Answer:
 <em>Mean of the sample = 27.83</em>
<em> The variance of the the sample = 106.96</em>
<em> </em><em>Standard deviation of the sample = 10.34</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample of six employees
x     26    32    29    16     45    19
mean of the sample 

Mean of the given data = 27.83
<u>Step(ii):-</u>
<u>Given data</u>
x           :       26         32           29           16           45        19
x - x⁻     :      -1.83      4.17        1.17       -11.83     17.17    -8.83
(x - x⁻)²  :    3.3489   17.3889   1.3689   139.9489  294.80 77.9689
∑ (x-x⁻)²  =   534.8245
Given sample size 'n' =6
The variance of given data 
            S²  = ∑(x-x⁻)² / n-1  
 
            
The variance of the given sample = 106.9649
<u> Step(iii):-</u>
Standard deviation of the given data

Standard deviation of the sample = 10.3423
 
        
             
        
        
        
Answer=1/24
1/3+5/8=
to solve for this, we need the denominators of the fractions to match.
The LCM of 3 and 8 is 24
1/3=8/24
5/8=15/24
8/24+15/24=23/24
Now if we're using 23/24, then only 1/24 is left.
24/24-23/24=1/24
        
             
        
        
        
The answer is 9 because half of 14 is 7, and 7+2=9
        
                    
             
        
        
        
Answer:
the last option: 
Step-by-step explanation:
Make sure you have the numerical answer for each of the functional expressions that are shown among the possible solution choices:
f(4) = -14  (what the blue function reads  [its y-value] when x is 4)
g(4) = 10  (what the red function reads [its y-value] for x=4)
g(-2) = 4 (y-value of the red function when x is -2)
f(2) = -8 (y-value of the blue function for x = 2)
f(-2) = 4 (y-value of the blue function for x =-2)
use them to compare the options they give you, and the only one that matches is the last option.