9514 1404 393
Answer:
   q = 40
Step-by-step explanation:
When the quadratic has roots p and r, it can be factored as ...
   (x -p)(x -r) = x² -(p+r)x +pr
So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...
   p + r = 14
   p - r = 6
   2p = 20 . . . add the two equations
   p = 10
   r = 14 -p = 4
The value of interest is then ...
   q = pr = (10)(4)
   q = 40
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The graph shows the roots to be 4 and 10, as we found.
 
        
             
        
        
        
Answer:
8√5 units.
Step-by-step explanation:
See the diagram in the coordinate plane attached.
A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.
The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).
Therefore, side length of the rhombus will be  
 units.
 units.
So, the perimeter of the rhombus will be (4 × 2√5) units  = 8√5 units. (Answer)
The distance between two points  and
 and  on a coordinate plane is given by
 on a coordinate plane is given by  
 
 
 
        
             
        
        
        
Doubling the side length multiplies the area by 4
        
             
        
        
        
Complete Question 
The complete question is shown on the first uploaded image 
Answer:
The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u>  There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>
 There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>  
Step-by-step explanation:
From the question we are told that the claim is 
      The mean growth rates of all four species are equal.
The  null hypothesis is  
              
Th alternative hypothesis is    
              
From question the p-value is 
   And since the  so the null hypothesis will be rejected
 so the null hypothesis will be rejected 
So  
    The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u>  There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>
 There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>  
 
        
             
        
        
        
Sry but I need more information to answer the question. So so sry!