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
Archy [21]
3 years ago
9

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 973 co

mma 635 radioactive​ atoms, so 26 comma 365 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given​ day, 51 radioactive atoms decayed.
Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

A. number of decayed atoms = 73.197

Step-by-step explanation:

In order to find the answer we need to use the radioactive decay equation:

N(t)=N0*e^{kt} where:

N0=initial radioactive atoms

t=time

k=radioactive decay constant

In our case, when t=0 we have 1,000,000 atoms, so:

1,000,000=N0*e^{k*0}

1,000,000=N0

Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:

973,635=1,000,000*e^{k*365}

ln(973,635/1,000,000)/365=k

-0.0000732=k

A. atoms decayed in a day:

N(t)=1,000,000*e^{-0.0000732t}

N(1)=1,000,000*e^{-0.0000732*1}

N(1)= 999,926.803

Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197

B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.

You might be interested in
Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
vodomira [7]
(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
7 0
3 years ago
Read 2 more answers
What is $200.00 $85.00 $25.34 from least to greatest?
Assoli18 [71]

from Least to Greatest:

$25.34 < $85.00 < $200.00

4 0
3 years ago
the third term of an arithmetic sequence is 24 and the fifth is 32 if the first term is a1. which is an equation nth term of the
const2013 [10]
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
8 0
3 years ago
Read 2 more answers
Y= 4/5 x-7 what are the y and x intercepts?
solmaris [256]

The x intercept is (8.75, 0) and y - intercept is (0, -7)

<em><u>Solution:</u></em>

Given that we have to find the x and y intercepts

Given equation is:

y = \frac{4}{5}x - 7

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

<em><u>Finding x - intercept:</u></em>

To find the x-intercept of a given equation, plug in 0 for 'y' and solve for 'x'

Substitute y = 0 in given equation

0 = \frac{4}{5}x - 7\\\\\frac{4x}{5} = 7\\\\4x = 35\\\\x = \frac{35}{4} = 8.75

Thus x intercept is (8.75, 0)

<em><u>Finding y - intercept:</u></em>

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

Substitute x = 0 in given equation

y = \frac{4}{5} \times 0 - 7\\\\y = 0 - 7\\\\y = -7

Thus y - intercept is (0, -7)

7 0
3 years ago
Lossa
kupik [55]

Answer:

P= 28.28 m

diagonal (d) 10m

6 0
3 years ago
Other questions:
  • Multiply the hours of labor by $50 , then add $35 If C equals cost in dollars and h equals hours of labor , which equation expre
    10·1 answer
  • A 30% increase followed by a 15% decrease, is it greater than original, smaller or same as
    6·1 answer
  • How to do you do this
    8·2 answers
  • If a circle has a diameter of 4 inches, what is the area?
    6·2 answers
  • What is 2.48 expressed as an improper fraction in simplest form?
    13·2 answers
  • -Solve each equation. Example x+3=12 9+3=12
    14·1 answer
  • Find the exact value
    11·1 answer
  • A circle has a circumference of 1,133.54 units.What is the diameter of the circle?
    10·1 answer
  • Solve it : x² *dy/dx = -2y
    5·1 answer
  • Gilbert use 1/4 of paint from a 8 gallon container to paint the garage. how much paint in gallons are left in the container?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!