James is taking a test to be on a game show to win money. He has to answer 75 questions or more correctly in 3 rounds in order to be on the show. In the first round, he answered 80% of 50 questions correctly. In the second round, he answered 75% of 40 questions correctly, and in the third round, he answered 20% of 30 questions correctly. Did James win a spot on the game show? How many questions did James answer correctly?

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Which question is not a good survey question? a.don't you agree that the financial crisis is essentially over? 63on average, how many hours do you sleep per day? c. what is your opinion of educational funding this year? d.are you happy with the availability of electronic products in your state?