Answer:
Step-by-step explanation:
The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.
For the integral from [0, 2], the equation of the line is -3x + 6;
For the integral from [2, 3], the equation of the line is 3x - 6.
We integrate then:
and
sorry for the odd representation; that's as good as it gets here!
Using the First Fundamental Theorem of Calculus, we get:
(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5
There are 45 numbers out of which 5 numbers are required to win an enormous sum of money
No of ways in which 5 numbers can be selected out of 45 numbers.
out of which there is only combination foe contest winning
When 100 different tickets are bought then
Probability of winning:
Probably of winning≈0,000082
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P.S. Hello from Russia :^)
Answer:
176.89in^3
Step-by-step explanation:
when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!