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Stels [109]
2 years ago
11

I WILL MARK BRAINLIEST

Mathematics
1 answer:
Leona [35]2 years ago
5 0

Answer: B

Step-by-step explanation:

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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
An animal shelter spends $5.50 per day to care for each bird and $7.50 per day to care for each cat. Daniel noticed that the she
Anuta_ua [19.1K]

Answer:

5 birds and 3 cats

Step-by-step explanation:

It was pretty easy I just used a calculator and added the numbers together till I got the right answer.

5 0
3 years ago
Pls help me with this pls
Virty [35]
(Sorry if I get something wrong, it’s straining my eyes to see what letter) 1. A 2. U 3. S 4. J 5. I 6. M 7. H 8. B 9. Y 10. L


To find where a coordinate is on a graph you need to start with the first number (x) (let’s say the coordinate is (2, -3), so 2) and find where it is ( you always find where the first number is on the x-axis and the second number on the y, remember that by x, y and x comes first.) Then, you need to find the second number (-3) then you need to find where they meet. So 2, -3 is on the letter I.

To find what coordinates a point that’s already been plotted is to see, for example, L, the two numbers that meet where L is are -4, -3, remember whatever was on the x axis comes first, -3, -4 is not the same.

Hopefully this makes sense, I don’t normally answer stuff.
6 0
3 years ago
I need help writing the first 5 terms of the sequence!
Angelina_Jolie [31]

The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

a_{1}=1

a_{n}=a_{n-1}+3

General term of the arithmetic sequence.

a_{n}=a_{n-1}+d, where d is the common difference.

d = 3

a_{n}=a_{n-1}+3

Put n = 2 in a_{n}=a_{n-1}+3, we get

a_{2}=a_1+3

a_{2}=1+3

a_2=4

Put n = 3 in a_{n}=a_{n-1}+3, we get

a_{3}=a_2+3

a_{3}=4+3

a_3=7

Put n = 4 in a_{n}=a_{n-1}+3, we get

a_{4}=a_3+3

a_{4}=7+3

a_4=10

Put n = 5 in a_{n}=a_{n-1}+3, we get

a_{5}=a_4+3

a_{5}=10+3

a_5=13

The first five terms of the sequence are 1, 4, 7, 10, 13.

3 0
3 years ago
5000
melisa1 [442]

Answer:

can u ;ut it in english plzz

Step-by-step explanation:

8 0
2 years ago
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