Problem B: Let an be the number of of ways to lay out a walkway of n tiles, with slate tiles if the tiles are red, green, black or grey, so that no two red tiles are adjacent. (a). Write a recurrence for an. (b). Write a complete set of initial conditions. (c). Calculate a3 using your recursion from (a) and initial conditions from (b). (d). Now assume that three adjacent red tiles are not allowed (but two adjacent reds are allowed). Write a recurrence for an. (e). Write a complete set of initial conditions for your recurrence of part (d).

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.

Solve: 25 points find the fifth term of an increasing geometric progression if the first term is equal to 7−3 √5 and each term (starting with the second) is equal to the difference of the term following it and the term preceding it.

What is the distance between the points (2, 5) and (5,9)?