Answer:
6.27 x 10 ^ 8
Step-by-step explanation:
 
        
             
        
        
        
<span>
A= {a,b,c} . Since this set has 3 elements, the number 
of its total subset is 2³ = 8 (including the Ф element):
Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6
{a}        </span>→→→→1/2
<span>{b}        </span>→→→→1/3
<span>{c}        </span>→→→→1/6
<span>{a,b}     </span>→→→→1/2 + 1/3 =  5/6
<span>{a,c}     </span>→→→→1/2 + 1/6  =  2/3
<span>{b,c}     </span>→→→→1/3 + 1/6  =  1/2
<span>{a,b,c}  </span>→→→→1/2 + 1/3 + 1/6 = 1
<span>{∅}       </span>→→→→0 =0
        
             
        
        
        
Answer:
you have the same quiestion 3 times 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4 
Vertex of the parabola represented by this equation is given by ![[-\frac{b}{2a}, f(\frac{-b}{2a})]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7Bb%7D%7B2a%7D%2C%20f%28%5Cfrac%7B-b%7D%7B2a%7D%29%5D)
x coordinate = 
                      = 2
y-coordinate = f(2) 
                      = - (2)² + 4(2)
                      = -4 + 8
                      = 4
Therefore, vertex of the given function is (2, 4)
 
        
             
        
        
        
Answer:
256
Step-by-step explanation:
All of these are multiples of 4. 
4^2= 16
4^3=64
4^4=256