The solid figure is separated along the dotted line into two rectangular prisms. What are the volumes of the two rectangular prisms? What is the volume of the solid figure? Use the drop-down menus to show your answer. A solid is made up of 2 rectangular prisms. The total length of the solid is 20 inches. First rectangular prisms has a height of 5 inches, and width of 4 inches. Second rectangular prisms has length as 4 inches, height of 8 inches, and width of 4 inches. The volume of two rectangular prisms are Choose... cubic inches and 128 cubic inches. The volume of the solid figure is Choose... cubic inches.

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.

Simplify the expression below -3(10x+4y)+6(6x-2y)

Find a third-degree polynomial equation with rational coefficients that has roots -2 and 6+i