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maria [59]
3 years ago
11

Put in the simplest radical form

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0
(4 \sqrt[3]{4m^2})(5m \sqrt[3]{2m^2}) = 20m \sqrt[3]{8m^4} =20m.2m \sqrt[3]{m}  =40m^2 \sqrt[3]{m}
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The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean an
aksik [14]

Say we add 5 to each element. We sum them up and divide by the number of elements (compute mean). Well we added 5n to that total sum and are dividing by n. So if the mean was 10 before, now it’s 15. (We had 10 datapoints added too 100, but we added 50, dividing by 10 we get 15).

Now every single data point is just as close to the mean as it was before. The mean shifted with 5, but so did the datapoints. Remember, variance is the sum of squared errors divided by n, or n-1 for sample. Well, the sum of squared errors did not change. So our estimate of variance remains the same as well as our estimate of standard deviation.

This is without assuming normality. (ie through the equation of mean and standard deviation themselves). In general expected values shift with constants, and variances remain stable.

7 0
3 years ago
Read 2 more answers
Can you explain how to solve this problem ​
iVinArrow [24]

Answer:

Step 1:

Start by setting it up with the divisor 10 on the left side and the dividend 179 on the right side like this:

             

 1 0 ⟌ 1 7 9

Step 2:

The divisor (10) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 0 ⟌ 1 7 9

Step 3:

Multiply the divisor by the result in the previous step (10 x 0 = 0) and write that answer below the dividend.

       0    

 1 0 ⟌ 1 7 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (7) like this:

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 6:

The divisor (10) goes into the bottom number (17), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 7:

Multiply the divisor by the result in the previous step (10 x 1 = 10) and write that answer at the bottom:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

       1 0  

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 10 = 7) and write the answer at the bottom.

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 10:

The divisor (10) goes into the bottom number (79), 7 time(s). Therefore put 7 on top:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 11:

Multiply the divisor by the result in the previous step (10 x 7 = 70) and write the answer at the bottom:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

         7 0

Step 12:

Subtract the result in the previous step from the number written above it. (79 - 70 = 9) and write the answer at the bottom.

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

     -   7 0

           9

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 179 divided by 10 calculated using Long Division is:

17

9 Remainder

Step-by-step explanation:

4 0
3 years ago
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Determine the product of 800.5×(<img src="https://tex.z-dn.net/?f=%202%5E%7B6%7D%20" id="TexFormula1" title=" 2^{6} " alt=" 2^{6
andrew-mc [135]

Answer:

  51232

Step-by-step explanation:

This is a good problem for your calculator.

3 0
4 years ago
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = 3x10^8/x What is th
Andreyy89

Answer:

.1 (or 1/10)

Step-by-step explanation:

3 * 10^9 = 3 * 10^8/x

<em>Use PEMDAS to interpret</em>

3* 10^9  = 3 * (10^8)/x

<em>Divide both sides by 3</em>

10^9 = (10^8)/x

<em>Divide both sides by 10^8</em>

10 = 1/x

<em>Find the reciprocal of both sides</em>

1/10 = x

8 0
3 years ago
Read 2 more answers
Dave paints 125 feet of the fence in 5 hours. Eric paints 175 feet in 7 hours whose rate is faster
eduard

Answer:

Erics rate is faster

Explanation: If you only get 125 feet in 5 hours, that good but, if you get 175 feet in hours, thats really good :) PLEASE MARK BRAINLIEST!!!

7 0
4 years ago
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