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.
3t3t3 =9 5t5t5 = 15 add to of the products and get 105
I think the answer is D
Hope it helps
Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-

The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,

Hence, the constant of variation k for the direct variation is -0.5.
Answer:
V = 1385.44
Step-by-step explanation:
The equation for volume is V = π r 2 h! Where V = volume, r = radius <em>(half the diameter)</em>, and h = height. Now lets substitute what we know into this equation!
<em>Since we are giving the diameter (14) we must divide by 2 to find the radius.</em>
14 ÷ 2 = 7
Radius = 7
Height = 9
V = ?
Time to plug these values in!
V = π
(9)
<em>We have to distribute </em><em>pi to 7 square that term </em><em>and then </em><em>multiply the value by 9</em><em>. </em>
<em />
V = 1385.44
Hope this Helps! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>
-SGO