Describe in words the region of R3 reperesented by the equations or inequalities y2+z2=16
1 answer:
Answer:
It represents an infinite cylinder of radius 4.
Step-by-step explanation:
The first thing to notice is that
<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.
Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).
Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.
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Answer: a) 0.2222, b) 0.3292, c) 0.1111
Step-by-step explanation:
Since we have given that
Let the probability of getting head be p.
Since, its head is twice as likely to occur as its tail.
a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?
So, here, n = 3
Now,
b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?
2 tails means 3 heads.
So, it becomes,
c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?
Hence, a) 0.2222, b) 0.3292, c) 0.1111