Convert rational numbers to their equivalent decimals

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

7 0

Answer:

In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.

You might be interested in

Find the greatest common factor of 15x 2 y 3 and -20x 3 yz.

Andre45 [30]

You multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 3x^2y

7 0

3 years ago

Read 2 more answers

What expression is equivalent to 1/3(4-5x-1)?

Serhud [2]

1/3( 4 - 5x - 1)

= (1/3)(4 + - 5x + - 1)

= (1/3)( 4) + (1/3)(- 5x) + (1/3)( - 1)

= 4/3 + - 5x/3 + - 1/3

= - 5x/3 + 1 (Decimal: - 1.666667x + 1)

Hope that helps!!!!

3 0

3 years ago

Read 2 more answers

A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim

Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

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

Where:

$\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}$

Now we substitute the values, we get:

$r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}$

Solving the operations:

$r=0.858$

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.