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.
Answer:
So, marta will sprint 225 yards.
Step-by-step explanation:
Area of parallelogram= b*h
Given: Area = 776.5 square yards
Base = 34.5 yards
Area = b* h
776.5 = 34.5 * h
776.5/34.5 =h
=> h = 22.5
Since sprint is the same distance as of height of park so,
Distance of 1 sprint = 22.5 yards
Distance of 10 sprints = 10 * 22.5 = 225 yards
Answer:
2/3
Step-by-step explanation:
Pick two points on the line
(-2,0) (1,2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 2-0)/(1--2)
(2-0)/(1+2)
2/3
Let x be the unknown number
2x +7 = 39
2x+7-7 = 39-7
2x = 32
2x/2 = 32/2
x=16
You use the balance method to solve. First, you cancel the +7 by subtracting the 7 ON BOTH SIDES to balance the equation.. After that, you are left with 2x, where you will need to isolate the x by dividing by 2 ON BOTH SIDES to balance it.
Hope this helps
