2. Find the center and radius. Then sketch circle. x² + y? +8x-2y+15 = 0 24ニ(7ート)ナっけ) (12-ット)+ (8す2)

In Exercises 7-10, let B = {b₁, b2} and C = {C₁, C₂} be bases for R². In change-of-coordinates matrix from B to C and the each exercise, find the change-of-coordinates matrix from C to B.

Then where all = 1 a31 = a12 = * a32 = A = A-¹ = 1 ,a13 = 1 8 1 1 all a21 a31 a33 = 0 8 6 -8 2 a12 a13 a22 a23 a32 a33 a21 = ,a22 = a23 ||

Part B: Set F is finite. Answer: true or false (circle one)

For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X~ BIN (9,0.54). Assume you are about to play the game. 15. The probability that you will tame some number a or less dogs is 0.66144. What must be (round to the nearest whole number)?

Find AB