If it is assumed that all (52 5) poker hands are equally likely, what is the probability of being dealt 1. a flush? (a hand is said to be a flush if all 5 cards are of the same suit.) 2. one pair? (this occurs when the cards have denominations a, a, b, c, d, where a, b, c, and d are all distinct.) 3. two pairs? (this occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.) 4. three of a kind? (this occurs when the cards have denominations a, a, a, b, c, where a, b, and c are all distinct.) 5. four of a kind? (this occurs when the cards have denominations a, a, a, a, b.)

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

Which of the following circles have their centers in the third quadrant?

Bradley and kelly are out flying kites at a park one afternoon. a model of bradley and kelly's kites are shown below on the coordinate plane as kites brad and kely, respectively: kites adbr and kely are shown on a coordinate plane. the vertices of adbr are a is at 9, 1; d is at 1, 5; b is at 9, 9; and r i which statement is correct about the two kites? (1 point) they are similar because segment br to segment db is 1: 2 and segment ke to segment yk 1: 2. they are not similar because segment br to segment db is 1: 5 and segment ke to segment yk is 1: 2. correct! they are not similar because segment br to segment db is 1: 2 and segment ke to segment yk is 1: 5. they are similar because segment br to segment db is 1: 5 and segment ke to segment yk is 1: 5.