veah808
22.09.2019 •
Mathematics
Which ordered pairs are solutions to the inequality x+3y≥−8x ? select each correct answer.
(−5, −1)
(−6, 0)
(−1, −2)
(−16, 2)
(0, −3)
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Ответ:
Ответ:
a) 0.23
b) 0.00085
Step-by-step explanation:
6 professors
6 associate professors,
10 assistant professors,
12 instructors
Committee: 6 people
Total of combinations possible:
C₃₄,₆ = 34! = 1344904
6! 28!
(a) there are exactly two professors on the committee;
C₆,₂ * C₂₈,₄ = 6! * 28! = 15*20475 = 307125
2! 4! 4! 24!
P = 307125/1344904 = 0.23
(b) all committee members are of the same rank
All prof: C₆,₆ = 1
All assoc. prof: C₆,₆ = 1
All assist prof: C₁₀,₆ = 210
All instr: C₁₂,₆ = 924
1+1+210+924 = 1136
P = 1136/1344904 = 0.00085