Aroulette wheel has 15 red slots, 15 black slots, and 2 green slots. when it is spun, a metal ball has an equal chance to land in each slot. a bet on red pays even money, i. e., if the ball lands in a red slot you win an amount equal to your bet and if the ball does not land in a red slot you lose the amount you bet. you come to the roulette wheel with only $1, which you bet on red. you continue to bet all of your money on red each time the wheel is spun, until you lose. let x be the number of spins up to and including the time that you lose. what is var(x)?

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down

Which ordered pair is the best estimate for the solution of the system of equations? the graph of the system of equations : y = 3/2x +6 and y=1/4x - 2 , -3) .5, -3.5) , -4) , -3.5)