28) rob cuts grass as a job. a neighbour asked rob to give a quote for his backyard. rob noticed that the yard was a rectangle shape. he used the formula = × to calculate the area (in square metres). he measured the length along the fence (l=16.2 m) and the length next to the house (b= 6.7m). show working
a) using a calculator and the formula, find the area of the yard.

b) round your answer to the nearest whole number.

c) rob charges $0.46 per square metre. what is the quote for the neighbour’s backyard?
d) if rob didn’t have a calculator and simply rounded off the lengths to the nearest whole number, what would this area be? what would be the implications of using this approximation for the quote?

The first floor of marcus’ house is 1,440 square feet. he will cover 1,033 square feet with wood and the rest with tile. a box of tiles will cover 11 square feet. how many boxes of tile does marcus need to buy to cover the floor?

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

Events a and b are independent. the probability of a occurring is 2/5. the probability of b occurring is 1/4. what is p(a and b)?