A travel agency conducted a survey of 2000 people at a regional travel convention that had all recently vacationed. According to the survey, 52% of respondents used a travel agency to plan their vacation. 65% of those who used a travel agency booked a cruise, while the other 35% used an agency to book a different type of vacation. 25% of the respondents that did not use a travel agency booked a cruise. How many respondents reported that they had gone on a cruise?

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

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.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.