a bouncing ball reaches heights of 16 cm 12.8cm and 10.cm on three consecutive bounces. if the ball started at a hieght of 25 cm how many times has it bounced when it reaches a height of 16 cm? write a geomertic series for the downward distances the ball travels from its release at 25cm. write geometric series for the upward distances the ball travels from its first bounce. find the total vertical distance the ball travels before it comes to rest

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! )

they disappear if your absent from to long. i found out that the hard way.

step-by-step explanation:

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