In a lottery game, a player picks 9 numbers from 1 to 47. If 8 of the 9 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a reduced fraction in order to earn credit.

Solve the problem. a student earned grades of c, a, b, and a in four different courses. those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. the grading system assigns quality points to letter grades as follows: a = 4, b = 3, c = 2, d = 1, and f = 0. compute the grade point average (gpa) and round the result to two decimal places. 3.40 3.50 8.75 2.18

Multiply and simplify 2x^2 y^3 z^2 · 4xy^4 x^2

Given the equation negative 4 square root x minus 3 equals 12