Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3-meter head start even though she only pedaled 3 meters every 2 seconds. Mark began at the starting line and finished the 20 -meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance (y) from the starting line in meters could be represented by the equation y=5/2 x + 1 , where x represents time in seconds A. What is the dependent variable? What is the independent variable?

B. Using the given information, graph lines for Barbara, Mark, and Carlos on the same set of axes. Who won the -meter race and will advance to the final race?

C. Write equations that describe Barbara’s and Mark’s motion.

D. How fast did Carlos pedal? Write your answer as a unit rate.

E. When did Carlos pass Barbara? Confirm your answer algebraically.

Step-by-step explanation:

the dependant variable is distance represented by y and independent

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! )

c.

step-by-step explanation: