Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A total of 15 devices will be used.
This means that 
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that 
What is the probability that one of the devices fail?
This is 
36.58% probability that one of the devices fail
Answer:
C
Step-by-step explanation:
substitute -1 into all of the formulas, if both sides are equal, then it is correct, for C:
2(x-2)+6 = 0, sub -1
2(-1-2)+6=0, simplify and work out
2(-3)+6=0
-6+6=0
0=0
Answer:
Option A
Step-by-step explanation:
According to the second law of thermodynamics, heat always flows from hot to cold places, unless work is done on the system. In this case the ice is colder than room temperature, and therefore the heat flows from the soda to the ice cube. The ice cube absorbs the heat, and partially melts.
Answer:
41 or 47
Explanation:
First, list all the prime numbers from 40 to 60.
They are 41, 43, 47, 53 and 59.
It says the difference between each digit is 3, so we have to subtract the smaller digit from the larger digit in our list of prime numbers above.
4-1=3
4-3=1
7-4=3
5-3=2
9-5=4
Both 41 and 47 have a difference of 3 between their digits. So your answer is 41 or 47.
Hope this helped you!
Answer:
Historically, surnames evolved as a way to sort people into groups - by occupation, place of origin, clan affiliation, patronage, parentage, adoption, and even physical characteristics (like red hair). Many of the modern surnames in the dictionary can be traced back to Britain and Ireland.
Similar surnames: Leverenz, Lewerenz, Lieberg, Lieber, Lieberman, Liebert, Liebermann
Step-by-step explanation:
