Which of the following can be classified as an event? choose all that apply.
*drawing a red card from a deck of cards
*a blue marble
*choosing a math student in a group of students
*rolling a number greater than 2 on a 6-sided number cube
*7 chairs in a room

Vertical angles must check all that apply

Write the equation of the circle centered at (10,-2) with radius 2

Xtax=1. determine their canon- 1. write the following quadratic forms as v(x) ical forms, find the modal matrices (i.e. the matrices of unit eigenvectors) of the corresponding transformations and write down explicite expressions for canonical coordinates (y1, 2, y3) in terms of the original coordinates (x1, x2, x3). state what surfaces these quadratic forms correspond to: = > (a) -a x + 4x12 4x1x38x231; (b) 3-33 + 4xrj224x3122a3= 1; (c) 4a7 2x1 2x1x36x2a3 = 1. 2. solve the following systems of differential equations using the matrix exponential technique 3x 4 (a) x(0) = 5, y(0) = 1; 4x-3y 3.x y(0) = 9, y(0) = 3; -2x 6x2y