how many quarts of a 75% acid solution must be mixed with 3 quarts of a 10% acid solution to make a 60% acid solution

10 quarts.

Step-by-step explanation:

Work with amounts of pure acid.

There is 0.10*3 quarts of pure acid in the 10% solution.

3*0.10 + 0.75x = 0.60(x + 3)    where x is the number of quarts of 75% acid.

0.30 + 0.75x = 0.60x + 1.8

0.15x = 1.5

x = 10 .

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

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step-by-step explanation:

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