GCF of 4x^2y^2, 3xy^4, and 2xy^2
1 answer:
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We know that our bag has n white tiles and 5 black tiles.
So, the total number of tiles in the bag is n + 5.
We know that a tile is drawn at random and is replaced, then a second tile is drawn.
a) We want to find the probability that the first tile is white.
Because all the tiles have the same probability of being randomly drawn, the probability of drawing a white tile is just the quotient between the number of white tiles and the total number of tiles in the bag.
And for the second draw, we do not have any restrictions, so the probability is the above one.
b) Now we want both tiles to be white.
For the first one we already know the probability, which is:
And because the tile is replaced, the probability of drawing a white tile again is exactly the same:
The joint probability (the probability of both of these outcomes to happen together) is the product of the individual probabilities.
Probability =
If you want to read more about probability, you can read:
Answer:
Therefore the rate change of height is m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.
The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is
Differentiating with respect to t.
Putting the value
The rate change of height does not depend on the height.
Therefore the rate change of height is m/s.