If the monthly machine repair and maintenance cost X in a certain factory is known to be normal with mean $14, 000 and standard deviation $3, 000, what is the probability that the repair cost for the next month will exceed the budgeted amount of $17, 750

The ratio of rock songs to dance songs on jonathan’s mp3 player is 5: 6. the total number of rock and dance songs jonathan has is between 101 120. how many rock songs does he have?

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.