A class of 30 introductory statistics students took a quiz worth 100 points. the standard deviation of the scores was 0. what mu
2 answers:
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Answer:
Step-by-step explanation:
It is given that,
V = bdt i.e. V is equal to the product of b, d and t
We need to find the formula for d.
Dividing both sides of the given expression by bt
So,
Hence, is the value of d.
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation
Solve for S(t):
The left side is the derivative of a product:
Integrate both sides:
There's no sugar in the water at the start, so (a) S(0) = 0, which gives
and so (b) the amount of sugar in the tank at time t is
As , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.