Answer:
32.33% probability of having at least 3 erros in an hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The mean number of errors is 2 per hour.
This means that 
(a) What is the probability of having at least 3 errors in an hour?
Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

We want 
So

In which







32.33% probability of having at least 3 erros in an hour.
Hello!
You solve this like an algebraic equation
You first distribute the 4 and 2
4x - 20 = 2x - 20 + 2x
Combine like terms
4x - 20 = 4x - 20
subtract 4x from both sides
-20 = 0x - 20
Add 20 to both sides
0 = 0
This means that there are infinite solutions to the equation.
Hope this helps!
The required value of (g°h)(-3) is 5.
Step-by-step explanation:
Given,
g(x)= x-2 and h(x) = 4 - x
To find (g°h)(-3)
Now,
(g°h)(x) = g(h(x))
= g(4-x)
= (4-x)-2 = 2-x
So,
(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]
Answer:
C =131.88 cm
Step-by-step explanation:
We can find the circumference of a circle by using
C = pi * diameter
C = 3.14 * 42
C =131.88 cm
Answer:
B. 0.72
Step-by-step explanation:
In order to find the answer we need to use the following formula:
where:
a, b, c are the length of the sides and
the angle, so:



In conclusion,
, so the answer is B.