Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = 
 =
 =  
 
dividing π by both sides:


using square root on both the sides:

So, the radius is 
Now, putting the formula of circumference:

                               =
                               =
putting the value of π =3.14
                               =
                               =
                               =
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
 
        
             
        
        
        
9514 1404 393
Answer:
   (b)  5, 17
Step-by-step explanation:
You can try the answer choices easily enough.
   2 +3×8 ≠ 14
   2 +3×5 = 17 . . . . this choice works (5, 17)
   2 +3×2 ≠ 20
   2 +3×4 ≠ 18
   2 +3×10 ≠ 12
__
Or, you can solve the equation:
   x + (2 +3x) = 22
   4x = 20 . . . . . . . . subtract 2
   x = 5 . . . . . . . . . . divide by 4
The numbers are 5 and (22 -5) = 17.
 
        
             
        
        
        
Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation: 

In which  is the decay parameter.
 is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

The mean time for the component failure is 2500 hours. 
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations