1) A recreational club has 12 members. (a) In how many ways can the club choose
ID: 1941217 • Letter: 1
Question
1) A recreational club has 12 members.
(a) In how many ways can the club choose 6 members to form a volleyball team? Show work.
(b) 5 of the club members are men and 7 are women. In how many ways can the club choose 6 members to form the volleyball team, if 2 team members must be men and 4 team members must be women? Show work.
(c) If a 6-person volleyball team is selected at random from the 12 club members, what is the probability the team consists of 2 men and 4 women? Show work.
2.) In 2007, there were 740 students enrolled in an online training program, and in 2010, there were 998 students enrolled in the program. Let y be enrollment in the year x, where x = 0 represents the year 2007.
(a) Which of the following linear equations could be used to predict the enrollment y in a given year x, where x = 0 represents the year 2007? Explain/show work.
A. y = 258x + 224
B. y = 258x + 740
C. y = 86x + 740
D. y = 86x + 998
(b) Use the equation from part (a) to predict the enrollment for the year 2014. Show work.
(c) Fill in the blanks to interpret the slope of the equation: The rate of change of enrollment with respect to time is ______________________ per ________________. (Include units of measurement.)
3) Solve the system of equations using elimination by addition or by augmented matrix methods (your choice). Show work.
x+4y =2
3x+13y =4
Explanation / Answer
a) it is selcetion of random 6 from 12 = 12C6 = 924 b)5C2 * 7C4 = 350 c)p = 5C2 * 7C4 / 12C6 = 350/924 = 25/66 = 0.378 2) a) Answer C since it satisfies both the conditions b)y = 86x + 740 x = 2014-2007=7 y = 1342 c)Slope = 86 3)3x+13y= 6 3x+12y=4 => y=2 x= -6
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.