If 15 runners are in a race, how many possible ways are there to award 1st, 2nd, and 3rd place trophies?

A bin contains six marbles:  1 Red, 2 Blue and 3 Green.  Two marbles are randomly selected without replacement.  Examine the tree diagram and answer the following questions. a.  What is the probability both marbles are blue? [a]  Answer as a fraction in lowest terms. b.  What is the probability that the second marble chosen is red? [b]  Answer as a fraction in lowest terms. c.  What is the probability that both marbles are the same color? [c]  Answer as a fraction in lowest terms. d.  If the first marble chosen is green, what is the probability that the second marble chosen will be green? [d]  Answer as a fraction in lowest terms. e.  What is the probability of choosing at least 1 blue marble? [e]  Answer as a fraction in lowest terms.  

Suppose 4 ​quarters, 6 ​dimes, 7 ​nickels, and 4 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the​ box? HINT:  Use 25 to represent a quarter (not 0.25).  Do the same for the other coins. [A]  ¢  Round to the nearest tenth of a cent

How many ways can you rearrange the letters in the word?   E X C E L L E N T

EXTRA CREDIT                                                    4 POINTS You purchase a raffle ticket to help out a charity. The raffle ticket costs $7. The charity is selling 3000 tickets. One of them will be drawn and the person holding the ticket will be given $4000. a.  Compute the expected value for this raffle.   NO WORK = NO POINTS b.  Explain WHY this is or is not Fair game based upon your work from part a.

A collector has 11 paintings.  How many ways can she choose 3 paintings to donate to the local museum?

Rewrite in standard form: Seven hundred and ninety-four ten-thousandths

The following image represents what decimal?

All 37 of the students in a mathematics class attended class on Monday. On Tuesday only 29 students attended. What was the percent of decrease? [a]%    Round the nearest tenth of a percent

How much money will there be in an account at the end of 4 years if ​$8000 is deposited at 6.7​%  simple interest? ​(Assume no withdrawals are​ made.)    Complete the following: a.  Write the formula that you intend to use on your paper. b.  Fill the numbers as needed from the question. c.  Type your answer.  Round to the nearest cent.