If
is a random variable representing your winnings from playing the game, then it has support

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So
has PMF

You can expect to win
![E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}](https://tex.z-dn.net/?f=E%5BW%5D%3D%5Cdisplaystyle%5Csum_ww%5C%2CP%28W%3Dw%29%3D%5Cfrac%7B43%5Ccdot3%7D%7B13%7D-%5Cfrac%7B11%5Ccdot10%7D%7B13%7D%3D%5Cboxed%7B%5Cfrac%7B19%7D%7B13%7D%7D)
or about $1.46 per game.
Answer:
.03
Step-by-step explanation:
The answer would be .03 as you are dividing .24 by 8, which would be 3 if there was no decimal point. Though, .24 is two places past the ones place so the answer would have to be two places past the ones place. If you divide it, 8 can't go into 2, so you would put a 0 above it. Though, 8 can go into 24 three times, so you would put three. Therefore, your answer would be .03 as it is two places past the ones place and if it is multiplied by 8, it would make .24, or 24 tenths.
X can always be used a 1 .
area of rectangle= 8*13=104m^2
base of the Triangle= 13 -(4+4)=5
area of Triangle = 5*6/2=15m^2
area of shaded shape =104-15= 89m^2
Answer : - Symmetric property of equality tells that for all real numbers p and q, if p=q then q=p which means if we interchange the sides of an equation then the equation is still a true statement .
For example :-
1. We know that 4+5 =9 then by symmetric property we can also say that 9=4+5.
2. If 5x+5=7 then by symmetric property of inequality 7=5x+5.