Answer:
≈ 0.52
Step-by-step explanation:
P( head ) = 2/3 , P( tail ) = 1/3
when a head is tossed ; Gambler A wins $1
when a tail is tossed : Gambler B wins $1
<u>Determine the P( Gambler A wins the game ) if he starts with I dollars</u>
Assuming I = $1
n = 5
p ( head ) = P( winning ) = 0.66
p( losing ) = 0.33
applying the conditional probability in Markov which is ;
Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁
P( 1) = 0.66P₂ + 0.33P₀
resolving the above using with Markov probability
P( 1 ) = 0.51613
hence the probability of Gambler A winning the game if he starts with $1
≈ 0.52
Answer:
f = 6
Step-by-step explanation:
f = 42/7 = 6
<h2>
The crime gets cleaned up at 2:00 PM</h2>
Step-by-step explanation:
Let the work be w.
Batman can clean up all of the crime in Gotham City in 8 hours working alone.
Robin can do the same job alone in 12 hours.
Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.
Let the time of completion of work after Batman's joining be t.
We have time of working of Robin = t + 10:00 -8:00 = t + 2
So
After 4 hours of 10:00 Am work gets completed.
Time = 10:00 AM + 4 hours = 2:00 PM
The crime gets cleaned up at 2:00 PM
Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
