1. Let A = [-5 8] and B = [9 - 4]. Find A + B. A. [3 5] в. (4 4] c. [-14 12] D. [-9 17]
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- 14 - Since b =2i ̂-j ̂-3k ̂ and c =i ̂-5j ̂+k ̂, what is the result of ( b . c )? a) 4 B) 5i ̂-2j ̂+3k ̂ NS) -16i ̂-5j ̂-25k ̂ D) 16i ̂+5j ̂+25k ̂ TO) 3If Cov(X,Y) = 270, then what is Cov(16X, 3Y)? If Cov(X,Y) = 13, then what is Cov(.50X, 100Y)? If Cov(X,Y) = 404, then what is Cov(12X,19Y)? If Cov(X,Y) = 639, then what is Cov(19X,10Y)? Suppose Cov(X,Y) = 43. What is Cov(0.23X, 0.33Y)? Suppose Cov(X,Y) = 872. What is Cov(0.99X, 0.86Y)? If Cov(X,Y) = 808, then what is Cov(10X,4Y)? If Cov(X,Y) = 100, then what is Cov(2X, 10Y)? If Cov(X,Y) = 830, then what is Cov(10X, 1Y)? If Cov(X,Y) = 450, then what is Cov(1X,10Y)?Vx (-y +2,22 +323, 2233) =? 0 (3y -3222, 223, -2 + 2) 0 (-3y +3X372, -332, 1 + 2x) 0 (2y +2224-423,1 + 22) 0 (-34-3222, 42,1 +22) 0 (-3y +322y2, -3'2, 1 + 2)
- A recording company is to release 90 new CDs in the categories of rock, country, jazz, and classical. If twice the number of rock CDs is to equal three times the number of country CDs and if the number of jazz CDs is to equal the number of classical CDs, how can the CDs be distributed among the four types? (Let x be the number of rock CDs, y the number of country CDs, z the number of jazz CDs, and w the number of classical CDs. Let w be the parameter.)If a, b, c are real numbers and b different from 0, find the relationships between a, b, c and the numbers q, r and s for which the linear systemAX+BY=CQR+RY=S(a) has no solutions.(b) has infinitely many solutions.(c) has exactly one solution.Two students are named to present their work from a class of 12 students: 3 from electrical department, 5 from telecommunication department and 4 from computer department. Let X denote the number of chose electrical students. and Y is the number of chose telecommunication students. Find: a. Px,y(x,y) b. E[X] c. P(X≤1|Y≤ 1)