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Minchanka [31]
3 years ago
8

ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play

er representatives from the Western Conference. Find the probability of selecting 3 Eastern Conference representatives and 2 Western Conference representatives.
a. 1/ 3003
b. 1/3
c. 56/143
d. 140/429
Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

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Can the exponent in the denominator be subtracted from the exponent in the numerator when the based are different? Explain
Vanyuwa [196]

Answer:

No, Sorry.

Step-by-step explanation:

Since the bases are different, you'll have to change them even if they have a exponent or not. If you dunno how to make the denominators the same, just multiply the two by eachother.

Example) 1/2 - 3/4

\frac{1}{2}  -  \frac{3}{4}

Multiply 2 and 4 together, and then multiply the 4 to the one also. Multiply 2 to four and also to the 3.

\frac{4}{8}  -  \frac{6}{8}

The subtract from there.

\frac{ - 2}{8}

and then Reduce (if needed.)

\frac{ - 1}{4}

4 0
3 years ago
Find sin D sin E cos D and cos E
Andrew [12]

9514 1404 393

Answer:

  sin(D) = cos(E) = (√3)/2

  cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

For this diagram, this means ...

  sin(D) = cos(E) = (13√3)/26 = (√3)/2

  cos(D) = sin(E) = 13/26 = 1/2

5 0
3 years ago
A bag contains 13 dark chocolates, 16 white chocolates, and 11 milk chocolates. Maggie’s class teacher, Jill, is very strict, an
il63 [147K]
First, we need to know the amount of the total chocolates, which is :

13          +       16                  +              11                =  40
                  White                               Milk
 
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= (16 + 11)/40
 
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Hope this helps 
 
3 0
3 years ago
1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
Andrew [12]

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Distance between B(6, 2) and C(2, -1):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Where,

B(6, 2) = (x_1, y_1)

C(2, -1) = (x_2, y_2)

BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2}

BC = \sqrt{(-4)^2 + (-3)^2}

BC = \sqrt{16 + 9} = \sqrt{25}

BC = 5 units

7 0
3 years ago
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sveta [45]

Answer:

d = -2

Step-by-step explanation:

2d - 5d = -3d

10 - 4 = 6

-3d = 6  

d = -2

Kono Dio Da!!!

5 0
3 years ago
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