Answer:
A
Hope that helps!
Step-by-step explanation:
 
        
             
        
        
        
Answer:
23%<x<43%
Step-by-step explanation:
The formula for calculating confidence interval is expressed;
Confidence Interval = p ± z√p(1-p)/n
n is the sample size
z is the z score at 98% confidence interval
n is the sample size = 120
z =  2.33
If in a randomly chosen handful of 120 beans 40 were black, then;
p = 40/120
p = 4/12
p = 0.33
CI = 0.33± 2.33√0.33(1-0.33)/120
CI = 0.33± [2.33√0.33(0.67)/120]
CI =  0.33± [2.33√0.2211/120]
CI = 0.33± [2.33(0.04292)]
CI = 0.33±0.100014
CI = (0.33-0.100014, 0.33+0.100014)
CI = (0.229, 0.430014)
CI = (22.9, 43.0014)
Hence 98% confidence interval for the proportion of black beans in the jar is 23%<x<43%.
 
        
             
        
        
        
Let's simplify step-by-step.<span><span><span><span>1+<span>8n</span></span>+<span>4n</span></span>+1</span>−<span>2n</span></span><span>=<span><span><span><span><span>1+<span>8n</span></span>+<span>4n</span></span>+1</span>+</span>−<span>2n</span></span></span>Combine Like Terms:<span>=<span><span><span><span>1+<span>8n</span></span>+<span>4n</span></span>+1</span>+<span>−<span>2n</span></span></span></span><span>=<span><span>(<span><span><span>8n</span>+<span>4n</span></span>+<span>−<span>2n</span></span></span>)</span>+<span>(<span>1+1</span>)</span></span></span><span>=<span><span>10n</span>+2
</span></span>Answer:<span>=<span><span>10n</span>+<span>2</span></span></span>
        
                    
             
        
        
        

therefore the slope of the line is 
 
 
        
                    
             
        
        
        
Answer:
55
Step-by-step explanation:
If Kathi´s line is 30cms longer than Shanking´s, you would just add 30 and 25 to get the length of Kathi´s line.