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ryzh [129]
3 years ago
6

216 divided by 31

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

6 r 30

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:

             

 3 1 ⟌ 2 1 6

Step 2:

The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 3 1 ⟌ 2 1 6

Step 3:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.

       0    

 3 1 ⟌ 2 1 6

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (1) like this:

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 6:

The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 7:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1  

Step 9:

Move down the last digit of the dividend (6) like this:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 10:

The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 11:

Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

       1 8 6

Step 12:

Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

     - 1 8 6

         3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 216 divided by 31 calculated using Long Division is:

6

30 Remainder

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The correlation coefficient r between the values assumed by two variables, X
Flura [38]

The slope of the line of best fit to the raw-score scatter plot is 0.98

  • The equation is y = 0.98x - 3.74
  • The value of y given that x = 12 is 8.02

<h3>How to determine the slope of the line?</h3>

From the question, we have the following parameters that can be used in our computation:

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The slope (b) of the line is calculated as

b = r * Sy/Sx

Substitute the known values in the above equation, so, we have the following representation

b = 0.75 * 2.45/1.88

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A linear equation is represented as

y = bx + c

Where

Slope = b

y-intercept = c

In (a), we have

b = 0.98

So, we have

y = 0.98x + c

Recall that the point (13, 9) is on the line of best fit.

So, we have

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y = 0.98x - 3.74

<h3>The value of y from x</h3>

Here, we have

x = 12

So, we have

y = 0.98 x 12 - 3.74

Evaluate

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The lower quartile is the left line of the box

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