Answer:

Step-by-step explanation:

Subtract 10 from both sides:

Divide both sides by  :
:

Placing  on the left:
 on the left:

For example, if the total charge is $27.50 and the distance ridden is 250 mi, we can calculate the additional cost per mile, as such:


 
        
             
        
        
            
            
                Which data set has an outlier? 25, 36, 44, 51, 62, 77 3, 3, 3, 7, 9, 9, 10, 14 8, 17, 18, 20, 20, 21, 23, 26, 31, 39 63, 65, 66, 
                umka21 [38]             
         
        
It's hard to tell where one set ends and the next starts.  I think it's
A. 25, 36, 44, 51, 62, 77
B. 3, 3, 3, 7, 9, 9, 10, 14
C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39
D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82
Let's go through them.
A. 25, 36, 44, 51, 62, 77
That looks OK, standard deviation around 20, mean around 50, points with 2 standard deviations of the mean.
B. 3, 3, 3, 7, 9, 9, 10, 14
Average around 7, sigma around 4, within 2 sigma, seems ok.
C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39
Average around 20, sigma around 8, that 39 is hanging out there past two sigma.  Let's reserve judgement and compare to the next one.
D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82
Average around 74, sigma 8, seems very tight.
I guess we conclude C has the outlier 39.  That one doesn't seem like much of an outlier to me; I was looking for a lone point hanging out at five or six sigma.  
        
                    
             
        
        
        
Answer:
0.4
Step-by-step explanation:
Given:-
 - The uniform distribution parameters are as follows:
                       a = $10,000       b = $15,000
Find:-
Suppose you bid $12,000. What is the probability that your bid will be accepted?
Solution:-
- We will denote a random variable X that defines the bid placed being accepted. The variable X follows a uniform distribution with parameters [a,b].
                                  X ~ U(10,000 , 15,000)
- The probability of $12,000 bid being accepted can be determined by the cdf function of the uniform distribution, while the pmf is as follows:
                                 Pmf = 1 / ( b - a )
                                 Pmf = 1 / ( 15,000 - 10,000 )
                                 Pmf = 1 / ( 5,000 ) 
                                  
 
 
        
             
        
        
        
Answer:
59
Step-by-step explanation:
We know that all the angles must add up to 180
so we have
38+2b-20+b-15=180
solve for b
3b+3=180
3b=177
b=59