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   and k/N =  is P = 0.5
  is P = 0.5
 
        
             
        
        
        
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem, 
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
 
        
             
        
        
        
Answer:arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.
Step-by-step explanation:
 
        
                    
             
        
        
        
It reflects across the x axis