Katherine conducts a survey at her school to determine the student's favorite sport. Which sampling method would best produce a representative sample of the population? a Katherine surveys seventh-grade students
b Katherine surveys the football team
c Katherine surveys every 5th student entering the school
d Katherine surveys every 6th student from the roster of band members

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 happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?