Answer:
a) The mean number of radioactive atoms that decay per day is 81.485.
b) 0% probability that on a given day, 50 radioactive atoms decayed.
Step-by-step explanation:
Poisson distribution:
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.
a. Find the mean number of radioactive atoms that decayed in a day.
29,742 atoms decayed during 365 days, which means that:

The mean number of radioactive atoms that decay per day is 81.485.
b. Find the probability that on a given day, 50 radioactive atoms decayed.
This is P(X = 50). So

0% probability that on a given day, 50 radioactive atoms decayed.
Answer:
112-7v
Step-by-step explanation:
A
This app won't let me do short answer
Answer:
The sum of x and y is 8.
Step-by-step explanation:
x+2y=10
x-2y=2
------------
2x = 12, so x = 6. Substituting 6 for x in the 2nd equation, we get:
6 - 2y = 2, or
4 = 2y, or y = 2. The solution is therefore (6, 2).
The sum of x and y is 6 + 2 = 8 (answer)