Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
We have the slope  and the point
 and the point  .
.
Substitute:

 - point-slope form
  - point-slope form
Convert to the slope-intercept form (y = mx + b):
 <em>   use the distributive property</em>
      <em>   use the distributive property</em>
 <em>add 4 to both sides</em>
         <em>add 4 to both sides</em>
 - slope-intercept form
 - slope-intercept form
 
        
             
        
        
        
Answer:
(a) 0.28347
(b) 0.36909
(c) 0.0039
(d) 0.9806
Step-by-step explanation:
Given information:
n=12
p = 20% = 0.2
q = 1-p = 1-0.2 = 0.8
Binomial formula:

(a) Exactly two will be drunken drivers.



Therefore, the probability that exactly two will be drunken drivers is 0.28347.
(b)Three or four will be drunken drivers.


Using binomial we get



Therefore, the probability that three or four will be drunken drivers is 0.3691.
(c)
At least 7 will be drunken drivers.

![P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29%2BP%28x%3D6%29%5D)
![P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.06872%2B0.20616%2B0.28347%2B0.23622%2B0.13288%2B0.05315%2B0.0155%5D)
![P(x\leq 7)=1-[0.9961]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.9961%5D)

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.
(d) At most 5 will be drunken drivers.



Therefore, the probability of at most 5 will be drunken drivers is 0.9806.
 
        
             
        
        
        
Answer:
The required formula is:
                                                            
 
Step-by-step explanation:
The total number of squares of the the first term = 4
The total number of squares of the the second term = 7
The total number of squares of the the third term = 10
so,



Finding the common difference d


As the common difference 'd' is same, it means the sequence is in arithmetic.
So
If the initial term of an arithmetic progression is  and the common difference of successive members is d, then the nth term of the sequence
 and the common difference of successive members is d, then the nth term of the sequence  is given by:
 is given by:
                          
Therefore, the required formula is:
                                                            
 
 
        
             
        
        
        
Answer:
2i, if you don't understand any of the steps let me know, I'd be happy to explain.
Step-by-step explanation:
 
 
so in order -4 = -1 * 4 so then  then just solve each
 then just solve each
 
        
                    
             
        
        
        
Perpendiculare means the slopes multiply to -1
y=3/5x+10
slope is 3/5
3/5 times what is -1
-5/3 is answer
slope of perpenduclar is-5/3 find y int
y=-5/3+b
point given is (15,-5)
x=15
y=-5
-5=-5/3(15)+b
-5=-25+b
add 25 to both sides
20=b
the yintercept is y=20 or the oint (0,20)