Express each claim in symbolic form.

a. at least half the students at this school carpool to campus/

b. The average number of sick days taken annually by individual faculty members at this school is 4.

c. The mean annual rainfall for this country is no more than 42"

d. More than 25% of the injuries caused by fireworks occur to hands.

e. The standard deviation of the widths of ball bearings produces by new machine is at most 0.01"

f. 89% of people using Sleep Number mattress experience improved sleep quality.

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.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

Is the point (0, 8) on the x-axis or y-axis? how do you know?