Outline a polynomial-time algorithm that verifies whether or not a proposed solution solves the problem. describe your algorithm in english step by step and explain why it is in polynomial time. 1. knapsack problem 2. bin packing problem

(328 inc. 448 ind. 480 in25. john has a collection of toy cars. he has 2 red cars, 4 blue cars, 4 black cars, and 6 yellowcars. what is the ratio of red cars to yellow cars? a. 1: 2b. 1: 3c. 1: 626. the net of a right triangular prism is shown below.

Asample of 200 rom computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: 8, 19, 27, 17, 38, 18, 4, 27, 9, 22, 30, 17, 14, 23, 15, 14, 12, 20, 13, 18, 14, 20, 9, 27, 30, 13, 10, 19, 12, 26. construct a p chart and examine it for any out-of-control points. (round your answers to four decimal places.)

Lakendra finished working on her monthly report. in looking it over, she saw that it had large blocks of white space. what steps could lakendra take to reduce the amount of white space?