Answer: V = 
Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:
V =
Δx
Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:
V = 
Then, for the region generated by y = - x + 4:
V = 
V = 
V = 
V = 
V = 
The volume of the revolved region is V =
The statement is expressed algebraically as
(x/43) - 87 = -75
Answer:
Step-by-step explanation:
Here's the thing. It is easier to figure out the probability of not getting a six even once during the 50 rolls.
The chance of that happening is (5/6)^50 = 0.00010988
So the probability is succeeding is (1 - 0.00010988) = 0.9999 rounded to 4 places.