41
3 times 9 is 27 
27+14=41
        
                    
             
        
        
        
Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:

(a) the probability that a repair time exceeds 3 hours?

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.


 
        
             
        
        
        
Answer:
The answer is
<h2>( 2 , 1)</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,-8) and (8, 10)
The midpoint is

We have the final answer as
<h3>( 2 , 1)</h3>
Hope this helps you
 
        
             
        
        
        
If you would like to know the volume of the cube, you can calculate this using the following steps:
volume = length * width * height
volume = 1 * 1 * 1
volume = 1
The volume of a cube is 1.
        
             
        
        
        
Answer:
w=9x+4
Step-by-step explanation:
2(3x-3+w)=12x+2
6x-6+2w=12x+2
subtract 6x for both sides
-6+2w=18x+2
add 6 for both sides
2w=18x+8
Divide by 2 to find w
w=9x+4