The length of a quarter is 0.955 inch round the length of a quarter to the nearest tenth of an inch
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Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by in grams, is governed by the differential equation,
which is linear. Move the term to the right side, then multiply both sides by
:
Integrate both sides, then solve for :
Since the tank starts with 5 g of salt at time , we have
The time it takes for the tank to hold 20 g of salt is such that
Answer:
The probability that you'll end up with socks that aren't blue is .
Step-by-step explanation:
The pieces of clothing available:
X = {shirt, pants, socks and hat}
The color options:
Y = {purple, blue and orange}
So, if a person picks a shirt he/she has 3 color options.
Similarly for pants, socks and hat there are 3 color options each.
That makes 12 possible pieces of clothing.
That is, there are 12 total options available.
Now, compute the probability of selecting a socks as follows:
Compute the probability of selecting the color blue as follows:
Compute the probability of selecting a socks that are not blue as follows:
Thus, the probability that you'll end up with socks that aren't blue is .