Answer:
x = -2
Step-by-step explanation:
 
        
             
        
        
        
Answer:
   26%
Step-by-step explanation:
The amount due is ...
   A = P(1 +rt)
   2500 = 2350(1 +r(90/360)) . . . . using ordinary interest
   2500/2350 -1 = r/4
   r = 12/47 ≈ 25.53% ≈ 26%
The rate of the loan is about 26%.
 
        
                    
             
        
        
        
Answer:
The events being a heavy smoker and having emphysema are not independent.
Step-by-step explanation:
We are given the following in the question:
Number of women = 2000
Number of heavy smoker = 340
Number of women who has emphysema = 25
Number of women who has emphysema and are heavy smoker = 21
 
P(Smoker) = 

P(emphysema) = 

P(Smoker and emphysema) = 

Two events A and B are said to be independent if

Checking conditions for independence:

Thus, the events being a heavy smoker and having emphysema are not independent.
 
        
             
        
        
        
Answer:
3183.96 ft^3
Step-by-step explanation:
let pi = 3.14 
volume of a cylinder is base * height
find the base: (area of circle) 
height is given 
container A: 
circle area = 530.66 
multiply 530.66 by the height (13) 
530.66 * 13 = 6898.58
container B: 
circle area = 530.66 
multiple 530.66 by the height (19) 
530.66 * 19 = 10082.54
Find empty space:
10082.54-6898.58 = 3183.96
 
        
             
        
        
        
The required equation of line is y=-6x-57.
Step-by-step explanation:
The point slope form of a line is
y-y_1=m(x-x_1)y−y 
1
 
 =m(x−x 
1
 
 )
Where m is slope of the line.
It is given that a line that passes through (–9, –3) and has a slope of –6.
Substitute m=-6, x₁=-9 and y₁=-3 in the above equation.
y-(-3)=-6(x-(-9))y−(−3)=−6(x−(−9))
y+3=-6x-54y+3=−6x−54
Subtract 3 from both the sides.
y=-6x-54-3y=−6x−54−3
y=-6x-57y=−6x−57
Therefore the required equation of line is y=-6x-57.