When i go to the gas station and pump
gas, i like to challenge myself to guess the
amount of gas i am going to pump into
my tank. i consider it a "win" for me if my
guess is within 0.2 gallons of the actual
amount that i pump. if i am 0.2 gallons
or more away from the actual amount
that i pump. i consider it a "loss" for me.
(my son tells me this makes me a real
nerd.) (as if he needed further proof)
question: which of the following inequalities
represents a win for me, if i am guessing that
i will pump 11.2 gallons?

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! )

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

plz yuo

step-by-step explanation: