Find the Mixed Strategy Nash of the game.
Attack -Attack Attack π- C-1, 2-c -1, 3-c -Attack π-C, -1 0, 0
Answers
The mixed strategy Nash equilibrium is (0, 1/2).
The given game is represented by the following matrix:
Attack -Attack Attack π- C-1, 2-c -1, 3-c -Attack π-C, -1 0, 0
For a mixed strategy,
let's assume that the row player chooses Attack with probability p and π with probability (1-p). And, let's assume that the column player chooses Attack with probability q and C with probability (1-q).
Expected Payoff for the Row Player:1p + (-1)(1-p)Expected Payoff for the Column Player:
2q + 0(1-q) = 2q
The Nash equilibrium will be obtained when the expected payoff of the row player is equal to the expected payoff of the column player.
1p + (-1)(1-p) = 2q => p = 2q - 1
The probabilities of the mixed strategy Nash Equilibrium (p, q) can be obtained by solving the above equations.2q - 1 = 0 => q = 1/2p = 2(1/2) - 1 = 0
The mixed strategy Nash equilibrium is (0, 1/2).
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Related Questions
Question 13 (1 point)
A 24 kg crate is pulled along a horizontal surface by a force of 95 N. The force is applied at an angle of 33° with the horizontal. The
coefficient of kinetic friction is 0.21. What is the acceleration of the crate?
Round to 2 decimal places. Units go in the second blank.
Blank 1:
Blank 2:
Answers
Answer:
papa's donuteria
Explanation:
:rawr:
An airplane needs to reach a forward velocity of 203 km/h to take off. On a 2000m runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?
Answers
Answer:
Minimum uniform acceleration in Km/hr² is 20,505.05 km/hr²
Explanation:
In other to determine the acceleration, we can use the formula below
acceleration = velocity/time
Time wasn't given in the question, hence we calculate for time using the parameters given and the formula below
Velocity= distance/time
time = distance/velocity
distance = 2000m ⇔ 2km
time = 2/203
time = 0.0099
Hence, we look for acceleration
which is
acceleration = 203/0.0099
= 20,505.05 km/hr² ⇔ 2.0 × 10⁴
Radio waves of frequency 1.667 GHzGHz arrive at two telescopes that are connected by a computer to perform interferometry. One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.
Required:
a. Will the two waves combine constructively or destructively?
b. Calculate the value of m for the path difference between the two signals
Answers
Explanation:
The frequency of radio waves is 1.667 GHz
One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.
There are two conditions for interference either constructive or destructive.
For constructive interference , the path difference is n times of wavelength and for destructive interference, the path difference is (n+1/2) times of wavelength
We can find wavelength in this case as follows :
\(\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{1.667\times 10^9}\\\\\lambda=0.1799\ m\)
If we divide path difference by wavelength,
\(\dfrac{\delta}{\lambda} =\dfrac{1.26}{0.1799}\\\\\dfrac{\delta}{\lambda} =7\\\\\delta =7\lambda\)
It means that the path difference is 7 times of the wavelength. it means the two waves combine constructively and the value of m for the path difference between the two signals is 7.
What is the critical angle of an optical fiber when cladding is added of n = 1.49?
Answers
The critical angle for this optical fiber with a cladding of refractive index 1.49 is approximately 61.9 degrees.
n1 sinθ1 = n2 sinθ2
where n1 is the refractive index of the core, θ1 is the angle of incidence, n2 is the refractive index of the cladding, and θ2 is the angle of refraction.
n1 sinθ1 = n2
sinθ1 = n2/n1
θ1 = sin^-1(n2/n1)
Assuming the refractive index of the core is n = 1.5, and the refractive index of the cladding is n = 1.49, we get:
θ1 = sin^-1(1.49/1.5) = 61.9 degrees
The critical angle is the angle of incidence at which a light ray, passing through a boundary between two media, is refracted at an angle of 90 degrees to the normal. At this angle, the refracted ray travels along the boundary between the two media, rather than entering the second medium.
The critical angle depends on the indices of refraction of the two media, which determine how much the light is bent as it passes through the boundary. If the angle of incidence is greater than the critical angle, the light undergoes total internal reflection, meaning that it is reflected back into the first medium rather than refracted into the second medium.
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Cart 1 of mass 3.0 kg moving to the right at 2 m/s and collides with a Cart 2 of mass 2.0 kg moving to the left at
4 m/s. The two carts stick together. What is the velocity of the carts after the collision?
Answers
Answer:
V = -0.4 m/s
Explanation:
Given that,
Mass of cart 1, m₁ = 3 kg
Speed of cart 1, v₁ = 2 m/s
Mass of cart 2, m₂ = 2 kg
Speed of cart 2, v₂ = -4 m/s (left)
aWe need to find the velocity of the carts after the collision if they stick together. Let the common speed be V. Using the law of conservation of momentum to find it such that,
\(m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{(m_1+m_2)}\)
Put all the values,
\(V=\dfrac{3\times 2+2\times (-4)}{(3+2)}\\\\=-0.4\ m/s\)
So, the velocity of the carts after the collision is equal to 0.4 m/s to the left.
PLEASE HELP !!
In order to describe the velocity of an object, which three pieces of data are needed?
Answers
Which of the following exercises would be BEST for improving muscular strength and endurance?
A.
walking
B.
running
C.
push-ups
D.
bicycling
Answers
Answer:
Push-ups
explanation:
Answer:
the anser for your qestion is
c. push- ups
c) What is the initial velocity?
d) What is the final velocity at t=6
e) What is the average acceleration? (Use the graph)
Answers
(a) The initial velocity is 0 m/s.
(b) The final velocity at t=6s, is 10 m/s.
(c) The average acceleration is 1.67 m/s².
What is instantaneous velocity?Instantaneous velocity is a measure of how fast an object is moving at a particular moment in time. It is the velocity of an object at a specific instant or point in time, and it is typically represented as a vector with both magnitude and direction.
The initial velocity = 0 m/s
The velocity of the particle at time, t = 6 seconds = displacement/time
velocity = 60 m/ 6s = 10 m/s
The average acceleration = (v₂ - v₁) / (t₂ - t₁)
average acceleration = (10 m/s - 0 m/s )/ (6 s - 0 s) = 10/6 = 1.67 m/s²
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if the velocity of the ball in the pitcher’s hand is 36 m/s and the ball is 0.29 m from the elbow joint, what is the angular velocity (in rad/s) of the forearm?
Answers
The angular velocity of the forearm during the pitch is approximately 124.14 rad/s.
In order to determine the angular velocity of the forearm during the pitch, we need to understand the relationship between velocity and angular velocity. Velocity is a measure of how fast an object is moving in a particular direction, while angular velocity is a measure of how quickly an object is rotating around a fixed point. These two types of velocity are related by the distance between the rotating object and the fixed point.
In this case, the distance between the ball and the elbow joint is 0.29 meters. Given that the velocity of the ball in the pitcher's hand is 36 m/s, we can use this information to calculate the angular velocity of the forearm.
The formula for calculating angular velocity is:
Angular velocity = \frac{Velocity }{ Distance}
Using this formula, we can plug in the given values to find the angular velocity:
Angular velocity = \frac{36 m/s }{ 0.29 m}
Angular velocity = 124.14 rad/s
Therefore, the angular velocity of the forearm during the pitch is approximately 124.14 rad/s.
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An electron, starting from rest, accelerates through a potential difference of 25.0 V. What is the final de Broglie wavelength of the electron, assuming that its final speed is not relativistic
Answers
Answer: λ = 0.245 nm
Explanation:
KE = qV
V = 25.0 V
where q = e = 1.6*10^-19
KE = (1.6*10^-19)(25.0 V)
KE= 4.0 * 10^-18 J
λ = \(\frac{h}{\sqrt{2mKE} }\)
mass of electron = 9.11 * 10^-34
λ = \(\frac{6.626*10^{-34} }{\sqrt{(2)(9.11*10^{-31})(4.0*10^{-18}) } }\)
λ = 2.45 e -10 m
λ = 0.245 nm
a piano tuner is tuning a piano when he discovers that the G above middle C is vibrating with a higher frequency than his G tuning fork, which vibrates at 392.0 Hz. He plays the piano key and tuning fork at the same time and hears a beat frequency of 2.0 Hz.
a. What is the frequency of the G on Ms. Carlton's piano?
b. If it had been a lower frequency, creating a beat frequency of 4.0 Hz, what would it have been?
Answers
Answer:
Tuning a piano is the process of adjusting the tension of its strings, thereby altering their pitch, or frequency of vibration, by slightly turning the tuning pins to which they're attached, so that each string sounds pleasingly in harmony with every other string.
Hopefully u will satisfy with my answer of ur question..!!Have a nice day ahead dear..!!If 2 people are on a bed and they are the same weight, and 1 of them gets off and the bed breaks who is responsible? Is it the person still on the bed or the person who got off?
Answers
Answer:
I would say the one who got up bc if he or she wouldn't have gotten up the bed wouldn't have broke
much like a battery these generate electricity from chemical events
Answers
The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.
When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.
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PLS HELP I NEED TO TURN THIS IN SOON
Answers
Do you think, are we need to learn Measurement in Physics. Explain how the measurement is necessary and inevitable in real life situations?
Answers
Answer:
Measurement is inevitable because in every single thing we do we measure.for instance, if you are a family of four,the food prepared will be less than the food prepared for a family of about 15 people.this is measurement.if not so,the food prepared will go waste.again, the drugs prescribed by the doctor is measured to avoid over dose or under dose of medication.this can be harmful to ones health
Please write in complete sentences.
How does density affect refraction?
Diamonds are a very dense material. Predict what would happen to the light ray if you projected it from the air through a diamond.
Answers
Answer:
The density of a material affects the speed that a wave will be transmitted through it. In general, the denser the transparent material, the more slowly light travels through it.
A student is on a sail boat in the ocean the boat is moving up and down but not moving horizontally she counts that the bait rises and falls 42 times in 60 s
Answers
Overlooking a lake is a sailboat. The weight of the boat, the buoyant force (the force created when the boat makes contact with the water and is propelled upward), the wind's forward force, and the water's backward drag are the four forces at work.
What is meant by sailboat?Smaller than a sailing ship, a sailboat or sailing boat is a vessel powered fully or partially by sails. By area and nautical culture, there are differences in what is considered a sailing boat and a ship. International commerce routes were established using sailboats, albeit less reliant power sources have since supplanted this kind of propulsion. Nowadays, recreational sailing is almost the exclusive usage of sailboats. There are numerous options available for both the popular pleasures of cruising and racing. A sailboat is a little boat that travels at the speed of the wind. Sailboats can travel at high speeds when the wind is strong enough. Ahoy! Sailboats, often known as sailing boats in Britain, can have one to five sails.To learn more about sailboat, refer to:
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Explain perfectly elastic collision
Answers
A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.
Give an example of an absolutely elastic collision?In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.
What is an absolutely inelastic collision?photo of A description of completely elastic collision
When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.
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A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.
Give an example of an absolutely elastic collision?In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.
What is an absolutely inelastic collision?photo of A description of completely elastic collision
When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.
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A 4812 kg boulder sits on top of a 203 m cliff. What is its PE?
Answers
Answer:
9572992.8 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 4812 × 9.8 × 203
We have the final answer as
9572992.8 JHope this helps you
Which of the following motions has a straight line?
A. Steady motion of the plane in the sky
B. Movement of people sitting in cars from Hanoi to ThaiNguyen
C. Movement of the clock hands
D. Movement of the cabin on the sun's rotation
Answers
A cannonball is shot from a cannon at a very high speed. The force of the explosion will be experienced by the cannonball for several seconds (or a least a little while). Identify your answer, then explain your answer selection.True or false
Answers
Before the cannon ball is in the air this force is basically:
\(\begin{gathered} F_1=ma \\ a=0 \\ F_1=0 \end{gathered}\)And the force of the explosion is:
\(\begin{gathered} F_2=xN \\ Where: \\ x_{\text{ }}is_{\text{ }}an_{\text{ }}arbitrary_{\text{ }}amount \end{gathered}\)After this force is applied to the cannonball after being shooted;
\(\begin{gathered} F1=ma \\ a=-9.8\cdot\frac{m}{s^2} \end{gathered}\)So, the force of the cannonball only depends on the acceleration of gravity.
Therefre, tehe statement is False
A car traveling 35 km/hr accelerates to a speed of 45 km/hr in .25 hr. What is its acceleration
Answers
Answer:
a=40Km/hr^2
Explanation:
does the force change if the density change in a object
Answers
Answer:
No
Explanation:
It doesn't depend on the density
Answer:No. If you take all your masses and and squeeze them into a tiny volume,
A car battery produces 12 from electric that each produce 2.0 V. What is the minimum number of electric cells in car battery?
