Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.
Well,
H<span>ope that helps!!</span>
X-2y=-12
x+6y=20
we can cancel x's
multiply first equation by -1 and add to 2nd equation
-x+2y=12
<u>x+6y=20 +</u>
0x+8y=32
8y=32
divide both sides by 8
y=4
sub back
x-2y=-12
x-2(4)=-12
x-8=-12
add 12 both sides
x=-4
(x,y)
(-4,4)
Answer:
Step-by-step explanation:
1. 0.4y = x is a direct proportion. It'd be more appropriate to write this as
y = x / 0.4, or y = 2.5x, in which case 2.5 is the constant of proportionality.
2. x = 1 - 2y is not a direct proportion because of the offset (1). A line representing a direct proportion must go through the origin (0, 0); this particular line does not do that.
X intercept:
let y=0
5x+3(0)>450
5x>450
450/5
x>90
y intercept:
let x=0
5(0)+3y>450
3y>450
450/3
y>150
