What is the average (mean) of these numbers: 13,43, 12, 3,66​

The probability density function of X is plotted for a=1/2 and a=2.

The expected value of X (E[X]) is determined.

The expected value of 1/X (E[1/X]) is determined.

The variance of X (V[X]) is determined.

The median of X is determined.

When a=1/2, the probability density function of X is given by p(X=x∣a)=((1/2)+1)x(1/2)^0=(3/2)x for x∈[0,1]. When a=2, the probability density function becomes p(X=x∣a)=(2+1)x^2=3x^2 for x∈[0,1]. To plot the probability density function, we can assign different values of x within the range [0,1], calculate the corresponding probabilities using the given formulas, and plot the points on a graph.

The expected value of X (E[X]) is calculated by integrating the product of X and its probability density function over the range [0,1]. For a=1/2, E[X] = ∫(x * (3/2)x) dx from 0 to 1. For a=2, E[X] = ∫(x * 3x^2) dx from 0 to 1. By evaluating these integrals, we can determine the expected values.

The expected value of 1/X (E[1/X]) is calculated similarly to E[X], but instead of integrating X, we integrate 1/X using the respective probability density functions for different values of a.

The variance of X (V[X]) can be computed by taking the second moment of X (E[X^2]) minus the square of the first moment (E[X]) squared. V[X] = E[X^2] - (E[X])^2. By calculating E[X^2] using the probability density function and the expected values obtained in step 2, we can determine the variances for different values of a.

The median of X is the value of X such that the cumulative distribution function (CDF) is equal to 0.5. To find the median, we integrate the probability density function from 0 to the median value and set it equal to 0.5. Solving for the median provides its value in terms of the parameter a.

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1. If an object is 80 km long in real life, it would have to appear 4cm in the model.

2.  If an object is 5 cm long in the model, it would have to appear 250  km in real life.

3a. The scale of the model is 48000 km/cm

b. The diameter of the ball representing the new planet would be 1.3125 cm

c. In this model, a 10cm diameter ball would represent a planet with 480,000 km diameter.

A scientific model is a depiction of a set of concepts, events, or processes that is physical, mathematical, conceptual, or both.

Based on the scale of the given models:

1. An object that is 80 km long in real life, would have to appear:

Size of model = 80 km * 20 km/cm

Size of model = 4 cm

2. If an object is 5 cm long in the model:

Its size in real life = 5cm * 50 km/cm

Its size in real life = 250 km

3a. The scale of the model = 84000 km/ 2 cm

The scale of the model = 48000 km/cm

b. The diameter of the ball representing the new planet = 63000 km / 48000 km/cm

The diameter of the ball representing the new planet = 1.3125 cm

c. A 10cm diameter ball would represent a planet with a diameter = 48000 km/cm * 10 cm

Diameter of the planet =  480,000 km

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Answer:

A sandwich on a table.

Explanation:

The sandwich isn't in motion like the other options.

The symbol V in the given equation is explained by the quantity theory of money. Here, V denotes the velocity of money circulation.

The quantity theory of money helps to explain the relationship between the good's price and the money supply. This relationship is explained by the Fisher equation as M×V=P×Y. Here, the total amount of the money or money supply is denoted by M, the velocity of money circulation is denoted by V, the price level is denoted by P, and the real output or real income is denoted by Y.

This theory helps to determine the value of money. This also helps to stop inflation.

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Answer:

Rigorous exercise

Explanation:

For your heart rate is been around 100 bpm you should be doing a rigorous exercise . but if ain't doing any rigorous exercise and your heart rate is constantly above 100 bpm you should consult your doctor.

An average heart is between 60 bpm to 100 bpm.

The duration of the light pulse measured by the pilot of the spaceship is approximately 34.0 μs.

What is light pulse?

A light pulse refers to a brief and localized disturbance or packet of electromagnetic radiation that propagates through space. It is a short-duration burst or wavefront of light energy.

Light pulses can be produced by rapidly changing or modulating a light source, such as a laser. By controlling the duration and intensity of the light emission, one can generate pulses of light with specific characteristics.

According to the theory of special relativity, time dilation occurs when an observer is in relative motion with respect to another observer.

The time dilation factor is given by γ = 1 / √(1 - (v²/c²)), where v is the relative velocity between the observers and c is the speed of light.

In this scenario, the spaceship is moving past Mars with a speed of 0.985c relative to the planet's surface. Since the signal light blinks on and off while the spaceship is directly overhead, the duration of the light pulse observed by the pilot can be calculated using the time dilation formula.

