En un año se otorgará uno de tres premios (a la investigación, la enseñanza y el servicio) a algunos de los estudiantes, de un grupo de 25, de posgrado del departamento de estadística. Si cada estudiante puede recibir un premio como máximo, ¿cuántas selecciones posibles habría?

Answers

Answer 1

Answer:

Habría 13,800 selecciones posibles.

Explanation:

Permutar es colocar elementos en distintas posiciones.

Se llama permutación de m elementos a cada una de las diferentes ordenaciones  que se pueden hacer con esos elementos. En otras palabras, se llama permutaciones de  m elementos en n posiciones a las distintas formas en que se pueden ordenar los m elementos ocupando únicamente las n  posiciones.

En el caso de la permutación no se repiten los elementos, ya que de repetirse o ser iguales entre si, al intercambiarlos no se genera una nueva permutación.

El número de permutaciones de n elementos elegidos k a la vez es calculado como:

[tex]P=\frac{n!}{(n-k)!}[/tex]

Como los premios son distinguibles, la permutación es usada en este caso, donde n=25 y k=3

Entonces:

[tex]P=\frac{25!}{(25-3)!}[/tex]

Resolviendo:

[tex]P=\frac{25!}{(22)!}[/tex]

Recordando que el factorial es una operación matemática que indica que se deben multiplicar todos los números enteros y positivos que hay entre el número al cual deseas calcular el factorial y el número 1, entonces se obtiene:

P= 13,800

Habría 13,800 selecciones posibles.

Answer 2

La selección de los alumnos se puede realizar de 2300 formas.

Teniendo en cuenta eso, tenemos 25 estudiantes graduados para ser seleccionados para tres tipos diferentes de premios, como pabellones de investigación, docencia y servicio.

Ahora;

25C3 = 25! / 3! (25 - 3)!

25C3 = 25! / 3! 22!

25C3 = 2300

La selección de los alumnos se puede realizar de 2300 formas.

Más información: https://brainly.com/question/13387529


Related Questions

The table shows the specific heat capacities of various substances. How much energy is required to raise the temperature of 5g of air by 10°C? Use the table below to help you.

Answers

Answer:

50.25 j

Explanation:

Alex HEYYYYYYYYY

Answer:

The table shows the specific heat capacities of various substances. How much energy is required to raise the temperature of 5g of air by 10°C? Use the table below to help you.

"10 J" is WRONG

The right answer is "50.25 J"

Explanation:

hope this helps

Kinetic vs potential energy

Answers

Answer:

Kinetic energy is the energy obtained from movement while potential energy is the energy in something when it is at a height or has been manipulated in some way; it has work done to it.

Explanation:

Kinetic energy is, like I said, energy gained through movement or action. When an object stops moving, it converts into a different type of energy. Energy cannot be destroyed or created. An object with potential energy has a reference. A reference determines how high it is. The higher and heavier an object is, the more potential energy it has.

Hope this helps!

A man drops a penny V=0 off the top of the Golden Gate Bridge how fast will the penny be moving when it hits the ground? The golden hat bridge is 275 meters tall

Answers

Answer:

Vf = 73.4 m/s

Explanation:

This is the case of vertical motion where we have to find the final velocity of the penny when it hits the ground. We can use 3rd equation of motion to find the final velocity:

2gh = Vf² - Vi²

where,

g = 9.8 m/s²

h = height = 275 m

Vf = Final Velocity = ?

Vi = Initial Velocity = 0 m/s

Therefore,

2(9.8 m/s²)(275 m) = Vf² - (0 m/s)²

Vf = √5390 m²/s²

Vf = 73.4 m/s

The speed with penny dropped from the Golden Gate Bridge hits the ground is 73.4m/s.

