Find the intercepts for both planes.
Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:



Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:



Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.
Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.
So the volume of the region is



 
        
             
        
        
        
 Answer:
y
=
4
(
x
+
11
)
2
−
484
Step-by-step explanation:
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given


Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum




So, in a single roll; The probability of getting audited is:



The probability of not getting audited in a single roll is:
 --- Complement rule
 --- Complement rule

Take LCM


The probability of not getting audited in 5 rolls is:




 
        
             
        
        
        
Answer:
-20%
My brain is weird on how i figure it out but I divided 48 by 60 and got .80 so i just got the other whole to make it 1 so it is 20%. This is not the correct way to do this but this is how i got my answer.