Answer: 
A. False 
B. True 
C. True 
D.True 
Step-by-step explanation:
A. False . The significance level or alpha is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. 0.01 alpha is better than 0.05 alpha . 0.01 indicate a 1% risk of rejecting the null hypothesis when it is true . 
B. True . If the p-value is less than alpha, we reject the null hypothesis . Therefore statistically significant.
C . True . If the p-value is less than alpha, we reject the null hypothesis
D. True . Alpha will be greater than p-value . Therefore we will reject . 
 
        
             
        
        
        
Answer: The slope is -2/1
Step-by-step explanation: We go 2 up and 1 to the left, meaning we get 2 over -1, to simplify, -2/1
 Note: When we go down or to the left its negative, when we go up or to the right its positive
 
        
                    
             
        
        
        
 Answer:
W=5.3, l= 15.6
Step-by-step explanation:
Perimeter of a rectangle p=2(l+w)
P= 42
W= x
L= 5+2x therefore 42=2(5+2x+x)
42=10+6x , 32=6x
Make x subject of formula
X=32/6 x=5.3 there for w=5.3
Where L= 5+2x ; L=5+2(5.3)
L therefore = 15.6
 
        
             
        
        
        
Answer:
9x+3.45
Step-by-step explanation:
Let's simplify step-by-step.
6x+3(x+1.15)
Distribute:
=6x+(3)(x)+(3)(1.15)
=6x+3x+3.45
Combine Like Terms:
=6x+3x+3.45
=(6x+3x)+(3.45)
=9x+3.45
 
        
                    
             
        
        
        
Let's say that ST is side b
<span><span>Use the Law of Sines to find side b.</span><span> 
   b / sin(B) = a / sin(A)</span><span> 
b / sin(59°) = 7 / sin(79°)</span><span> 
                b = (sin(59°) x 7) / sin(79°)</span><span> 
                b = 6.112
That is answer B.) 6.1 yards
Hope this helps!</span></span>