Answer: a) 91%  b) 9% c) 16%
Step-by-step explanation:
Let A be the event that homes for sale have garages and B be the event that homes for sale have swimming pools.
Now, given :


a) 
Hence, the probability that a home for sale has a pool or a garage is 91%.
b) The probability that a home for sale has neither a pool nor a garage is given by :-

Hence, the probability that a home for sale has neither a pool nor a garage is 9%.
c) The probability that a home for sale has a pool but no garage is given by :-

Hence, the probability that a home for sale has a pool but no garage is 16%.
 
        
             
        
        
        
Differentiating the function
... g(x) = 5^(1+x)
we get
... g'(x) = ln(5)·5^(1+x)
Then the linear approximation near x=0 is
... y = g'(0)(x - 0) + g(0)
... y = 5·ln(5)·x + 5
With numbers filled in, this is
... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)
Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get
... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95
... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1
 
        
             
        
        
        
Answer: C
Step-by-step explanation:because he will need to write an inequity to represent the total number of hours he can work each week . SO HE can see if he is making more then 120$ per week . No problem thanks me later 
 
        
                    
             
        
        
        
Answer:1/3
Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.
 
        
                    
             
        
        
        
Answer:
The car traveled 740.52 miles
Step-by-step explanation:
The only thing you need to do in this problem is to multiply the hours by the rate (mph).
3.6 × 205.7 = 740.52