Afactory is currently running at 85% of its original capacity, and management is considering upgrading the equipment.

the upgrade will take 6 months, during which time the factory will not run at all. once complete, the factory’s output will increase to 120% of the original capacity. after how long would the upgraded factory’s production match the current 85% production? in other words, how long will it take for the factory to make up for the loss of 6 months?

(hint: the problem can be solved using a system of equations, but any method is acceptable as long as it is justified. if you get stuck, try letting the factory’s original output be 100 units per month.)

serious answers only. i would appreciate work shown!

Which of the following questions is a statistical question? (2 points) how many professional sport leagues are there? where do the professional sport leagues play? how many hours of professional training took place over the weekend? how many hours do you spend each week training for a sports league?

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?