Given that the duration of the light pulse measured by the observer on Mars is 70.0 μs, we need to divide it by the time dilation factor to obtain the duration measured by the pilot:

Δt' = Δt / γ = 70.0 μs / (1 / √(1 - (0.985)²)) ≈ 34.0 μs

Therefore, the duration of the light pulse measured by the pilot of the spaceship is approximately 34.0 μs.

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Make a graph with the square root of the block's mass plotted on the horizontal plane and the oscillation period plotted on the vertical axis.

A mass on a spring will oscillation with a period if it is coupled to a springs with spring constant k. (T). T = 2(m/k) describes this. We may calculate the period and, thus, the frequency by measuring the length of one full oscillation. The amount of time among one wave and the next passing the same location is known as the period of oscillations (T) (or simply period). Time in seconds (s). Frequency is the opposite of period. The length of time it takes for any string component to complete an oscillations is known as a wave's oscillation period. It has great importance.

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Answer:

Explanation:

Using the efficiency formula. Efficiency = MA/VR * 100%

MA = Mechanical Advantage

VR = velocity ratio = \(\frac{distance\ moved\ by\ effort}{distance\ moved\ by\ load}\)

Distance moved by effort = 4.5m

distance moved by load = 1.5m

VR = 4.5/1.5 =3

Assuming efficiency is 100% (since friction can be ignored)

100% = MA/3 * 100%

1 = MA/3

MA = 3*1

MA = 3

Mechanical Advantage of the ramp is 3

The correct answer is: (a) An object gives another object an opposite charge without losing any of its own charge.

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The apparatus accelerates at a speed of 1.65 m/s2. One crate presses down on another with a force of 426.75 N. The force applied by one crate to the other when the containers are flipped around is 221.91 N.

Acceleration in mechanics refers to the rate of change in a moving object's velocity with respect to time. A measure of acceleration in a vector (in that they have magnitude and direction). An object's acceleration with respect to a force depends on the direction of the net force acting on it.

Although it could seem challenging, velocity is just the act of travelling swiftly in a specific direction. The rate of change in an object's location relative to a frame of reference and time is referred to as its velocity.

As a result,

The initial containers weighed 65 kg.

Weight of the second crates is 125 kg.

650 N of force

Kinetic friction coefficient is equal to 0.18 a, or 650/(65+120) - 0.18*9.8 a, which equals 1.65 m/s2.

Each box presses on the others with a force of F= 125*1.65*0.18*125*9.8 F= 426.75N.

When the containers are turned around, the force each one applies to the other

F=125*1.65*0.18*125*9.8\s

F=221.91N

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When cycling forward in a straight line, the knee is rotating about a(n) horizontal axis.

Cycling, often known as bicycling or biking when done on a two-wheeled bicycle, refers to the use of cycles for transportation, recreation, exercise, or sport. Cycling enthusiasts are known as "cyclists," "bicyclists," or "bikers." In addition to riding a two-wheeled bicycle, "cycling" also refers to using a recumbent bike or other comparable human-powered vehicles (HPVs), such as a unicycle, tricycle, or quadricycle.

Since their invention in the 19th century, bicycles have grown to almost one billion in number globally. In many regions of the world, especially in heavily populated European towns, they are the main form of transportation. For short to medium distances, cycling is widely regarded as an effective and efficient means of transportation.

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The voltage across the wire-wound resistor has a resistance of 200 ohms and the current across this circuit of 0.08 amperes will be 160 V.

Ohm's Law is a formula which is used to calculate the relationship between voltage or potential difference across the circuit, the electric current and resistance in an electrical circuit.

The expression for this law will be:

V = IR

where, V is the voltage,

I is the electric current,

R is the resistance across the circuit

V = IR

V = 200 × 0.8

V = 160 volts.

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Answer:

When water freezes to form ice, the molecules would be vibrating in place rather than moving round. It is a result of a decrease in the kinetic energy of the molecules of water. It is said that the temperature and the kinetic energy of the molecules is directly proportional which means that when temperature is increased, the kinetic energy of the molecules would increase as well making the molecules move around. However for this case, when we day the system is cooled then it means the temperature is decreased which would result to the decrease of the kinetic energy of the molecules.

Answer:

I don't know

Explanation:

There is not enough info to solve this problem...

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Answer:The Answer Is D

Explanation:

(a) The net would stretch by 0.21 m if the same person were lying in it. (b) The net would stretch by approximately 1.95 m if the person jumped from 30 m.

