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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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Hitman42 [59]

Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds

Step-by-step explanation:

10 / 1.25 = 8

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8 x 13.1 =104.8

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104.8 - 60=

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8 0
3 years ago
How do you interpret a decimals meaning as a ratio as a ratio<br> How do you interpret 0.003
agasfer [191]
The 3 is in the one-thousandths place.
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3 years ago
Determine whether the given value is a solution of the equation.
nlexa [21]

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16 is not the solution to the equation

Step-by-step explanation:

5 0
3 years ago
What is the factored form of x^2-x-2
tekilochka [14]

For this case we have:

By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.

That is to say:

Given an expression of the form x ^ 2 + (a + b) x + ab

We can factor in the following way:

(x + a) (x + b)

Since, its product is: x ^ 2 + bx + ax + ab = x ^ 2 + (a + b) x + ab,

checking the given definition.

If we have:

x ^ 2-x-2

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When making your product we obtain:x ^ 2 + x-2x-2 = x ^ 2-x-2

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(x-2) (x + 1)


6 0
3 years ago
A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con
Mashutka [201]
The tank with Chemical X "takes up" a space of 25ft³.  Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume.  The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
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To find the volume of a cylinder, we find the base area and multiply by the height.  We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
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This is the same as:
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So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.
8 0
2 years ago
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