1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wlad13 [49]
3 years ago
10

When studying radioactive material, a nuclear engineer found that over 365 days,

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

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.

You might be interested in
What number is 0.68 more than 0.44?
natka813 [3]

Answer:

1.12

Step-by-step explanation:

0.68 + 0.44 = 1.12

3 0
3 years ago
-2<br> Find the slope of the line y = 3x -<br> X – 8.
lesantik [10]

Answer:

y

y = 3x - x - 8 = y = 8x

7 0
3 years ago
Thanks for your response!<br> Question will be show✔
algol13
<h3>Answer:</h3>

\large\boxed{-1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}}

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to put the numbers that were given from <em>least </em>to <em>greatest.</em>

Our given numbers are:

  • \frac{6}{40}
  • 0.35
  • 1\frac{3}{4}
  • -1\frac{16}{25}

Now, lets sort them out.

We know that negative numbers would be the least. Sicne there's only one negative number, we would put that first because it's the least out of the numbers.

\frac{6}{40} would go next. To make it easier, we can turn it into a decimal. \frac{6}{40} = 0.15 when you divide.

0.35 will go next. This would be bigger than 0.15, but lower than the next number.

1\frac{3}{4} would go last, due to the fact that it's the greatest. 1\frac{3}{4} is the same as 1.75

When you put them in order, you should get -1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
4 0
3 years ago
Although she’s only in middle school, Tameka loves to drive go - carts! Her favorite place to drive go - carts, driver’s delight
slavikrds [6]

Answer:

Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.

a. Compute the circumference of Track 1.

b. Compute the circumference of Track 2.

Step-by-step explanation:

6 0
3 years ago
20.Ju
Solnce55 [7]

Answer:

A  viable solution is the ordered pair (0,0)

Step-by-step explanation:

we know that

The number of books cannot be a negative number

The number of books is a positive integer

The weight cannot be a negative number

therefore

A  viable solution is the ordered pair (0,0)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Create a list of six values where the mean, median, and mode are 45, and only two of the values are the same.
    7·1 answer
  • X ^ 4 minus 16 ? factor between two squares
    15·1 answer
  • A spice mix contains coriander and cumin in the ratio 1/2 cup : 1/4 cup . A cup of coriander is 80 grams. A cup of cumin is 100
    8·2 answers
  • Help Please I'm Out Of Time ;(
    6·1 answer
  • What is 7 1/2+6 5/8 and can you show your work
    8·1 answer
  • Noa was paid a 25 percent commission for selling a used car.
    15·1 answer
  • Hellooo menejkfnfkdjdkdkdmmdmfjf
    14·1 answer
  • HELP IN MATH PLEASE. NEED DONE ASAP
    5·1 answer
  • Find the volume.<br> 4 yd<br> 6 yd<br> 9 yd
    6·1 answer
  • Here is a rule for generating a sequence; 3n+10 What is the 150th term of the sequence generate by this rule?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!