For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?

a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798

d) 0.798

Step-by-step explanation:

Since we know that an exponential function is in form: , where,

a= Initial value,

b = For growth b is in form (1+r), where r is rate in decimal form.

b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.

Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.

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! )