Given the data in the question;

Since the penny was at rest before it was dropped

Initial velocity; [tex]u = 0[/tex]Height or distance of the golden hat bridge; [tex]s = 275m[/tex]

Final velocity; [tex]v = \ ?[/tex]

To determine the speed with which the penny hits the ground, we use the Third Equation of Motion:

[tex]v^2 = u^2 + 2as[/tex]

Where v is the final velocity, u is the initial velocity, s is the height of the bridge and a is acceleration due to gravity ( since its under gravity; [tex]a = g = 9.8m/s^2[/tex] )

We substitute our values into the equation

[tex]v^2 = 0 + [ 2\ *\ 9.8m/s^2\ *\ 275m]\\\\v^2 = 5390m^2/s^2\\\\v = \sqrt{5390m^2/s^2}\\\\v = 73.4 m/s[/tex]

Therefore, the speed with penny dropped from the Golden Gate Bridge hits the ground is 73.4m/s.

Learn more: https://brainly.com/question/13618089

John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the objects potential energy.

Answers

Answer:

the objects potential energy is 24500 J.

hope this helps <3

Four solutes are added to a solvent. All solutes have the same mass and solubility. The surface areas of four solutes are 2 mm2, 4 mm2, 6 mm2, and 10 mm2. Which solute will dissolve the quickest? 2 mm2 4 mm2 6 mm2 10 mm2

Answers

Answer:

The correct answer is D.) 10 mm2

Explanation:

i just did the test on edge 2020 and got it right

If four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².

What is solubility?

Solubility refers to the ability of a substance called solute to form solution with another substance called solvent.

Solubility is dependent on the surface area of the solute as solutes with larger surface area tends to dissolve faster in a solvent and vice versa.

Therefore, this means that if four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².

Learn more about solubility at: https://brainly.com/question/15560070

Jupiter's four large moons – Io, Europa, Ganymede, and Castillo – were discovered by Galileo in 1610. Jupiter also has dozens of smaller moons. Jupiter's rocky, volcanically-active moon Io is about the size of Earth's moon (7.22 x 1022 kg). Io has a radius of about 1.82 x 106 m, and the mean distance between Io and Jupiter is 4.22 x 108. If Io's orbit were circular, how many earth days would it take for Io to complete one full revolution around Jupiter? If Io's orbit were circular, what would its orbital speed be?

Answers

Answer:

The orbital speed is approximately 17,325.57 m/s

The number of Earth days it would take lo to complete its orbit is approximately 1.77 days

Explanation:

The given parameters are;

The mass of lo, m ≈ 7.22 × 10²² kg

The radius of lo, R ≈ 1.82 × 10⁶ m

The mean distance between Jupiter and lo = 4.22 × 10⁸ m

The orbital equation is given as follows;

[tex]\dfrac{m \cdot v^2}{R} = \dfrac{G \times M \times m}{R^2}[/tex]

[tex]\therefore v = \sqrt{\dfrac{G \cdot M}{R} } = \sqrt{\dfrac{ 6.67408 \times 10^{-11} \times 1.898 \times 10^{27}}{4.22 \times 10^8} } = 17,325.57 \ m/s[/tex]

The orbital speed ≈ 17,325.57 m/s

The time to complete one orbit = (2 × π × 4.22 × 10⁸)/(17325.57) ≈ 153039.94 s

The time to complete one orbit ≈ 153039.94 s ≈ 1.77 days

The number of Earth days it would take lo to complete its orbit ≈ 1.77 days.

The number of Earth days it would take lo to complete its orbit will be 1.77 days. While the orbital speed will be 17,325.57 m/s.

What is orbital speed?

The speed required to establish an equilibrium between gravity's pull on the satellite and the inertia of the satellite's motion is referred to as orbital speed.

The given data in the problem is;

m is the mass of lo≈ 7.22 × 10²² kg

R is the radius of lo ≈ 1.82 × 10⁶ m

The mean distance between Jupiter and lo = 4.22 × 10⁸ m

The orbital speed is given as;

[tex]\rm V= \sqrt{\frac{GM}{R} } \\\\ \rm V= \sqrt{\frac{6.67 \times 10^{-11} \times 1.898 \times 10^{27}}{4.22 \times 10^8} } \\\\ \rm V=17,325.57 \ m/sec[/tex]

The time to complete one orbit is given as;

[tex]\rm T=\frac{ (2 \times \pi \times 4.22 \times 10^8)}{17325.57 } \\\\ \rm T= 153039.94 \ s[/tex]

In one day  there are 86400 seconds from that calculation the number of days required to complete one orbit will be 1.77 days

Hence the number of Earth days it would take lo to complete its orbit will be 1.77 days. While the orbital speed will be 17,325.57 m/s.

To learn more about the orbital speed refer to the link;

https://brainly.com/question/541239

.
المرور
***
6. find the focal length of alens of power
-2.0D. what type of lens is this?

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Diverging lens

Explanation:

Given parameters:

Power of lens  = -2.0D

Unknown:

Focal length  = ?

Solution:

The power of lens is the reciprocal of the focal length;

   P  = [tex]\frac{1}{f}[/tex]

where  f is the focal length

 f  = [tex]\frac{1}{P}[/tex]   = [tex]-\frac{1}{2}[/tex]

The lens is a diverging lens

know the 4 types of communication skills describe each​

Answers

Answer:

There are four main types of communication we use on a daily basis: Verbal, nonverbal, written and visual.

Explanation:

1. Verbal communication is the use of language to transfer information through speaking or sign language. It is one of the most common types, often used during presentations, video conferences and phone calls, meetings and one-on-one conversations. Verbal communication is important because it is efficient.  2. Nonverbal communication is the use of body language, gestures and facial expressions to convey information to others. It can be used both intentionally and unintentionally.Nonverbal communication is helpful when trying to understand others’ thoughts and feelings.  3. Written communication is the act of writing, typing or printing symbols like letters and numbers to convey information. It is helpful because it provides a record of information for reference. Writing is commonly used to share information through books, pamphlets, blogs, letters, memos and more. 4. Visual communication is the act of using photographs, art, drawings, sketches, charts and graphs to convey information. Because people have different learning styles, visual communication might be more helpful for some to consume ideas and information.

Please answer both of them ill give you brainliest​

Answers

Answer:

0.000987313 N Im not sure HAHAHAH

what are the 5 destructive tests used in fiber analysis

Answers

Most common are destructive tests, such as stress, fatigue and micro sectioning tests. There are also methods that allow non-destructive testing (NDT), so the material can be still be used after testing. Common methods are ultrasonic, X-ray, HF Eddy Current, Radio Wave testing or thermography.

In a transverse wave wavelength can be measured as the distance between a. Two adjacent crests. b. A crest and the adjacent trough. c. A crest and the resting position. d.None of the above

Answers

Answer:

a)Two adjacent crests

Explanation:

Transverse wave is a moving wave that

in which the point of oscillation is at right angle to the direction of the wave. The particle of the medium of transverse wave usually vibrate at right angle to the wave's direction in up and down movement. Wavelength can be measured in the direction the wave is going can defined as the distance between two successive crest of the particular wave. It can be calculated as Wavelength= velocity/ frequency. Which means where there is higher frequency of the wave, then there will be shorter wavelength.

Hence, transverse wave wavelength can be measured as the distance between Two adjacent crests.

CHECK THE ATTACHMENT FOR THE WAVE FIQURE

The number of wavelengths that pass a point each per second is:
A. transverse wave
B. period
C. longitudinal
D. frequency
Pls can you help me

Answers

Explanation:

d frequency I learned it last year

The number of wavelengths that pass a point each second is referred to as the frequency of a wave. The correct option is D.

What is the frequency?

Frequency is defined as the number of cycles (or wavelengths) that pass a point in one second and is measured in units of Hertz (Hz). For example, if a wave has a frequency of 10 Hz, it means that 10 complete cycles (or 10 wavelengths) pass a point in one second.

A transverse wave is a type of wave where the particles of the medium move perpendicular to the direction of the wave motion. Examples of transverse waves include light waves and electromagnetic waves.

Period refers to the time it takes for one complete cycle of a wave to occur. It is measured in units of seconds (s) and is the reciprocal of the frequency. So, period and frequency are inversely proportional to each other.

A longitudinal wave is a type of wave where the particles of the medium move parallel to the direction of the wave motion. Examples of longitudinal waves include sound waves and seismic waves.

So, the number of wavelengths that pass a point each second is known as the frequency of a wave and is measured in units of Hertz (Hz).

Therefore, the correct answer is D. frequency.

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Hi there can you guys please help me write 2 paragraphs (4-6 sentences) about in article ("How Many Sets & Reps Should I Do? (Building the Correct Workout Plan)" (Links to an external site.)

Answers

Answer:

well, to create the correct workout plan I think the first day you should do as many reps as you can for each muscle you are targeting. you should also have a day you rest so your body's muscles can build. Monday, Wednesday, Friday are your workout days. Tuesday, Thursday, and Saturday are your rest days. And Sunday can be anything whether it's going to the gym, yoga, or another rest day. But back to the reps, the days you do reps, each day you should be trying to get one more rep/set than the last. If a person is new to working out then they should have a goal of ten rep/sets or something like that, so they don't overwork themselves or tear a muscle. I don't really have any other ideas for a workout plan besides just trying to be consistent and not overworking yourself, but I hope this helps. <3

Explanation:

You'll have to add on your own ideas to make it longer and add a bit more detail of course but I think you'll do well.

One particle has a charge of -1.87 x 10-9C, while another particle has a
charge of -1.10 x 10-9 C. If the two particles are separated by 0.05, what is
the electromagnetic force between them? The equation for Coulomb's law is
Fe = kqjge, and the constant, k, equals 9.00 x 10-9 Nm2/C2,
A. 7.41 x 10-6N
B. -7.41 x 10-6N
C. 3,70 x 10-7N
O
D. -3,70 x 10-7N

Answers

Answer:

7.41 x 10⁻²⁴ N

Explanation:

F = (K x the charges of the  two particles)/ the square of the  distance which is 0.05.

The answer is not here but it seems two of the options are the same so I'll assume its A since the answer isn't negative

Answer:

A

Explanation:

just did it

{hope it helps <3 }

Identify the correct order of increasing intermolecular force of attraction for the three most common states of matter.
A)
Liquid - solid - gas
B)
solid - liquid - gas
gas - liquid - solid
D)
gas - solid - liquid

Answers

B!! I got it off of Quizlet and may I get brainiest?

Answer:

The answer is C.

Explanation:

when climbing a steep hill, would you want a larger or smaller bicycle gear?

Answers

Answer:

Usually when climbing, it's best to be in the small front ring and the largest back ring. If your cadence is about 100 rpm, then whatever gear you're in is fine. It depends on the road, but as long as your pedaling is at a level you're comfortable with, you're fine.

Explanation:

Google answer by the way.

Please help! I’ll give brainliest! :)

Answers

Answer:

C.) Gravity

Explanation:

The projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile.

There is friction between the block and the
table.
The suspended 2 kg mass on the left is
moving up, the 4 kg mass slides to the right
on the table, and the suspended mass 4 kg on
the right is moving down.
The acceleration of gravity is 9.8 m/s
2
.What is the magnitude of the acceleration
of the system?
1. 1.67253
2. 1.9845
3. 1.75311
4. 2.47673
5. 2.1315
6. 2.058
7. 2.548
8. 1.33933
9. 1.5288
10. 2.03127
Answer in units of m/s
2
.

Answers

Answer:

5 no

Explanation:

actually the 4kg lying on table has no influence

it slides towards 4kg weight hung

as it has excess 2kg force

force=miu × m ×g

The magnitude of acceleration of the entire system is  [tex]2.1315 \;\rm m/s^{2}[/tex]. Hence, option (5) is correct.

Given data:

The masses  suspended from the table are, m = 2 kg and m' = 4 kg.

And the mass kept on the table is, m'' = 4 kg.

The frictional force will oppose the motion of mass 4 kg, kept on the table. Then the required value of frictional force is,

[tex]f = \mu \times m'' \times g\\\\f = 0.11 \times 4 \times 9.8\\\\f = 4.312 \;\rm N[/tex]

Since, the mass kept on the right side is more. Then at equilibrium,

-f + m''g + (m' +m)a = m'g

Here,

a is the magnitude of acceleration of the system.

Solving as,

-4.312+ 4(9.8) + (4 -2)a = 4(9.8)

2a = 4.312

[tex]a \approx 2.1315 \;\rm m/s^{2}[/tex]

Thus, we can conclude that the magnitude of acceleration of the entire system is  [tex]2.1315 \;\rm m/s^{2}[/tex]. Hence, option (5) is correct.

Learn more about the linear acceleration here:

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Skin cells have the function of protecting the body. What is the function of muscle cells?

Answers

Answer:

Skin serves as a protective barrier, a way to sense the world, and a layer that keeps nutrients and water inside the body. Four types of cells make up the skin, and they are produced mainly in the epidermis near the basement membrane. Keratinocytes contain structural keratin and make up the bulk of the epidermis.

Explanation:

f a substance is ionic, then it likely will

Answers

Answer:

Many ionic substances will dissolve completely in water to form an aqueous solution of cations and anions; this solution will conduct electricity.

Explanation:

Answer:

Many ionic substances will dissolve completely in water to form an aqueous solution of cations and anions; this solution will conduct electricity.

Explanation:

NEED ASAP!! 23 POINTS!! Look at the pic above and tell me the velocity, distance and time. Thanks!

Answers

Answer:

Vp = 66.67 [mi/h]

Explanation:

To solve this type of problem we must remember that speed is defined as the relationship of space between time.

speed = distance/time

7)

v = speed = 100 [km/h]

distance = 750 [km]

time = distance/speed

time = 750/100

t = 7.5 [h]

8)

v1 = 200/3 = 66.67[mi/h]

v2 = 100/1.5 = 66.67 [mi/h]

Vp = average speed = (v1+v2/2)

Vp = (66.67 + 66.67)/2

Vp = 66.67 [mi/h]

answer is 9 Billion due to the decrease in Cactus

1. Three vehicles are traveling at the same speed in the same direction on a 1 point
highway, as shown in the diagram below. If the position of the front of the
white van is -21 m, what is the point of reference?

Answers

9514 1404 393

Answer:

  The front of the black car

Explanation:

The position -21 is shown on the diagram at the front of the white van. The reference point is the position 0, which is shown on the diagram as the front of the black car.

Answer:

Explanation:

I'm answering this just so you can give the Brainliest to Squaredancefan, a master answerer in my opinion.

The reference point is where the 0 is. Everything to the right is positive and everything left of 0 is minus. 0 is the reference point because it is neither.

When you open the front door to your warm house on a cold day, which way does the heat flow? For example, which is correct to say: "Close the door, you're letting the cold in!" or "Shut the door, you're letting the heat in!".

Answers

“Close the door, you’re letting the cold in!”

Answer:

close the door your letting the cold in

GOOD MFRNING
PAGE NO.:
DATE:
cap a b
body have larger mess be holter than another of smaller
maws if they are same temperature why,
at the​

Answers

Answer:

umm im confused

Explanation:

Answer:

larger mass more the molecule more heat absorbed

and vice versa .Thats the reason ok?

What is an amu?

lol I'm asking alot of questions






Answers

Atomic Mass Unit is the answer

I have to write something here, so like hello and please help​

Answers

Answer:

the extension would be less the new extension might be 3 cm

Explanation:

Which word best describes a good scientific question? narrow-focused unanswerable broad testable

Answers

Answer:

Testable

Explanation:

Because don't you have to test the question to see if its right so It has to be testable

Answer:

Testable

Explanation:

No ex-planation

What is time ?
which clock is used to measure accurate time.​

Answers

Answer:

If this is what your asking?

Explanation:

The concept of time is self-evident. An hour consists of a certain number of minutes, a day of hours and a year of days. ... Time is represented through change, such as the circular motion of the moon around Earth. The passing of time is indeed closely connected to the concept of space

Caesium clocks I believe

What determines the amount of thermal energy of an object?

Answers

The greater the mass of a substance of a given temperature, the more thermal energy it has. or substance is temperature. When temperature is higher, the object or substance has more thermal energy.

Why are electromagnets more useful than permanent magnets in many
modern technologies?
A. A power supply is not necessary to use an electromagnet.
B. Electromagnets can be turned on and off by controlling the
current.
C. Permanent magnets with the same strength are heavier.
D. The strength of the magnetic field is more consistent in
permanent magnets.

Answers

Answer: Electromagnets can be turned on and off by controlling the current

Explanation:

B. By controlling the current, electromagnets can be turned on and off

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