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ValentinkaMS [17]
3 years ago
10

g A law firm has six senior and seven junior partners. A committee of three partners is selected at random to represent the firm

at a conference. What is the probability that at least one of the junior partners is on the​ committee?
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0

Answer:

133/143

Step-by-step explanation:

Let S be the sample space

Let E be the event of selecting three committee partners with at least one junior partner.

Partners in the law firm include:

Senior partners = 6

Junior partners = 7

Total partners = 13

n(S) = number of ways of selecting 3 partners from 13 = 13C3

n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286

To get n(E) i.e least 1 junior partner in the selected committee, we may have:

(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).

Therefore, the required number of way is given below:

= (6C2 x 7C1) + (6C1 x 7C2) + 7C3

= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]

= 105 + 126 + 35

n(E) = 266

Therefore, the probability P(E) that at least one of the junior partners is on the​ committee is given below:

P(E) = n(E) /n(S)

P(E) = 266/286

P(E) = 133/143

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The calculation of the interest based on the price given shows that vehicle B has a lower interest.

<h3>How to calculate the price?</h3>

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

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2 years ago
a parallelogram has a base of 3 feet and a height of 5 feet. The base and height will each be doubled. Will the area also be dou
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Answer:

No, doubling the base and height would actually quadruple the area,

Step-by-step explanation:

With the original measurements of b = 3 ft and h = 5 ft,

<em>b x h = A</em>

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So lets say we <em>doubled</em> the factors:

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We would end up with 60 feet, four times that of 15.

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The circle shown is centered at the origin and contains the point (-4, -2). What is the length of the diameter of the circle? Ro
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Step-by-step explanation:

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Answer:

HMmMm I think the answer is yes

7 0
3 years ago
Will mark as brainliest! 40 points! Thanks!
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When given a system of equations, the "solutions" are defined where two equations intersect, or meet.


A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.

B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.

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The second is (0, 5), and this is where it intersects with f(x).

C. The solution to f(x) = g(x) is 0, as this is the only x value where both equations are equal.


Hope my answer helped!

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