Answer:
Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x = 
this is our perfect fraction, now we simplify later
100x - 10x = 
90x = 
this is to confirm both fractions are equal
x is the same as as 
as 
but here x = because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to 
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
Answer:
2 Right Angled Triangles
Step-by-step explanation:
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.
Answer:
a is greater than or equal to 140
Step-by-step explanation:
Multiply both sides by 7, which cancels out the 7 and turns 20 into 140