(a) We can use Hooke's Law, which states that the force applied to an elastic material is directly proportional to the resulting deformation. Therefore, the force applied by the person's weight is equal to the force exerted by the stretched net. Using F = kx, where F is the force, k is the spring constant, and x is the deformation, we can solve for x. Rearranging the formula to x = F/k, and substituting the values, we get x = (749.8)/k. Since the person is lying in the net, we can assume that the deformation is the same as the stretch. Therefore, 1.3 m = (749.8)/k. Solving for k, we get k = 452.03 N/m. Substituting this value in the formula for x when the person jumps, we get \(x = (74*9.8)/452.03 = 0.21 m.\)

(b) Using the same formula, we can solve for the deformation when the person jumps from 30 m. In this case, the force applied to the net is not just the person's weight, but also the force due to their velocity. We can calculate this force using the formula F = ma, where m is the person's mass, and a is their acceleration due to gravity (9.8 m/s^2). When the person reaches the net, their velocity would be zero, so we can assume that all of their kinetic energy was converted into potential energy, which is stored in the net. Using the formula for potential energy, we can calculate the force exerted by the person's velocity. The total force applied to the net is the sum of the force due to the person's weight and the force due to their velocity. Using F = kx, we can solve for x. Substituting the values, we get x = 1.95 m (approximately).

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Answer:When two sound waves from two identical sources interfere with each other constructively, the sound intensity at the point of constructive interference is maximum. On the other hand, when the two waves interfere destructively, the sound intensity at the point of destructive interference is minimum.

In this problem, Riki is standing in the middle of two identical loudspeakers that are 8 m apart and face each other, and the speakers are driven in phase by the same oscillator at a frequency of 800 Hz. This means that Riki will experience constructive interference at the point where the distance traveled by the sound waves from each speaker to Riki differs by an integer multiple of the wavelength of the sound waves.

The wavelength of sound waves at a frequency of 800 Hz in air is:

λ = v/f = 344 m/s / 800 Hz = 0.43 m

Let x be the shortest distance that Riki can walk towards either speaker to hear a minimum of sound. In order to have destructive interference at Riki's position, the distance traveled by the sound waves from one speaker should be (n + 1/2)λ farther than the distance traveled by the sound waves from the other speaker, where n is an integer. This can be expressed as:

∣x - (n + 1/2)λ∣ = (m + 1/2)λ

where m is also an integer. In other words, the absolute difference between the distances traveled by the sound waves from each speaker and the distance traveled by Riki should be equal to an odd multiple of half the wavelength.

To find the shortest distance x, we need to find the smallest possible value of m. Since the wavelength is much smaller than the distance between the speakers, we can assume that the sound waves from each speaker travel straight towards Riki, and we can use the Pythagorean theorem to calculate the distance traveled by each sound wave:

d1 = sqrt((8/2 - x)^2 + Riki^2)

d2 = sqrt((8/2 + x)^2 + Riki^2)

where d1 is the distance traveled by the sound wave from the left speaker, d2 is the distance traveled by the sound wave from the right speaker, and Riki is the distance from the midpoint between the speakers to Riki.

Substituting the values into the equation, we get:

∣sqrt((8/2 - x)^2 + Riki^2) - sqrt((8/2 + x)^2 + Riki^2)∣ = (m + 1/2)λ

Squaring both sides and simplifying, we get:

x = (8mλ^2)/(32Riki)

Now, we need to find the smallest value of m that satisfies the condition for destructive interference. Since the wavelength is 0.43 m and we want an odd multiple of half the wavelength, we can substitute m = 0, 1, -1, 2, -2, etc. into the equation and find the corresponding value of x for each case. We then choose the smallest positive value of x, which corresponds to the minimum sound intensity.

For m = 0, we have:

x = (8*0.5*0.43^2)/(32*Riki) = 0.0007Riki

For m = 1, we have:

x = (8*1.5*0.43^2)/(32*Riki) = 0.0021Riki

For m = -1, we have:

x = (8*(-0.5)*0.43^2)/(32*Riki) = -0.0004Riki

For m = 2,

Explanation:

The shortest distance Riki can walk towards either speaker to hear a minimum of sound is half of the wavelength.


We can use the formula wavelength = speed of sound / frequency to find the wavelength of the sound wave produced by the speakers.

wavelength = 344 m/s / 800 Hz = 0.43 m

Since Riki is standing in the middle of the two speakers, the distance to each speaker is equal. Therefore, the distance from Riki to either speaker is 8 m / 2 = 4 m.

To find the shortest distance Riki can walk towards either speaker to hear a minimum of sound, we need to find half of the wavelength.

