By definition, the volume of a cylinder is given by:
Where,
r: cylinder radius
h: cylinder height
Therefore, the total capacity of the container is:
Rewriting we have:
Then, the amount of total dust is given by:

Where,
V: volume of the container
Substituting values:

Rewriting:
Answer:
The total capacity of the container in terms of π is:
The volume of the powder in terms of π is:

Answer:
Expected Value = - 0.5
Step-by-step explanation:
Expected Value [ E(X) ] = Σ {X. Probability (X)} = Σ [ (X).P(X) ]
Probability = 1 / 1000
X Value = 500 - 1 = 499
Probability = 1 - Probability Winning = 999 / 1000
X Value = -1
(1 / 1000) (499) + (999 / 1000) (-1)
0.499 - 0.999
= - 0.5
Answer:x
x=
√
3
/3
,
−
√
3
/3
Step-by-step explanation:
its that because idk what kind of question is that
The answer is 2 because the blue tiles (7) have more then the red tiles (5).
Answer:
4/52 or 1/13
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.
There are 4 kings, 4 queens, 4 aces, and 4 jacks.
So the probability of drawing a king would be:
4/52 = 1/13