Answer:
Standard deviation = 14.064
Step-by-step explanation:
We are given the following data;
         X                          X -  
                   
 
        20                     20 - 46 = -26                    676 
        23                     23 - 46 = - 23                    529 
        32                     32 - 46 = -14                      196 
        36                     36 - 46 = -10                      100 
        41                      41 - 46 = -5                         25 
        43                     43 - 46 = -3                          9 
        44                     44 - 46 = -2                          4 
        45                     45 - 46 = -1                           1 
        47                      47 - 46 = 1                            1 
        54                      54 - 46 = 8                        64 
        55                      55 - 46 = 9                        81 
       59                       59 - 46 = 13                      169 
        61                       61 - 46 = 15                       225 
        63                       63 - 46 = 17                      289 
        66                       66 - 46 = 20                <u>     400    </u>     
                                                      <u>= 2769 </u>
 <u>= 2769 </u> 
Firstly we will calculate Mean,  =
 =  
 
    = 45.93 ≈ 46
 = 45.93 ≈ 46 
Now, Standard deviation formula is given by;
                    s =  =
 =  = 14.064 .
 = 14.064 .
 
        
             
        
        
        
Answer:
You can put it into 3 forms:
Exact form: 19/8 
Decimal Form: 2.375 (Rounded=2.38)
Mixed Number Form: 2 3/8
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
The formula of a volume of a cube with side length a:

We have a = 6cm. Substitute:



 
        
             
        
        
        
1/4x - 2 = 3/8
First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.

Second, now we can continue solving for our variable (x). Let's add 2 to each side.

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)

Fourth, continue trying to get the variable by itself. Multiply each side by 4.

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8
Since 4 is our first common factor, it is considered our GCF.
Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.

Answer in fraction form: 

Answer in decimal form: 
