Solve for x : 5x-2(x+1) =10
2 answers:
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Answer:
And using the normal standard distirbution or excel we got:
Step-by-step explanation:
Let X the random variable that represent the resistance for resistors of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the z score formula is given by:
Using this formula we got:
And using the normal standard distirbution or excel we got:
Answer:
16.75 cubic inches
Step-by-step explanation:
<u>Key skills needed: Volume of a cylinder, Volume of a sphere</u>
1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.
- Volume of a sphere -->
(V = volume, and r = radius)
- Volume of a cylinder -->
(V = volume, r = radius,h = height)
These formulas will be needed.
2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.
3) Let's start by finding the volumes:
- Cylinder -->
We have the radius (which is 2) and the height (which is 4)
- This means we can solve -->
- 2 squared is 4, so then it would be -->
- 4 times 4 is 16 so
---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi).
- Next is the Sphere-->
We have the radius (which is 2) so we can solve
- 2 cubed is 8, so it would be -->
- 8 times 4/3 is 32/3 so -->
--> which is Around 33.51 cubic inches
4) Now we have to find the difference, so we do:
- 50.24 - 33.51 = 16.74
This means your answer would be 16.75 as that is the closest one.
<em>Hope you understood and have a nice day!! :D</em>