Sandra is going to help her dad replace the wood trim in their living room. They're going to need 75 metres of trim and 1 box of finishing nails. The nails are $7.00 per box. a0 If Sandra's dad wants to spend no more than $300 on the project, how much can he spend per metre on trim? Round the price of the trim to two decimal places and write your answer as a complete sentence. b0 Rewrite your answer in set notation. Which values should be excluded from the set and why? If necessary, rewrite your answer to include this information. c) Sandra's father decides that he wants to have trim of a certain quality and decides that he wants to spend more than $100 on the project, but still not more than $300. Determine the new range in price per square foot for the trim.

Evaluate the expression. (9 + 5)(3 + 2)0

Reduce fractions expressing probability to lowest terms. in 3,000 repetitions of an experiment, a random event occurred in 500 cases. the expected probability of this event is?

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