The probability that the first two votes drawn are both for candidate a is given by:
3C2/5C2 = 3/10
Having drawn two votes for candidate a on the first two draws, there are 2 votes for candidate b and one vote for candidate a remaining. The probability that a vote for candidate b will be drawn on the third draw is:
2/3.
After the first three draws, there reains one vote for candidate a and one vote for candidate b. The probability that a vote for candidate a will be drawn on the fourth draw is:
1/2.
The probability of the ordering aabab is therefore given by:

The answer is: 0.1.
Answer:
The answer is A) -1 + 12i
Step-by-step explanation:
(7 + 3i) + (-8 + 9i)
(7 - 8) + (3 + 9)i
7 - 8 = - 1
3 + 9 = 12
- 1 + 12
The explicit formula of the sequence is given by a_n = -4n(n-1).
We have to find the first five terms of the sequence.
The first term:

The second term:

The third sum:

The fourth term:

The fifth term:

Thus, option D is correct.
OK so if 70% of students in 8th grade have siblings and 112 8th graders have siblings, then:
0.7(total 8th graders) = 112
total 8th graders = 112/0.7
total 8th graders = 160
And since the number of 8th graders is 5/6 the size of the 7th grade class:
5/6(7th grade class) = 160
5(7th grade class) = 960
7th grade class = 192.
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<span>The correct answer is D) 192.</span>
Answer:
2x.
Step-by-step explanation:
The GCF of 10 and 14 is 2,
and the GCF of x^3 and x is x.
The answer is 2x.