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3 years ago

One-variable Statistics:Question 4

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

2:The data distribution is symmetric.

Step-by-step explanation:

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James had 508 books to put into 9 boxes. how many books were in each box?

SOVA2 [1]

Answer:

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Step-by-step explanation:

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3 years ago

Please help me do it

Lana71 [14]

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

$\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}$

Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

$\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}$

We can now easily integrate this expression as follows:

$\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C$

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2 years ago

A point (–2, 6) is translated 4 units up. What are the coordinates of the new point?

Art [367]

Answer:

(-2,10)

Step-by-step explanation:

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3 years ago

sasho [114]

Answer:

20+3c

Step-by-step explanation:

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tresset_1 [31]

The answer for this problem would be letter D, 4t+2uv.

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3 years ago

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