Answer:
P(F | C) = 0.96
Step-by-step explanation:
Hi! 
This is a problem on conditional probability. Lets call:
C = { cloudy day }
F = { foggy day }
Then F ∩ C = { cloudy and foggy day } 
You are asked for P(F | C), the probability of a day being foggy given it is cloudy. By definition:

And the data you have is:

Then: P(F | C) = 0.96
 
        
             
        
        
        
Answer:
D)4x + 6/(x + 1)(x - 1)
Step-by-step explanation:
A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

where
 is the perimeter
 is the perimeter 
 is the length
 is the length 
 is the width
 is the width 
We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so  and
 and  .
.
Replacing values:


Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula  where
 where  is the first term and
 is the first term and  is the second term. We can infer that
 is the second term. We can infer that  and
 and  . So,
. So,  . Replacing that:
. Replacing that:


We can see that the common denominator of our fractions is  . Now we can simplify our fraction using the common denominator:
. Now we can simplify our fraction using the common denominator:




We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).
 
        
             
        
        
        
Answer:
Step-by-step explanation:
To find the vertex, change the following equation into graphing form (vertex form)
(x-3)^2-4 - graphing form
The vertex is (3,-4) because you find the x intercept by doing the opposite of -3, and -4 is in the equation.
vertex= 
(3,-4)
 
        
             
        
        
        
Answer:
75/4=3/100
Step-by-step explanation:
sinple this is on proportion 
if you want crisscross the fraction
 
        
             
        
        
        
3p² - 2p - 5 = 0
3p² + 3p - 5p - 5 = 0
3p(p + 1) -5(p + 1) = 0
(3p - 5)(p + 1) = 0
p = 5/3 or -1
Hope this helps!