^2 / (1 - x)^2 = 32
2x^2 = 32(1 -x)^2
2x^2 = 32( 1 - 2x + x^2)
2x^2 = 32 - 64x + 32x^2
30x^2 - 64x + 32 = 0
15x^2 - 32x + 16 = 0
(5x - 4)(3x - 4) = 0
x = 0.8, 1.333...
The probability must be < 1 so x = 0.8 = 80%.
