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3 years ago

Given that D( x ) = 2 x , select all of the following that are true statements.

Mathematics

2 answers:

TEA [102]3 years ago

8 0

Answer:

3rd

Step-by-step explanation:

ser-zykov [4K]3 years ago

6 0

Answer:

D(x) is a function. TRUE. It is a function of x.

x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.

D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.

D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.

D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.

Step-by-step explanation:

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Read 2 more answers

What is the r-value of the following data, to three decimal places

Mrrafil [7]

<h2>Answer:</h2>

Option: A is the correct answer.

A. -0.903

<h2>Step-by-step explanation:</h2>

The formula to calculate correlation coefficient r is given by:

$r=\dfrac{n\sum xy-(\sum x)(\sum y)}{\sqrt{n(\sum x^2)-(\sum x)^2}\sqrt{n(\sum y^2)-(\sum y)^2}}$

x y xy x² y²

4 23 92 16 529

5 12 60 25 144

8 10 80 64 100

9 9 81 81 81

13 2 26 169 4

-------------------------------------------------------------------------

∑ 39 56 339 355 858

Also n=5 ( as there are 5 data points )

Hence, we get:

$r=\dfrac{5\times 339-39\times 56}{\sqrt{5\times 355-(39)^2}\times \sqrt{5\times 858-(56)^2}}\\\\\\r=\dfrac{-489}{\sqrt{254}\times \sqrt{1154}}\\$

$r=-\dfrac{489}{541.40188}=-0.9032$

Hence, the r-value of the following data, to three decimal places is:

A. -0.932

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3 years ago

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Answer:

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