Afarmer uses pesticides to keep harmful bugs away from his crops. the amount of pesticide used in an inverse variation of the percentage of bugs remaining on the crops. if he uses 5 gallons of pesticide per acre, 5% of the bugs remain. which equation describes this relationship? (let p denote the percentage of bugs and g denote the number of gallons used below.) a. p=1/4g b. p=4g c. p=1/4.g d. p=4/g

Option a p =

Step-by-step explanation:

It is given in the question, amount of pesticides used in an inverse variation of the percentage of bugs, remaining.

If p is the percentage of bugs and g is the gallons of pesticides used.

So  p ∝

or  p =  where k is a constant.

Now it is given that p = 5 gallons per acre and g = 5% of the bugs.

5 =

k = 0.05 × 5 = 0.25

So equation will be

p =

or p = =

Option a is the answer.

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! )