The running time for movie a is 40 minutes more than twice the running time for movie b. if the running time for movie a is subtracted from triple the running time for movie b, the result is 45 minutes. find the running times for each movie.

Robert plans to make a box-and-whisker plot of the following set of data. 27, 14, 46, 38, 32, 18, 21 find the lower quartile, the median, and the upper quartile of the set? lower quartile: 19.5; median: 29.5; upper quartile: 42 lower quartile: 14; median: 27; upper quartile: 46 lower quartile: 18; median: 27; upper quartile: 38 lower quartile: 16; median: 29.5; upper quartile: 42

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 120 lb and 161 lb. the new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 28.1 lb. a)if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb.the probability is approximately? b. if 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. the probability is approximately? c. when redesigning the ejection seat, which probability is more relevant? . part (b) because the seat performance for a single pilot is more important. b. part (b) because the seat performance for a sample of pilots is more important. c. part (a) because the seat performance for a sample of pilots is more important. d. part (a) because the seat performance for a single pilot is more important.

Question 3 (a) consider the data. 00 0 25 0.5 05 () construct the divaded difference's table for the data (u) construct the newton form of the polynomial of lowest degree that interpolates /() at these points (3) (ii) suppose that these data were generated by the function cos 2 ()=1+ 2 use the next term rule to approximate the error ip(z)- f() over the interval 0,0 5 your answer should be a pumber 3 (b) let f ((z) co+ clco, ci e r) set up the normal equations to find the least squares best fe f to approximate the data x y 2 y2 (c) find the constants a,b and c such that stz)(z-1+b(z-1)2+6(z-1)+1 cr +182-30+19- 1sz< 2 25z< 3 (9) s a natural cubic splhne [25] |turn over