Giving orders. Order the following events in terms of likelihood. Start with the least likely event and end with the most likely. 1) You randomly select an ace from a regular deck of 52 playing cards. 2) There is a full moon at night. 3) You roll a die and a 6 appears. 4) A politician fulfills all his or her campaign promises. 5) You randomly select the queen of hearts from a regular deck of 52 playing cards. 6) Someone flies safely from Chicago to New York City, but his or her luggage may or may not have been so lucky. 7) You randomly select a black card from a regular deck of 52 playing cards. What is the position of an event going by number 7 in the list above in the ordered list?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24