Answer:
The slope of the red line is -1/2
Step-by-step explanation:
Parallel lines always have the same slope
 
        
                    
             
        
        
        
Answer:-23
Step-by-step explanation:
7-5(3)2
7-5x3x2
7-30=-23
 
        
             
        
        
        
Answer:
P-value = 0.0368
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean,  = 106.4
 = 106.4 
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
 
We use One-tailed(right) z test to perform this hypothesis.
Formula:
 
Putting all the values, we have
 
Now,  
Since,  
 
We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.
P-value can be calculated with the standard normal table.
P-value = 0.0368
P-value is lower than the significance level.
 
        
             
        
        
        
27
:) idk what else to say
        
             
        
        
        
2 is a common factor for both of them.