Two random variables x and y are independent if the value of x does not affect the value of y. if the variables are not independent, they are dependent. a new random variable can be formed by finding the sum or difference of random variables. if a random variable x has mean mu subscript x and a random variable y has mean mu subscript y then the means of the sum and difference of the variables are given by the following equations. mu subscript x plus y baseline equals mu subscript x baseline plus mu subscript y nbsp mu subscript x minus y baseline equals mu subscript x baseline minus mu subscript y the distribution of a test's scores for college-bound male seniors has a mean of 1528 and a standard deviation of 312. the distribution of a test's scores for college-bound female seniors has a mean of 1490 and a standard deviation of 300. one male and one female are randomly selected. assume their scores are independent. what is the average sum of their scores

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap

Which of the following is closest to 32.9 x 7.5? a: 232 b: 259 c: 220 d: 265