Karen and Danielle are having a conversation about the sequence of three transformations they performed on triangleXYZ. Karen says that the sequence of transformations could be described as a single translation of (x, y)→(x+5,y−6). Danielle says that this is incorrect because the sequence cannot be represented by a single translation. Who is Correct and why?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.