Adirected line segment ab on he coordinate plane starts from a (3, 0) and ends at b (12, -9). find the y coordinate of point c on the line segment a that partitions the segment into a 6: 5 ratio. the answer should be a single number . round your answer to the nearest 10th if needed.

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7); m=-3/2

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

Lucy is a dress maker. she sews \dfrac47 7 4 of a dress in \dfrac34 4 3 hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable