Answer:
Step-by-step explanation:
From the given information,
Considering both cases when p = 0.5 and when p ≠ 0.5
the probability that the gambler will quit an overall winner is:
where ;
N.k = n and k = m
Hence, the probability changes to:
is p ≠ 0.5 and k/N = 
is P = 0.5
Answer:
h(x) = -x^2 - 1
Step-by-step explanation:
well y, h(x), f(x), n(x), or any other something of x is all the same thing y.
So if f(x) is -x^2 - 1,
Then h(x) is also -x^2 - 1
Answer:
1 1/3
Step-by-step explanation:
Find the common denominator of all three which is 6.
Then multiply each to make the common denominator 6
1/2*3 = 3/6
2/3*2 = 4/6
1/6*1 = 1/6
Then add all of them together
3/6+4/6+1/6 = 1 2/6
Simplified equals 1 1/3
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
