The graph shows excess demand. a graph titled excess supply has quantity on the x-axis and price on the y-axis. a line with positive slope represents supply and a line with negative slope represents demand. the lines intersect at the point of equilibrium (p star, q star). a point on the demand line is (p 2, quantity demanded) and a point on the supply line is (p 2, quantity supplied). both points are lower than the point of equilibrium. excess demand is indicated between the 2 points. which needs to happen in order to stop disequilibrium from occurring? q needs to be coordinated with supply. q needs to be coordinated with demand. the price of goods needs to be increased. the price of goods needs to be decreased.

What are the values of , , m∠abd and m∠dbe in the given figure? explain or show your work

Factor -8x3-2x2-12x-3 by grouping what is the resulting expression?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.