Answer:
42 cents
Step-by-step explanation:
Data provided in the question:
Random variable i.e gain with values 3,2,1,-1.
Now,
The corresponding probabilities will be as follows:
Expected gain = 
Expected gain = ![(\frac 13)^{3}[3+6+3-(0.7407)]](https://tex.z-dn.net/?f=%28%5Cfrac%2013%29%5E%7B3%7D%5B3%2B6%2B3-%280.7407%29%5D)
![=(\frac 16)^{3}[11.2593]=0.4170](https://tex.z-dn.net/?f=%3D%28%5Cfrac%2016%29%5E%7B3%7D%5B11.2593%5D%3D0.4170)
≈ 42 cents
Answer:
1 : 12 : 4
Step-by-step explanation:
Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...
A = G +12
C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"
A + G + C = 68
Substituting for G and C, we have ...
A + (A -12) +(3A) = 68
5A = 80 . . . . . add 12
A = 16 . . . . . . . divide by 5
The other ages are then ...
G = A-12 = 16 -12 = 4
C = 3A = 3·16 = 48
The ratios are ...
G : C : A = 4 : 48 : 16
G : C : A = 1 : 12 : 4
Answer:
y = 3/2x + 7/2
Step-by-step explanation:
First, you need to find the slope.
y2 - y1 / x2 - x1
= 5 - 8 / 1 - 3
= 3/2
The slope is 3/2x.
To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b
y = 3/2x + b
8 = 3/2(3) + b
8 = 9/2 + b
7/2 = b
The equation y = 3/2x + 7/2.
Answer:A,D,E
Step-by-step explanation:
Just did the assignment
