Answer:
Answer is 3/4
Step-by-step explanation:
Edward can distrubute pearls to 2 identical bags as fallows:
- 2W for one bag and 2B for another bag. In this scenerio the probability of picking a black pearl is 1/2.
- 1W and 1B for one bag and 1W and 1B for another bag. In this situation the probability of picking a black pearl is 1/2 × 1/2 is equal to 1/4
- At the end, the sum of two scenerio is 1/2 + 1/4 = 3/4
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
2(xy) = (2x)y is an associative property of multiplication. This answer has been confirmed as correct and helpful.
