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.
Step-by-step explanation:
Perfect number is the positive integer which is equal to sum of proper divisors of the number.
Aliquot part is also called as proper divisor which means any divisor of the number which isn't equal to number itself.
<u>Number : 6 </u>
Perfect divisors / Aliquot part = 1, 2, 3
Sum of the divisors = 1 + 2 + 3 = 6
Thus, 6 is a perfect number.
<u>Number : 28</u>
Perfect divisors / Aliquot part = 1, 2, 4, 7, 14
Sum of the divisors = 1 + 2 + 4 + 7 + 14 = 28
Thus, 28 is a perfect number.
Answer:
answers down below
Step-by-step explanation:
lol i hope it's this one
A=pi times radius times radius
13 divided by 2 equals to 6.5
A=3.14 times 6.5 times 6.5
A=132.665
hope it helps
Can you choose mine as the brainliest answer
Answer:
B
Step-by-step explanation: