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
Plss help meeeeeeeeeeeeeeee
Olin [163]

Answer:

x=42

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
11/12 + (−7/12)= ? <br> Answer This
malfutka [58]
The answer is .333 or 1/3 (4/12)
6 0
3 years ago
Read 2 more answers
If Rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period. a. what wi
Setler79 [48]

Answer:

a. $9,425.10

b. $3,707.60

Step-by-step explanation:

5 0
3 years ago
The price of 25 tickets is $2705 dollars. Find the price of 8 tickets​
mojhsa [17]

Answer:

Step-by-step explanation:

25 tickets = $2705

1 ticket = \frac{2705}{25}

            = $108.20

8 tickets= 108.20×8

             =$865.60

7 0
3 years ago
Read 2 more answers
Sarah drank 75% of a one-pint carton of milk at lunchtime. How many ounces of milk were left in the carton?
Ludmilka [50]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • An eagle has a forward force due to its wings at 6N the drag force is 4N backwards and it's lift force is 20 N upward what is th
    6·1 answer
  • Solve<br>5(2+4m)=-2(5-10m)
    12·1 answer
  • Which of the tables represents a function?
    11·1 answer
  • The difference of two numbers is nine the larger number is one more than find the larger number
    6·1 answer
  • 5/9 + 5 4/9 lowest terms
    9·2 answers
  • A triangle has two sides that have lengths of 37 cm and 19 cm. Which could represent the possible length of the third side?
    11·1 answer
  • The $120 cost of the field trip was to be shared equally by all those attending. Since 8 less students attended than were expect
    10·1 answer
  • //g.co/doodle/tgfu9xm
    8·1 answer
  • Together, two apples have 175 gram of fat. How many apples have a total of 4 grams of fat?
    14·1 answer
  • Express 17 as a ratio of 68​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!