Based on a sample of 62 households, the mean weight of discarded plastic is 1.91 pounds and the standard deviation is 1.07 pounds. Use a single value to estimate the mean weight of discarded plastic for all households. Also find the 95% confidence interval.

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Ben bowled 124 and 188 in his first two games. what must he bowl in his third game to have an average of at least 160?

The graph of which equation includes the points (0, 10) and (10, 11)? y = 10x + 11 y = x + 10 y= 1/10x + 10 y = 1/10x + 11