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2 years ago

What is the value of pi based on the equation for the best-fit line?.

Mathematics

1 answer:

tangare [24]2 years ago

3 0

The line of best fit is used to illustrate a linear regression.

The value of pi based on the equation for the best-fit line is 3.0017

<h3>How to determine the value of pi</h3>

The equation of the line of best fit is given as:

$C = 3.0017 D + 0.3268$

Where:

C represents the circumference
D represents the diameter

The circumference of a circle is calculated as:

$C = \pi D + k$

Where k represents a constant.

By comparison, we have:

$\pi D = 3.0017D$

Cancel out D

$\pi = 3.0017$

Hence, the value of pi is 3.0017

Read more about line of best fits at:

brainly.com/question/17261411

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2 years ago

Express the product in simplest form.

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$\frac{8}{2x+8} * \frac{ x^{2}-16 }{4}$

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2, 6, 10, 14, ...

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The sequence can be represented by $2 + 4x$ , where $x$ is a whole number( $x \geq 0$ and $x$ is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to $2 + 4x$ and confirm that there is a whole number x which equals the values selected.

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When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.

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$2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark$

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