Answer:
rolling a number cube with sides labeled 1 through 6 and tossing a coin.
Step-by-step explanation:
We will resolve each statement to determine the events that has exactly 12 possible outcomes.
N = number of possible outcomes for a cube
Nc = number of possible outcomes for a coin
Nca = number of possible outcomes for the cards
i. rolling a number cube with sides labeled 1 through 6 and then rolling the number cube again
Nt = N × N 
N = 6 ( cube has 6 possible outcomes and its rolled twice)
Nt = 6 × 6 = 36
ii. tossing a coin and randomly choosing one of 4 different cards.
Nt = Nc × Nca
Nc = 2 ( coin has two outcomes)
Nca = 4 ( 4 possible cards )
B = 2 × 4 = 8
iii. rolling a number cube with sides labeled 1 through 6 and tossing a coin.
N = N × Nc
N = 6 ( cube has 6 possible outcomes)
Nc = 2 (coin has two faces)
N = 6 × 2 = 12 (correct)
Iv. tossing a coin 6 times.
N = Nc^6
Nc = 2 
N = 2^6 = 64
Therefore, the correct answer is iii.
rolling a number cube with sides labeled 1 through 6 and tossing a coin.
 
        
             
        
        
        
The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
    (x+2)(x+3) = 12
  x(x+3)+2(x+3) = 12
  x² + 3x + 2x + 6 = 12
  x² + 5x + 6 - 12 = 0
  x² + 5x - 6 = 0
  x² + 6x - x - 6 = 0
  x(x+6) -1(x+6) = 0
  (x+6)(x-1) = 0
Now, x + 6 = 0      or      x - 1 = 0
          x = -6           or      x = 1
Thus, the solution of the given equation is -6 and 1.
Learn more about Quadratic Equation from:
brainly.com/question/17177510
#SPJ1
 
        
             
        
        
        
Step-by-step explanation:
 area of square = 1
area of a circle in square =
 
bu estimate  ![p^ = X/n = 760/1000 = 0.76Therefore, 
[tex]\frac{\pi }{4} \approx 0.76](https://tex.z-dn.net/?f=p%5E%20%3D%20X%2Fn%20%3D%20760%2F1000%20%3D%200.76%3C%2Fp%3E%3Cp%3ETherefore%2C%20%3C%2Fp%3E%3Cp%3E%0A%5Btex%5D%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%5Capprox%200.76) 
 
b) if n tend to infinity

 
        
             
        
        
        
Answer:
The top choice
Step-by-step explanation:
1/2 x -2 > 0
Add 2 to each side
1/2 x -2+2 > 0+2
1/2 x > 2
Multiply each side by 2
1/2 x *2 > 2*2
x > 4
There is an open circle at 4 and the line goes to the right
 
        
                    
             
        
        
        
Answer:
b>3
Step-by-step explanation: