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 =
Answer: 0.009
Step-by-step explanation:
Formula we use here : Binomial distribution formula
Probability of getting success sin x trial = , where n is the sample size and p is the probability of success in each trial .
Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
i.e. p= 0.65
Sample size : n= 11
Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-
Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009