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Aliun [14]
3 years ago
11

Probability.....................................

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

1) Mutually exclusive

2) Overlapping or inclusive

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Write the decimal as a percent.<br> 0.487 = ??
pishuonlain [190]

Answer:

48.7%

Step-by-step explanation:

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3 years ago
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1.There are 32 adults and 20 children at a shool play.Which of these ratios is not equivalent to the ratio of adults to children
OLEGan [10]
Well it have to be D because 32 and 20 can not go into 64 to 40 because 32 times 64 is 2048 and 64 times 20 is 1280 and if it was 40 times 32 and 20 it will still be higher. I HAVE FAITH IN YOU.
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Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
How do I write 10^4 as a product of the same factor
mars1129 [50]
10x10x10x10, you have to multiply 10 by 10 four times, since it's 10 to the power of 4.

8 0
3 years ago
HURRY PLEASE
Delicious77 [7]

Answer:

Infinite solutions

Step-by-step explanation:

2x−7y=12 (1)

−x+3.5y=−6 (2)

(2) x = 3.5y + 6

(1) 2(3.5y+6) - 7y = 12

7y + 12 - 7y = 12

12 = 12 (a true statement)

Since the variable got eliminated and we got a true statement, the system has infinitely many solutions.

One of the solutions:

(6,0)

8 0
2 years ago
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