Apiece of wire 80 cm long is cut into two pieces. one piece is 2x m long and is bent to form a rectangle of length 4x m. the other piece is bent to form a square. a.) find, in terms of x, i.) the area of the rectangle, ii.) the length of the side of the square, iii.) the area of the square b.) show that the total area y m^2, of the rectangle and the square is given by y = 17x^2 - 120x + 400

People end up tossing 12% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. a. calculate the mean and the standard error for the sample proportion p. b. describe the sampling distribution of p in part a. draw a graph of this probability distribution with its mean and standard deviation. what is the probability that your survey will provide a sample proportion more than 15%? c. d. population proportion? what is the probability that your survey will provide a sample proportion within + 0.03 of the