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tankabanditka [31]
3 years ago
14

In how many ways can a committee of size 5 be formed from 11 people? Assume that, when people are chosen for a committee, the or

der of the choices does
not matter.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

462 ways

Step-by-step explanation:

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What is 50% of the sum of the first 10 odd numbers
avanturin [10]

Answer:

50

Step-by-step explanation:

1+3+5+7+9+11+13+15+17+19= 100/2= 50

7 0
2 years ago
Norma has a credit card that uses the adjusted balance method. For the first
Stella [2.4K]

Answer:

50

Step-by-step explanation:

4 0
3 years ago
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Solve by completing the square. Round<br> x^2-4x=5
Novosadov [1.4K]

Answer: -1 and 5.

Step-by-step explanation:

x - 4x = 5 : Move the constant to the left.

x^2 - 4x - 5 = 0 : Rewrite the expression.

x^2 + x - 5x - 5 = 0 : Factor the expressions.

x(x+1) - 5(x+1) = 0 : Factor the expression.

(x+1)(x-5) = 0 : Seperate into possible cases.

x + 1 = 0, x - 5 = 0 : Solve the equations.

x = -1, x = 5 : The equation has 2 solutions.

8 0
2 years ago
Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1
ohaa [14]

\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C

8 0
3 years ago
Express in the simplest form 777:147​
Dvinal [7]

Answer:

your answer should be 37:7

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 777 and 147 is 21

Divide both terms by the GCF, 21:

777 ÷ 21 = 37

147 ÷ 21 = 7

The ratio 777 : 147 can be reduced to lowest terms by dividing both terms by the GCF = 21 :

777 : 147 = 37 : 7

Therefore:

777 : 147 = 37 : 7

3 0
3 years ago
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