Answer:
Rectangular prism- 12 edges
Rectangular pyramid- 8 edges 
Triangular pyramid- 6 edges
Triangular prism- 9 edges
I hope this helps!
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as 
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is 
0.16 × 848 = 136 cups
 
        
             
        
        
        
Answer:
   see below
Step-by-step explanation:
Put -1 where x is in each expression and evaluate it.
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You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...
   (x +1)
Substituting x=-1 into this factor makes it be ...
   (-1 +1) = 0
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Evaluating the first expression, we have ...

This first expression is one you want to "check."
You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)
 
        
             
        
        
        
The value of X is 16 because the lines intercept