Maya and sally were the two finalists in a singing competition. the person with the most votes from the audience was chosen as the winner. sally received 25% of the total votes and lost by 62,500 votes. no person in the audience was allowed to vote more than once. the equation below represents this situation, where y is the total number of votes cast and x is the number of votes maya received: x − 62,500 = 0.25y if a total of 125,000 people voted, how many votes did maya receive? do not enter comma for placeholder values. numerical answers expected!

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

The equation of line wx is y=2x-5. write an equation of a line perpendicular to line wx in slopeintercept form the contains points (-1,-2)

|z| > (1/2) {-1/2, 1/2} {z|(-1/2) < z < (1/2)} {z|z < (-1/2) ∪ z > (1/2)}