The slope will be 4/7. Let me know if you want an explanation. 
Answer: 4/7
Hope this helped!
        
                    
             
        
        
        
Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be 
 :p=0.20
:p=0.20
 :p>0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z= where
 where 
- p(s) is the sample proportion of specimens yield before the theoretical point ( ) )
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z= =0.3953
 =0.3953
and the P-value is then P(z)≈0.3463
 
        
             
        
        
        
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
![\log_{2}[\log_{2}(\sqrt{4x})]=1](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%5B%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%5D%3D1)
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is  .
.
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does  not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.
 
        
                    
             
        
        
        
Answer: Choice A) 8.742 * 10^7
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Work Shown:

Extra info:

which is a little over 87.4 million
 
        
             
        
        
        
By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9
∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°