Answer:
Step-by-step explanation:
roots are (2+3i) and (2-3i)
reqd. eq. is (x-2-3i)(x-2+3i)=0
or (x-2)²-(3i)²=0
or x²-4x+9-9i²=0
or x²-4x+9+9=0
or x²-4x+18=0
 
        
             
        
        
        
A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).
<h3>What is directly proportional?</h3>
It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.
It is given that there is a proportional relationship between cost and pints of blueberries as,
Blueberries (in pints)          2      5
Cost (in dollars)                6.80   17
17/6.80 = 5/2
As we draw the graph and analyze each option one by one we get the graph shown by the statement C following the given proportional relationship.
Thus, a coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).
Learn more about the directly proportional here:
brainly.com/question/16937826
#SPJ2
 
        
             
        
        
        
Answer:
The 99% of a confidence interval for the average maximum HP for the experimental engine.
(536.46, 603.54)
Step-by-step explanation:
<u><em>Step:-1</em></u>
Given that the mean of the Population = 540HP
Given that the size of the sample  'n' = 9
Given that the mean of the sample = 570HP
Given that the sample standard deviation = 30HP
<u><em>Step(ii):-</em></u>
<u><em>Degrees of freedom = n-1 =9-1 =8</em></u>
<u><em>t₀.₀₀₅ = 3.3554</em></u>
The 99% of a confidence interval for the average maximum HP for the experimental engine. 


(570 - 33.54 , 570+33.54)
(536.46 , 603.54)
<u><em>Final answer</em></u> :-
<em>The 99% of a confidence interval for the average maximum HP for the experimental engine.</em>
<em>(536.46, 603.54)</em>
<em></em>
 
        
             
        
        
        
(2x-3)(x+4) —> x= 3/2 x= -4
        
                    
             
        
        
        
Answer:
50%
Step-by-step explanation:
There are 2 cards greater than 5 , that is 6 and 7 , then
P( greater than 5 ) =  =
 =  = 50%
 = 50%