Answer: D
Step-by-step explanation:
 
        
             
        
        
        
Answer:
g = 1/2
Step-by-step explanation:
Step 1: Add 0.5g to both sides
9 + 4g = 11
Step 2: Subtract 9 from both sides
4g = 2
Step 3: Divide by 4 on both sides
g = 2/4
Step 4: Simplify
g = 1/2
 
        
                    
             
        
        
        
Answer:
P(C4) = 0.0711
Step-by-step explanation:
consider the first draw = 15/23  since it cannot be a blue ball
The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn 
the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn 
therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41
Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41
P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )
= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x + 5y = 10 into this form
Subtract x from both sides 
5y = - x + 10 ( divide all terms by 5 )
y = -  x +2 ← in slope- intercept form
 x +2 ← in slope- intercept form
with slope m = - 
• Parallel lines have equal slopes, hence
y = -  x + c ← is the partial equation of the parallel line
 x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = -  + c ⇒ c =
 + c ⇒ c = 
y = -  x +
 x +  ← equation of parallel line
 ← equation of parallel line
 
        
                    
             
        
        
        
Answer:
b/a
Step-by-step explanation:
Given,(b^-2)/a*(b^-3)
or,(b^-2+3)/a
or,b/a