Answer:
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Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
15,000 - 2,500
=12,500 + 3,000
=15,500 - 1,000
=14,500 + 2,500
=17,000 - 3,000
=14,000 ft after 2 hours
Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
Answer:
Step-by-step explanation:
(a) 25/400 X 3,875 = $242.19
(b) 50/300 X 96 = 16 lamps
(c) 175/200 X 540.72 = 473.13
(d) 100/300 X 750 = 250 boys
(e) 133/200 X240= 159.6
