Answer:
9/10
Step-by-step explanation:
3^4/5^4 × 15^4/10^4=x^4/y^4
81/625 × 50625/10000= x^4/y^4
multiply
4100625/6250000=x^4/y^4
break it down by dividing it by 5
820125/1250000
divide by 5
164025/250000
divide by 5
32805/50000
divide by 5
6561/10000 = x^4/y^4
4√6561/4√10000=x/y
9/10= x/y
Answer:
0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
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 interval.
Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.
Each minute has 60 seconds, so 
Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

We want
. So
In which


0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
743 is a prime number because it has no other positive divisors besides one and itself.
I don’t think it is a function because you can’t have two 0’s on the Y axis it doesn’t work
For this Q:
mean=31
st.dev.=0.8
x=32
Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25
This z-score value corresponding to the probability of 0.8944
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