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:
x=7
Step-by-step explanation:
ln(x)+ln(x-3)=ln(4x)
x≥0,x≥3
combining x≥3
ln[x(x-3)]=ln(4x)
x(x-3)=4x
x²-3x-4x=0
x²-7x=0
x(x-7)=0
x=0(rejected),7
Answer:
A. P - Q
Step-by-step explanation:
Q(x) = (x³ + 2x² + 3)(x² -2)
= x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6
P - Q = (x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6) - (x⁴ + 3x³ + 2x² - x + 2)
P - Q = x⁵ - x⁴ + 2x⁴ - 3x³ - 2x³ - 2x² - 4x² + 3x² + x - 2 - 6
P - Q = x⁵ + x⁴ - 5x³ - 3x² + x - 8
Answer:
y = 1/3
Step-by-step explanation:
2/3 (6y - 4) = - 4y
2(6y-4)/3 = -4y
2(6y-4) = (-3)(4y)
y = 1/3
Answer:
Looks like it's 1.
Step-by-step explanation:
Since it is a positive slope and it goes up 1 unit, the slope is 1.
