An engineer is redesigning a set of cases for computer equipment. One is a cube with side lengths of x inches, and the other is a rectangular prism whose size is dependent on the size of the cube. The volume of the prism is modeled by function v. v(x)= x^3-12x^2+35x

Use the x-intercepts to write the factored form of the equation representing the volume of the prism.

v=(x)

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)