Bad simulations explain why each of the following simulations fails to model the real situation properly: a) use a random integer from 0 through 9 to represent the number of heads when 9 coins are tossed. b) a basketball player takes a foul shot. look at a random digit, using an odd digit to represent a good shot and an even digit to represent a miss. c) use random numbers from 1 through 13 to represent the denominations of the cards in a five-card poker hand

Which explanation can be used to informally derive the formula for the volume of a cone? a cylinder is exactly 3 times bigger than a cone with the same height and radius. therefore, the formula for the volume of a cone is 13 of the volume of a cylinder with the same height and radius. a cone is similar to a triangular pyramid except that a cone has curved edges. therefore, the formula for the volume of a cone can be derived by using the formula of a triangular pyramid and using the radius instead of the base length. a cone is approximately the same size as 1.5 spheres. using the formula for the volume of a sphere and multiplying it by 1.5 will give the formula for the volume of a cone. a cone consists of a circle as a base and triangles for its body. the formula for the volume of a cone can be derived by adding the formula for the area of circle and the area of the number of triangles that will cover the body of a cone.

5500 dollars is placed in an account with an annual interest rate of 6.5%. to the nearest tenth of a year, how long will it take for the account value to reach 19700 dollars?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)