It takes Mark 1 hour to get to work each day. Mark drives from home 20 minutes to the train station at a constant rate of 42 mph. He then takes the train, traveling at a constant 60 mph, the remaining distance to work. How far does Mark live from his work place? Help please lots of points offered (55)

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

30 ! the graph shows the number of siblings different students have. select from the drop-down menus to correctly complete the statement.