Lin and diego travel in cars on the highway at constant speeds. in each case, decide who was traveling faster and explain how you know. during the first half hour, lin travels 23 miles while diego travels 25 miles. after stopping for lunch, they travel at different speeds. to travel the next 60 miles, it takes lin 65 minutes and it takes diego 70 minutes.

During the first half hour, Diego is traveling faster at an average of 50 miles/hour as opposed to Lin who is only traveling at an average of 46 miles/hour.  After lunch, Lin is traveling faster at an average rate of 56 miles/hour while Diego is traveling at an average rate of 52 miles/hour.

Step-by-step explanation:

Speed is an average of distance divided by time, or s = d/t.  In the first part of the trip, Lin travels 23 miles in 30 minutes, or 0.5 of an hour, and Diego travels 25 miles in 0.5 of an hour.  If we calculate the average speed at s = 23/0.5 and 25/0.5, we get an average rate of 46 miles/hour for Lin and 50 miles/hour for Diego.  After lunch, Lin travels 60 miles in 65 minutes, or 1.08 of an hour, and Diego travels the same distance in 70 minutes, or 1.16 of an hour.  Calculating the average speed for this part of the trip is 60/1.08 or an average of 56 miles/hour for Lin and 60/1.16 or an average of 52 miles/hour for Diego.

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! )