Answer:
154.8
Step-by-step explanation:
20% is equal to 20/100= 0.20. So, 0.20 multiplied by 129 will give you 20% of 129 which is 25.8. If Alan ran 20% more then you add 25.8 to 129 which gives you an answer of 154.8.
Equation: 20/100= 0.2
                 0.2* 129= 25.8
                 25.8+129= 154.8
Alan ran 154.8 laps.
 
        
             
        
        
        
Answer:
The test is not significant at 5% level of significance, hence we conclude that there's no variation among the discussion sections.
Step-by-step explanation:
Assumptions:
1. The sampling from the different discussion sections was independent and random.
2. The populations are normal with means and constant variance
 There's no variation among the discussion sections
 There's no variation among the discussion sections
 There's variation among the discussion sections
 There's variation among the discussion sections

                 Df     Sum Sq       Mean sq    F value     Pr(>F)
Section     7       525.01         75             1.87            0.99986
Residuals  189    7584.11        40.13
Test Statistic = 

Since our p-value is greater than our level of significance (0.05), we do not reject the null hypothesis and conclude that there's no significant variation among the eight discussion sections.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Rewrite the system of equations as:

Subtract the second equation from the first to isolate  :
:

Plug in  into any of the equations above and solve for
 into any of the equations above and solve for  :
:

Verify that the solution pair  works
 works 
Therefore, the solution to this system of equations is:
