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
ZanzabumX [31]
3 years ago
11

13. En un pueblo, 5 personas escucharon una noticia. En una hora, cada una de ellas

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

5+5^{2}=30 (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

5^{1}+5^{2}+5^{3}+...+5^{x}>19000 (II)

Buscamos el valor de x que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000

19530>19000

El valor de x que satisface (II) es x=6.

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro x=6, el número de horas que pasaron son 5 horas (1 menos que el valor de x)

Todo el pueblo se habrá enterado en 5 horas de la noticia.

You might be interested in
What is a equivalent fraction and decimal to 3 ones and 7 hundreths
nasty-shy [4]
3 ones = 3
7 hundredths = 7/100

So equivalent fraction is 3 7/100 or 307/100.
Equivalent decimal is: 3.07
4 0
3 years ago
Read 2 more answers
Uma pipa é presa a um fio esticada que forma um ângulo de 45c com o solo. O comprimento do dia é 80m. Determine a altura da pipa
Crazy boy [7]
I SPEAK ENGLISH SIR umm pipi è presa a um fio
5 0
3 years ago
The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

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^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
3 years ago
Terry is 1.78 m tall.<br> Steven is 9cm taller then Terry.<br> How tall is Steven?
Anarel [89]

Answer:5.056179775

Step-by-step explanation:

9 divided 1.78

4 0
3 years ago
Read 2 more answers
Math inspection:who is right?
Pavel [41]

Answer:

I don't know

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is the median for the bar graph below?<br><br><br><br> 6<br> 5<br> 4<br> 3
    8·1 answer
  • Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY.
    5·2 answers
  • Please answer the blank questions for me
    8·1 answer
  • Describe how to multiply a one digit number and a multiple of 10
    14·2 answers
  • 8 thousands, 9 hundreds, 2 tens in standard form
    6·2 answers
  • Whats 222+444 0____0
    15·2 answers
  • a collecter has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still have her poster collection
    14·2 answers
  • Each bag juwad picked holds 15 apples. How many apples did he pick in two weeks? write an expression to represent this problem.
    7·2 answers
  • 2. Which identity could be the missing step to verify the identity (cos e )(csce)=cote? (1 point)
    14·1 answer
  • Write the equation in standard form for the circle passing through (7, 1) centered at the<br> origin
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!