In place of a die, the ancient Greeks would roll an astragalus. Suppose that one astragalus has four possible outcomes, which we will name King, Steward, Peasant, and Thief. If Peasant is four times as likely as King and Thief is four times as likely as Steward, and King are Steward are equally likely, what is closes to the probability that one roll of this astragalus results in Peasant?

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?

Delbert keeps track of total of the total number of points he earns on homework assignments, each of which is worth 60 points. at the end of the semester he has 810 points. write an equation for delbert’s average homework score a in terms of the number of assignments n.

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need