Answer:
The expected value is 0
Game is fair
Step-by-step explanation:
Probability = required outcome / Total possible outcomes
Number of red cards = 26
Numbw rof black cards = 26
Total number of cards = 52
If a red card is chosen, amount paid is doubled
If a black card is chosen, no winning or amount is collected.
Net money won or lost on choosing a red card = ($2 - $1) = $1
Net amount won on choosing a black card = $0 - $1 = - $1
P(red) = 26 /52 = 1/2
P(blue) = 26 /52 = 1/2
Expected value (E):
E = x*p(x)
E(X) = (1/2 * 1) + (1/2 * - 1)
E(X) = 1/2 - 1/2 = 0
Hence, since the expected value is 0 ; then the game is fair
Here’s your answer get the app socratic
Answer:
I found: y=−3x+12
Explanation:
You can use the relationship:
y−y0=m(x−x0)
Where m is the slope and x0,y0 the coordinates of your point.
So with your data:
y−6=−3(x−2)
y=−3x+6+6
y=−3x+12
or:
3x+y=12
The curve hits the y-axis whenever
:
The area enclosed by the region is the sum of distances of every point on the curve where
![t\in[0,2]](https://tex.z-dn.net/?f=t%5Cin%5B0%2C2%5D)
to the origin. This is given by the integral
Since
, you have
and
, giving you
Answer:-8j^2-16k
Step-by-step explanation:
First step:-2j^2-(-2)k=-2j^2+2k
Second step:
-6(j^2+3k) use the formula a(b+c)=ab + ac
a=-6 b=j^2 c=3k
-6j^2+(-6).3k
-6j^2-6.3k=-6j^2-18k because we multiplied 6x3=18
So we gather the whole equation And simplify
-2j^2+2k-6j^2-18k
-2j^2-6j^2 +2k-18k(add like terms)6+2=8
-8j^2+2k-18K (subtract Like terms 18-2=16)
And the answer will give -8j^2-16k
