Answer:
Step-by-step explanation:
From the given information:
the mean 
= 2300
Standard deviation = 
Standard deviation (SD) = 214.4761
TO find:
a) 



From the Z-table, since 5.595 is > 3.999

P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean 
= 0.25
Replacement time for the Standard deviation 

For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation = 
= 
= 
= 
= 
= 214.482
Now; the required probability:




From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001
 
        
             
        
        
        
Answer:
B - $41,500
Step-by-step explanation:
After Subtracting his liabilities this is what I got. 
Hope this Helps!
:D
 
        
             
        
        
        
Area= Length* Width
⇒ 12 ft^2= 5 ft* Width
⇒ Width= 12 ft^2/ 5 ft
⇒ Width= 2.4 ft
The width is 2.4 ft~
        
             
        
        
        
Answer:
25, -25
Step-by-step explanation:
This is the answer. It's simple. Just think of the two lines next to the number and that can be -25 and 25. 
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
<u>Roots of a polynomial</u>
If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

Where a is an arbitrary constant.
We know three of the roots of the degree-5 polynomial are:

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

Let's build up the polynomial, assuming a=1:

Since: 


Operating the last two factors:

Operating, we have the required polynomial:
