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- attached belowWhat program did you use to type in your code to create the graph?Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of the pieces is a rook, which can move from its current square any number of spaces either vertically or horizontally (but not diagonally) in a single turn. Discuss how you could use graphs to show that a rook can get from its current square to any other square on the board in at most two turns. You’re encouraged to utilize relevant graph definitions, problems, and algorithms where appropriate.
- On the following graph, use the green point (triangle symbol) to shade consumer surplus in Cambodia after China's clothing industry expands. Then use the purple point (diamond symbol) to shade producer surplus. Overall, (NEITHER IMPORT OR EXPORT, EXPORT, IMPORT OR IMPORT & EXPORT) countries benefit from the fall in the world price of clothing, while (NEITHER IMPORT OR EXPORT, EXPORT, IMPORT OR IMPORT & EXPORT) countries are harmed by the price change.an "x" in the table below indicates a direct route between the corresponding cities. draw a graph that represents this information, in which each vertex represents a city and an edge connects two vertices if there is a train route between the corresponding cities. city A B C D E F A - X X B - X X X C X - X X X D X X - E X X X - X F X X X -Three instructors, Ms. Busby, Mr. Butler, and Mrs. Hutchison, assign projects in their precalculus classes. Some students use graphing calculators with their project, and some do not. The following table summarizes the number of students in each type of project: Calculator No Calculator Total Calculator Busby Butler Hutchinson Total 14 11 19 44 18 39 29 83 No Calculator 12 26 6 (a) Form a related table with entries that are relative frequencies. (Round your answers to three decimal places.) Busby Hutchinson 28 Butler (b) Based on the relative frequencies, estimate the probability that a student selected at random uses a graphing calculator. (Round your answer to three decimal places.) (c) Based on the relative frequencies, estimate the probability that a student selected at random is Ms. Busby's student and does not use a graphing calculator. (Round your answer to three decimal places.) (d) Based on the relative frequencies, estimate the probability that a student selected at random is…
