Show that the graph of an equation of the form Ax2 + Dx + Ey + F = 0, A "* 0 (a) Is a parabola if E "* O. (b) Is a vertical line if E = 0 and D2 - 4AF = O. (c) Is two vertical lines if E = 0 and D2 - 4AF > O. (d) Contains no points if E = 0 and D2 - 4AF < O.

Consider the following scenario: a fair die is rolled three hundred times and each time a number divisible by three is rolled, a success is recorded. Find the probabiof obtaining the following: I. At least 120 successes 3DO thaAS II. At most 110 successes 6 VHH = rOUiy.~:tt d.HI I bU 17'1 3 III. Between 90 and 120 successes (exclusive) _ 2 IV. More than 80 and less than or equal t90 successes f - I (g SUlUf,ff S ( = 300 ... binl