Answer:
 (x + 7)(x + 8)
Step-by-step explanation:

 
        
             
        
        
        
The ratio between the masses of Jupiter and Venus is

We can separate the coefficient and the powers of ten:

Use the exponent rule

to simplify the powers of 10:

So, the ratio is

So, Jupiter has a mass that is approximately 400 times greater than Venus's.
 
        
                    
             
        
        
        
Answer:
{5, 7, 9, 11}
Step-by-step explanation:
Roster form just means list the elements of the set in the brackets. 
It says the elements are greater than or equal to five and less than or equal to 11. So we start at 5 and end at 11. 
We list {5, 7, 9, 11} because these elements follow the rule that they must be odd natural numbers. Natural numbers are the numbers you can count starting from 0 like {0, 1, 2, 3, ...}. 
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
2(x+2y)=2x+4y
2x+4y
So option B is the correct answer
 
        
                    
             
        
        
        
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4,  x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375