Carlos wants to write a computer program that produces the sequence that can be defined by the general term tn = n! , where n ∈n and n ≥ 1. for example, t1 = 1, t2 = 2 × 1, t3 = 3 × 2 × 1, t4 = 4 × 3 × 2 × 1, and so on. unfortunately, the computer programming language that he is using doesn’t understand the factorial symbol. it only understands recursive formulas. which recursive formula can carlos use in his computer program to produce the sequence?

For each proportion find the unknown number x 1/5/8=×/15

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.

What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62