Gsuppose that the leathernecks football team has decided to try a play involving a medium pass up the middle (lp). they know that their opponents, the bisons, have three possible defensive strategies (states of nature). one, occurring with a 0.25 chance, is that they will defend against the run, in which case the leathernecks will gain 16 yards. another, occurring with a 0.5 chance, is that they will defend against the medium pass, in which case the leathernecks will gain zero yards. the other possibility, occurring with a 0.25 chance, is that they will defend against the long pass, in which case the leathernecks will gain an average of 8 yards.  what is the expected  utility  of the play for the leathernecks?   assume the team  gets linear utility, ut(yards) = y

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

What rotation was applied to triangle def to create d’e’f’?

Which term applies to agb and dge? a. obtuse b. supplementary c. complementary d. vertical