Answer:
Probability = 0.12676992
Step-by-step explanation:
The probability of selecting committee of seven composed of all Democrats.
Total number = 45+55= 100
Number of Democrats = 55
Number of committee = 7
Probability= (55C7)/(100/7)
Where C represent combination sign
Probability = (202927725/1.60075608*10^10)
Probability = 0.12676992
4)
12/16=21/b
multiply both sides by b
(12/16)b=21
now multiple both sides by (16/12)
b = 21 (16/12) =28
5)
rate is distance / time or time/distance
train travels 279 km per 1.5 hr =270/1.5
or
1.5 hr per 270 =1.5/27p
answer choice a and c matches that.
looking at choice C...270km/1.5hr=5hr/270km
looking at choice A.. 1.5hr/270km=5hr/k km
the units don't match for choice C so the
right answer is A
6)
1.5/270=5/k
multiply both sides by k
(1.5/270)k=21
now multiple both sides by (270/1.5)
k = (270/1.5)21= 900
7) 75 points per 6 game
75 points / 6 games
75/6=P/20
multiply both sides by 20
(75/6)20=P
P=250
3b+2(b-1) = 8
3b+2b-2 = 8
5b = 8+2
5b = 10
b = 2
Answer:
(x+1) (x^2+1)
Step-by-step explanation:
x^3+x^2+x+1
Factor by grouping
x^3+x^2 +x+1
Factor out x^2 from the first group and 1 from the second group
x^2( x+1) + 1( x+1)
Factor out (x+1)
(x+1) (x^2+1)
