Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Answer:
w = 4
YZ = 24
Step-by-step explanation:
Since, Y is a point lying between the points X and Z.
Therefore, relationship between the lengths of the segments will be,
length of segment XZ = length of XY + length of YZ
It's given in the question,
XZ = 12w - 8
YZ = 6w
XY = 4w
By substituting these values in the relation,
12w - 8 = 4w + 6w
12w - 8 = 10w
12w = 10w + 8
12w - 10w = 8
2w = 8
w = 4
Since, YZ = 6w
Therefore, YZ = 24
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<span>
it consists of a rectangle, dimensions L = 4ft and W = 3ft = Ar = 4ft x 3ft = 12 ft^2
</span>then, you have one half of the area of the circle that has diameter R = 3ft - radius will be r = 1.5ft the area of that half will be:
Ac = r^2

/ 2
= (1.5 ft)^2 x 3.14 / 2
= 2.25 ft^2 x 3.4/2
= 7.065 ft^2/ 2
= 3.5325ft^2
A = Ar + Ac
A = 12ft^2 + 3.5325ft^2
A = 15.5325ft^2
<span>At the rate of $2 per square foot, the cost will be:
$ 15.5325*2 = 31.07 </span>
There are a total of 30 integers and 10 of these are divisible by 3 (3, 6, 9, 12, 15, 18, 21, 24, 27, and 30). So the probability of getting an integer divisible by 3 is

= 1/3. The answer is letter C.
Answer:

Step-by-step explanation:
We solve the inequality similarly to how we would solve an equalitu.




Multiplying everything by -1

Simplifying by 2


8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:
