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2 years ago

Which number produces an irrational number when multipled by 1/4

Mathematics

1 answer:

BabaBlast [244]2 years ago

6 0

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have $\pi = 3.141592653 ...$

On the other hand, it is necessary to know the following:

-The multiplication of two rational numbers results in a rational number.

-The multiplication of a rational number by any irrational number results in an irrational number.

This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

Therefore, the answer is: Any irrational number.

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2 years ago

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2 years ago

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slamgirl [31]

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Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

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The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

$\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}$

Now, the average of X and Y is the sum divided by N, then:

$\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}$

Replace these values in the formula and find the regression equation as follows:

$\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}$

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