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
The missing value for 
is 
Explanation:
It is given that the equation for the table is 
The table has 2 column with 5 rows.
Thus, we have,
x y
-2 10
-1 ---
0 2
1 -2
2 -6
We need to determine the value of y when
The value of y can be determined by substituting in the equation
Thus, we have,
Multiplying the term within the bracket, we have,
Adding the terms, we have,
Thus, the value of y when is 6.
Hence, the missing value for is
Well, since it only asking about the product, you don't have to multiply the result
The product would be :
3 x 2 = 6
3x 20 = 3 x 2 x 10 = 60
3 x 200 = 3 x 2 x 10 x 10 = 600
hope this helps
Answer:
The width of the prism is 2 cm
Step-by-step explanation:
The given parameters are;
The volume of the prism = 170 cm³
The length of the prism = 5 cm
The height of the prism = 17 cm
The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w
Therefore;
The volume of the prism = 5 cm × 17 cm × w = 170 cm³
Which gives;
w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm
∴ The width of the prism = 2 cm.
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