Answer:
23
Steps ig
((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23
 
        
             
        
        
        
Answer:
(a) The sample sizes are 6787.
(b) The sample sizes are 6666.
Step-by-step explanation:
(a)
The information provided is:
Confidence level = 98%
MOE = 0.02
n₁ = n₂ = n

Compute the sample sizes as follows:

        
           
Thus, the sample sizes are 6787.
(b)
Now it is provided that:

Compute the sample size as follows:

        ![n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B%28z_%7B%5Calpha%2F2%7D%29%5E%7B2%7D%5Ctimes%20%5B%5Chat%20p_%7B1%7D%281-%5Chat%20p_%7B1%7D%29%2B%5Chat%20p_%7B2%7D%281-%5Chat%20p_%7B2%7D%29%5D%7D%7BMOE%5E%7B2%7D%7D)
           ![=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2.33%5E%7B2%7D%5Ctimes%20%5B0.45%281-0.45%29%2B0.58%281-0.58%29%5D%7D%7B0.02%5E%7B2%7D%7D%5C%5C%5C%5C%3D6665.331975%5C%5C%5C%5C%5Capprox%206666)
Thus, the sample sizes are 6666.
 
        
             
        
        
        
Answer:
n = -14
Step-by-step explanation:
-3(n+9)=15
Distribute -3 to (n+9):
-3n - 27 = 15
Add 27 to both sides:
-3n = 42
Divide both sides by -3:
n = -14
 
        
             
        
        
        
Answer:
1/3
Step-by-step explanation:
the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions. 
 
        
             
        
        
        
Answer: 5(x-1) 
Step-by-step explanation: