6. Under a rotation R, triangle OPQ with vertices O(0,0) P(1,0) and Q(0, 1) is mapped onto triangle OP, Q, where P, is the point (0, -1) and Q, is the
point (1, 0)
(a) Draw and label triangle OPQ and triangle o p¹q¹
(b) Describe fully the rotation R.
(c) Find the matrix representation of R-
(d) Find the coordinates of X if the coordinates of its image under R
are (0, -4)​

Abank gives 6.5% interest per year. what is the growth factor b in this situation?

Elizabeth is using a sample to study american alligators. she plots the lengths of their tails against their total lengths to find the relationship between the two attributes. which point is an outlier in this data set?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)