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
Monica [59]
3 years ago
13

Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte

r a long time has passed, you record the number of balls in each container every second. In 10,000 s, you find 80 times when all the balls were in one container (either one) and the other container was empty.
Required:
a. How many balls are there?
b. What is the most likely number of balls to be found in one of the containers?
Mathematics
1 answer:
natka813 [3]3 years ago
6 0

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

N \to Number of balls

For a box, the probability that there are N balls in it is:

Pr = 0.5^N

For 2 boxes, it is:

Pr = 2 * 0.5^N

From the question, we have:

\frac{80}{10000} \to Favorable outcome

To solve for N, we have:

2 * 0.5^N = \frac{80}{10000}

2 * 0.5^N = 0.008

Divide both sides by 2

0.5^N = 0.004

Take log of both sides

\log(0.5^N) = \log(0.004)

Apply law of logarithm

N\log(0.5) = \log(0.004)

Make N the subject

N = \frac{\log(0.004)}{\log(0.5)}

N =7.966

Approximate

N = 8

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

Balls \approx \frac{N}{2}

Balls \approx \frac{8}{2}

Balls \approx 4

<em>4 balls in each box</em>

You might be interested in
How many 5-millimeter-long spiders would it take to make a line of spiders 1 meter long?
Bogdan [553]

Answer:

1000

Step-by-step explanation:

10milimeter=1 centimeter

100 centimeters=1 meter

10x100=1000

Let me know if im right :)

3 0
3 years ago
Which is the simplified form of r^-7 + s^-12
makkiz [27]

Answer:

The simplified form of r^-7 + s^-12 is ----> 1/r^7 + 1/s^12

Step-by-step explanation:

3 0
3 years ago
Please help me on this question
Masja [62]

Answer:

The number is 5

Step-by-step explanation:

Let x be the number

3x+5+x = 25

Combine like terms

4x+5 = 25

Subtract 5 from each side

4x+5-5 = 25-5

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

8 0
3 years ago
Read 2 more answers
Of all rectangles with a perimeter of 12 which one has the maximum area
Vika [28.1K]

The rectangle maximum area will be A=9 square units with the length=3 and the width=3.

<h3>What is area of rectangle?</h3>

Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.

It is given that the perimeter of rectangle is P=12

So from the formula of perimeter of rectangle

2(L+W)=12

L+W=6

L=6-W

Now the area of rectangle will be

A=LxW

A=(6-W)W

Now for maximum area we will find the derivative and equate to zero.

A=(6W-W^2})

A'=6-2W=0

W=3

L=6-W=6-3=3

So the area will be

A=3\times 3=9 \ square \ units

Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.

To know more about area of rectangle follow

brainly.com/question/25292087

#SPJ4

8 0
1 year ago
Share 1 pizza equally among 3 children.<br><br> What fraction of the pizza will each child get?
Dmitry_Shevchenko [17]

Step-by-step explanation:

Pizza between three children?

How many slices???

3 0
3 years ago
Other questions:
  • If the perimeter of a rectangle is 318 inches, find the width and length. what's the answer?
    12·2 answers
  • Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three d
    9·1 answer
  • the length of a rectangle is 5 meters more than the width. the perimeter is 26 meters. write and solve an equation to find the l
    11·1 answer
  • Which equation is equivalent to 2x+5y=-2?
    7·2 answers
  • Q 5 please help me to resolve
    14·2 answers
  • Let f(×) = x - 2 and g(x) = x2- 7x -9
    13·1 answer
  • 2y+4=5x-4=<br><br> Help please
    11·2 answers
  • Samantha had 11/12 of a cup of sugar. She used 5/12 of a cup of sugar to bake muffins. How much sugar, in cups, does Samantha ha
    10·1 answer
  • IN A RECTANGLE PQRS , PR = 25 AND THE AREA IS 168. WHAT IS THE MEASURE OF PQ?
    12·1 answer
  • 6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!