Answers
Answer:
6
Explanation:
From the given question, since a total of 12 V was obtained from the battery which is made up of a number of cells with each producing 2.0 V.
Assuming that the cells have a very low internal resistance, then;
minimum number of electric cells in the car battery = \(\frac{total voltage from the cells}{individual voltage of the cells}\)
= \(\frac{12}{2}\)
= 6
Thus, the minimum number of electric cells in the car battery is 6.
This implies that the addition of 6 cells which has 2.0 V supply in the battery produces a total of 12 V. Provided that the cells have a very low internal resistance.
A 75 kg diver has 5,150.25 J of gravitational potential energy. Determine the diver’s height
Answers
Answer:3.4m
Explanation:
What physical property of the lens does the y-intercept represent? 1 5. Write a short, general statement about the image that is produced when the object is placed between the focal point and the lens. Your statement must contain threecharacteristics (i.e., type, orientation, size, etc.) about the image to receive full credit.
Answers
The y-intercept of the lens represents the focal length of the lens.
The y-intercept of a lens refers to the point where the incident rays, parallel to the principal axis, converge or appear to diverge after passing through the lens. In other words, it represents the distance from the lens to the focal point.
When an object is placed between the focal point and the lens, a specific type of image is produced. This situation is known as an object placed in front of a converging lens. The characteristics of the image formed in this case are as follows:
1. Type: The image is virtual, meaning it cannot be projected onto a screen. It can only be seen when looking through the lens.
2. Orientation: The image is upright. It appears in the same orientation as the object.
3. Size: The image is magnified compared to the object. It is larger in size.
These three characteristics hold true when the object is positioned between the focal point and the lens. It is important to note that the specific values of the image's size and magnification would depend on the specific distance of the object from the lens and the focal length of the lens.
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help me pls its for my science class i need to show my work
Answers
Answer:
P = 5880 J
Explanation:
Given that,
The mass of the block, m = 30 kg
The block is sitting at a height of 20 m.
The block will have gravitational potential energy. The formula for gravitational potential energy is given by :
\(P=mgh\\\\=30\times 9.8\times 20\\\\=5880\ J\)
So, the required potential energy is equal to 5880 J.
An aluminum container has a mass of 64.8 g and a volume of 24 mL.What is the density!!!
Answers
Answer:
the density is 2.7
Explanation:
p=m/v
p=density
m=mass
v=volume
p=m/v
inside an elevator you are standing on a scale. you have a mass of 50 kg. the scale reads 500 n. what could be happening? (use g
Answers
Standing on a scale inside an elevator and the scale reads 500 N. The mass of 50 kg. The force experienced by an object due to gravity is given by the equation F = mg, where F is the force, m is the mass, and g is the acceleration due to gravity.
In this case, the scale is reading 500 N, which is greater than your actual weight of 50 kg * 9.8 m/s^2 (standard acceleration due to gravity). This suggests that there may be an additional force acting on you, causing the scale to read higher than expected.
There are two possible scenarios to consider:
1. Accelerating elevator: If the elevator is accelerating upwards, the scale reading will be greater than your actual weight. This is because in addition to the force of gravity pulling you downwards, there is an additional force pushing you upwards due to the acceleration of the elevator.
2. Decelerating elevator: If the elevator is decelerating downwards, the scale reading will also be greater than your actual weight. This is because in addition to the force of gravity pulling you downwards, there is an additional force pushing you downwards due to the deceleration of the elevator.
In both cases, the scale reading will be higher than your actual weight due to the additional forces acting on you.
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what makes astronomers think that cygnus x-1 contains a black hole? (a) we can directly observe that one member of the system emits no light. (b) the unseen object orbited by a luminous star is too massive to be a neutron star. (c) the strong x-ray emission from the system means it must contain a black hole.
Answers
Astronomers think that cygnus x-1 contains a black hole because the unseen object orbited by a luminous star is too massive to be a neutron star and is therefore denoted as option B.
Who is an Astronomer?This is referred to as a type of scientists who studies the Universe and the objects within and around it.
Cygnus x-1 is referred to as a galactic X-ray source in the constellation Cygnus and was widely accepted to be a black hole as a result of the unseen object orbited by a luminous star is too massive to be a neutron star.
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