Half of the wavelength = 0.43 m / 2 = 0.215 m

Converting this to centimeters, we get:

Shortest distance = 0.215 m x 100 cm/m = 21.5 cm

Therefore, Riki needs to walk towards either speaker by a distance of 21.5 cm to hear a minimum of sound.

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Answer:

No. ... UV light causes sunburn, whereas visible light does not.

Explanation:

The light energy produced from a light bulb is far low compared to the light energy produced by the sun. The heat energy also greatly differ in both.

Light energy is a form of energy produced by stars and man made devices. One form of energy can be transformed into other form without destroying the energy.

The source of light and heat energy in stars is nuclear fusion. Fusing of two light nuclei forming a heavy nuclei accompanies the release of tremendous amount of energy.

In a light bulb, the electrical energy is converted to light energy and some energy is lost in the form of heat energy. The light the white light produced by a bulb cannot be as intense as the white lite from sun.

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Answer: 10 meters

Explanation:

Gravitational potential energy equation= \(E_{G\)=mgh

When we rearrange using Algebra we get \(h=\frac{E_{G} }{mg}\)

Plugging everything in we get \(h=\frac{196J}{(9.80m/s^2)(2kg)}\)

Final answer is 10 meters

Some people may give up their rights out of fear or trepidation. However, you must recognize that using your rights is a kind of self-defense, not a challenge to the police.

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When more than three notes are sounded together, but the number of pitch names in the set is only three (arranged from alternate steps of the scale), a(n) **triad** is produced.

A triad is a chord that consists of three notes played simultaneously. It is constructed by taking every other note from a scale. For example, in the C major scale, the notes C, E, and G form a triad. These three notes are the first, third, and fifth notes of the scale, respectively. Triads are the foundation of many chords and are commonly used in music theory and composition.

Answer:

337.5 N.

Explanation:

Force is equal to the law: m.a

where m: mass, a: acceleration

I think it is a education tips

Answer:

I believe that this is a multiple choice answer so

Explanation:

The answer is D or,

"Some of the mass is converted into energy."

Answer:

1. 5 V

2. A₂ = 1.2 A

Explanation:

1. Determination of the voltage measured at R₃.

Voltage at R₁ (V₁) = 1 V

Voltage at R₂ (V₂) = 6 V

Total voltage (Vₜ) = 12 V

Voltage at R₃ (V₃) =.?

Vₜ = V₁ + V₂ + V₃

12 = 1 + 6 + V₃

12 = 7 + V₃

Collect like terms

12 – 7 = V₃

V₃ = 5 V

Thus, the voltage measured at R₃ is 5 V

2. Determination of A₂.

From the circuit diagram, we can see that the resistors are in series arrangement. This means that the same current will pass through each resistor.

Thus,

A₂ = A₁ = 1.2 A

The approximate radius is 3.704 x 10⁻¹⁵ meters. The approximate volume is 2.166 x 10⁻⁴³ cubic meters. The density cannot be determined without the mass of the nucleus.

The radius, volume, and density of the Cu nucleus can be approximated using the given information.

a) To find the approximate radius of the Cu nucleus, we need to consider the atomic number of Cu, which is 29. The atomic number represents the number of protons in the nucleus. In a neutral atom, the number of protons is equal to the number of electrons.

The radius of a nucleus can be estimated using the formula:
radius = r0 x A^(1/3),

where r0 is a constant (approximately 1.2 x 10⁻¹⁵ meters) and A is the atomic mass number. In this case, A is equal to the atomic number, which is 29 for Cu.

Therefore, the approximate radius of the Cu nucleus is:
radius = 1.2 x 10⁻¹⁵ x 29^(1/3) = 1.2 x 10⁻¹⁵ x 3.087 = 3.704 x 10⁻¹⁵meters.

b) The volume of a nucleus can be calculated using the formula for the volume of a sphere:
volume = (4/3) x π x radius³.

Substituting the approximate radius value we found earlier, we get:
volume = (4/3) x π x (3.704 x 10⁻¹⁵)³ ≈ 2.166 x 10⁻⁴³ cubic meters.

c) To find the density of the Cu nucleus, we need to know its mass. However, the question does not provide information about the mass of the nucleus. Therefore, we cannot determine the density without this information.

In conclusion, for the given Cu nucleus:
(a) The approximate radius is  3.704 x 10⁻¹⁵  meters.
(b) The approximate volume is 2.166 x 10⁻⁴³ cubic meters.
(c) The density cannot be determined without the mass of the nucleus.

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Answer:

TEJ as this is a thing you wont get

v=λf

f=v/λ

f=5 m/s : 40 m

f=0.125/s = 7.5/min