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Svetradugi [14.3K]
3 years ago
14

A group of individuals containingbboys andggirls is lined up in random order;that is, each of the (b+g)! permutations is assumed

equally likely. What is theprobability that the person in theith position, 1≤i≤b+g, is a girl?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

g/(b+ g)

Step-by-step explanation:

I have attached the solution below.

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Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best desc
Lelechka [254]

Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

\frac{(x^3-7x-6)}{x-4}

We need to find the remainder by using long division method.

The dividend of the given expression is

Dividend=x^3-7x-6

Divisor=x-4

The long division method is shown below.

\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

4 0
3 years ago
What are the factors of 2x^2 + 5x -12?
Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step  1  :

Equation at  step  1  :

 (2x2 +  5x) -  12

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-12  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -12  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -12 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   5 .

-24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  8  

                    2x2 - 3x + 8x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-3)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (2x-3)

            Which is the desired factorization

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3 years ago
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Step-by-step explanation:

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Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

The secret trick to factoring is the greatest common factor.

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The greatest common factor of 14 and 28 is 7. Our expression is

7(2 + 4)

The greatest common factor of 80 and 56 is 8. This makes our expression

8(10 + 7).

4 0
3 years ago
Read 2 more answers
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