(1/36) = 0.0277777777778
(1/108)^3 = 7.9383224102<span> x 10^-7 </span>
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778 
(1/2)^5 =  <span>0.03125
The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is C. (1/6)^2
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Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation 
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142 
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent 
Test statistic :
 (phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home. 
 
        
             
        
        
        
Collect like terms 
6.5x-4.5x = 6+10
2x = 6+10
Divide both sides 
2x = 16
X= 8
        
                    
             
        
        
        
Answer:Ex 6.3, 13 - Solve 4x + 3y <= 60, y >= 2x, x >= 3, y >=0 - Teachoo Ex6.3, 13Solve the following system of inequalities graphically: 4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x, y ≥ 0 Now we solve 4x + 3y ≤ 60Lets first draw graph of 4x + 3y = 60Drawing graphChecking for (0,0)Putting x = 0, y = 04x + 3y ≤ 604(0 (टीचू) Maths Science GST