Answer:
The probability that none of the three shoes selected are green = 64/125
Step-by-step explanation:
If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5
Now, this is a probability with replacement. 
probability of the first shoe since it’s not green = 4/5
probability of second shoes since it’s not green = 4/5
probability of third shoe since it’s not green = 4/5
Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125
 
        
             
        
        
        
0.144 because the number after 3 is 5 and that rounds the 3 to a 4.
        
             
        
        
        
Hey there :)
We know the volume formula of triangular prism
Volume = base x height of prism
             = 

We are given:
The base = 8 in
The height = 15 in
You do not need the 17 in ( it is there to trick you )
The height of the prism = 10 in
Apply the formula,
V = 
   = 600 in³Your final answer will be the
 last option
 
        
             
        
        
        
Answer:
1999
Step-by-step explanation:
y  = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y  = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y  = 0.2313(12)^2 + 2.600(12) + 35.17
y  = 27.9873 + 28.6 + 35.17
y = 99.6772  which verifies our equation
65 = 0.2313x² + 2.6x + 35.17 
  0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05