What is the justification for each step in solving the inequality? 3x+5/8≥4x−1/2 select from the drop-down menus to correctly justify each step. 3x+5/8≥4x−1/2 given 3x≥4x−9/8 −x≥−9/8 −x/−1≥−9/8/−1 x≤9/8 chose from multiplication or division property of order distributive property addition or subtraction property of order

If δmtv is reflected across the y-axis, what are the resulting coordinates of point m? a) (-2, 5) b) (-5, 2) c) (5, -2) d) (-2, -5)

Aschool had an election where the candidates received votes in the ratio 1: 2: 3. if the winning candidate received 210 votes, how many total people voted in the election?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?