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.
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
