Suppose we have K = 2 cars and one time step T = 1. Write an expression for the conditional distribution P(C11, C12E1 = e1) as a function of the PDF of a Gaussian pN (v; μ, σ2) and the prior probability p(c11) and p(c12) over car locations. Your final answer should not contain variables d11, d12

Solve the system of equations. y= 2x y= x^2 - 15

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.