2 years ago

Which line most accurately represents the line of best fit for the scatter plot?

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

8 0

Answer:

Your right, it's D.

Step-by-step explanation:

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Regina has 24 inches of ribbon for a craft project. Tommy has 2 yards of ribbon. Choose the true statement below. (1 yard = 3 fe

seropon [69]

Answer:

Step-by-step explanation:

because 24 inches is 2 feet and 2 yards is is 6 feet

3 0

2 years ago

HELP!!!

Bad White [126]

I hope this helps you

-15+6= -9

-9+6= -3

-3+6=3

add 6

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3 years ago

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Which square has a dark blue section that is 1/3 × 3/5 of the square?<br> PLEASE HELP ASAP!!!

melamori03 [73]

Hello!

1/3 × 3/5 = 3/15

The correct answer is the first rectangle, because it has a total of 15 squares, and 3 of them are shaded blue.

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3 years ago

PLZ HURRY i dont have much time

natima [27]

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2 years ago

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Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago