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Greeley [361]
3 years ago
11

Someone please help, with a cherry on top?

Mathematics
1 answer:
denpristay [2]3 years ago
3 0
Your answer is 4.8. hope this helps
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When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

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:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda 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:

\lambda = \frac{29742}{365} = 81.485

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

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
2 years ago
Show how the perfect numbers 6 and 28 were generated. Show the aliquot parts of 6 and 28
Mashutka [201]

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.

3 0
3 years ago
Perform the indicated row operation:
alexandr1967 [171]

Answer:

answers down below

Step-by-step explanation:

lol i hope it's this one

5 0
2 years ago
Read 2 more answers
Find the area of a circle if the diameter is 13
horrorfan [7]


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

4 0
2 years ago
What is the five-number summary for this data set?
Natali [406]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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