Its impossible there is no way to solve it because x+3.5= y no number can make 12 if one number is 3.5 ft longer than the other Ignore this i dont feel like erasing this part.
144 in. 42 in. greater than the other 42 + x = y Nvm if you convert the numbers too in. the numbers are 93 + 51 = 144 and if you convert it back it would be 
7.75 + 4.25 = 12 
 
        
             
        
        
        
I believe you would need to divide 123.75 by 7.50.
The equation would look something like this:
7.50x=123.75
Where x = # of hours worked
123.75 / 7.50 = 16.5
so x = 16.5
You worked for 16.5 hours
        
             
        
        
        
The formula for exponential decay is 

where  a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 .  2018-2012 = 6 years)

<span>y </span>≈ <span>13351.62</span>
 
        
        
        
Answer:
a) 
And replacing we got:    

b) ![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  
And the standard deviation of a random variable X is just the square root of the variance.  
Solution to the problem
Part a
We have the following distribution function:
Y        0         1         2       3
P(Y)  0.45    0.2    0.3   0.05
And we can calculate the expected value with the following formula:

And replacing we got:    

Part b
For this case the new expected value would be given by:

And replacing we got
![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)