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3 years ago

5

A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that th

ey both are white?

1 answer:

Rudik [331]3 years ago

6 0

You have a 2/9 chance of it being white. It is how many of that color or number over the total, so you have a 2/9 chance of it being white.

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M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

VikaD [51]

The line segment is 10 units long

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3 years ago

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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

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3 years ago

What is the answer to 1 plus 8

Arte-miy333 [17]

Answer:

9

Step-by-step explanation:

;-;

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When are the absolute value and the opposite of a rational number equal

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|a| = -a if a < 0

The absolute value and the opposite of rational number is equal when a number is negative.

Examples:

|-7| = - (-7) = 7

|-0.5| = - (-0.5) = 0.5

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3 years ago

HELP ASAP ASAP PLEASE

boyakko [2]

Answer:

Many solutions

Step-by-step explanation:

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