Abranch of a certain bank has six atms. let x represent the number of machines in use at a particular time of day. the cdf of x is as follows: f(x) = 0 x < 0 0.05 0 ≤ x < 1 0.22 1 ≤ x < 2 0.38 2 ≤ x < 3 0.53 3 ≤ x < 4 0.83 4 ≤ x < 5 0.99 5 ≤ x < 6 1 6 ≤ x calculate the following probabilities directly from the cdf: (a) p(2), that is, p(x = 2) (b) p(x > 3) (c) p(2 ≤ x ≤ 5) (d) p(2 < x < 5)

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Which function families have maximums and minimums? 1.)linear absolute value functions and exponential functions 2.) linear absolute value functions and quadratic functions 3.) linear absolute value functions and linear functions 4.) linear absolute value functions and constant functions

Ten times the square of a non-zero number is eqaul to ninety times the number