Please make a sketch of the following polynomial. Please be sure to include all intercepts and all work necessary to make the graph.

X^4+x^3-12x^2

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

Reduce fractions expressing probability to lowest terms. in 3,000 repetitions of an experiment, a random event occurred in 500 cases. the expected probability of this event is?