For the given Bayesian Game, Determine the average payoff for a hardworking (H) teacher for both type of students with strategy study (S), i.e. Teacher's payoff for strategy (H.(S,S)). Player-1: Teacher, Player-2: Student Student may be of two categories: INTERESTED (I) or NOT INTERESTED (NI) with probability 1/2 Action of Teacher: Hard work (H)/Lazy (L) Action of Student: Study (S)/ Not Study (NS) Game Table: P(I)=1/2
Teacher/Student | S | NS
H 10,10 0,0
L 5,5 5,0 P(NI)=1/2 Teacher/Student | S | NS
H 5,5 0,5 L 10,5 5,10
Answers
The average payoff for a hardworking (H) teacher for both types of students with strategy study (S) is (5+2.5+2.5+2.5)/4 = 3.125. The teacher's payoff for strategy (H.(S,S)) is 5.
Bayesian Game is a game in which a player has incomplete information about the opponent's payoffs or actions. This game is based on incomplete information. The given Bayesian game can be represented in the form of a matrix. The player-1 in this game is the teacher and the player-2 is the student.
The student can either be interested (I) or not interested (NI) with probability 1/2. The teacher can choose between two actions, hard work (H) or lazy (L), while the student can choose between studying (S) or not studying (NS).
The expected payoff for the teacher with H.S.NS is 5*1/2 + 0*1/2 = 2.5. The expected payoff for the teacher with L.S.NS is 5*1/2 + 0*1/2 = 2.5.The probability of the student not studying is also 1/2.
The expected payoff for the teacher with H.NS.NS is 0*1/2 + 0*1/2 = 0. The expected payoff for the teacher with L.NS.NS is 5*1/2 + 0*1/2 = 2.5 .
Hence, the average payoff for a hardworking (H) teacher for both types of students with strategy study (S) is (5+2.5+2.5+2.5)/4 = 3.125. The teacher's payoff for strategy (H.(S,S)) is 5.
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Related Questions
Please
Please please help me
I don’t understand.
Answers
Answer:
The team is measuring at 364 ft below the surface
Step-by-step explanation:
Here, we want to get the depth at which the pressure was measured at
to get this, we will have to use the equation that relates the pressure to the depth
From the question, we have this as;
P = 13 + 8/13(d)
From the question, P is 237
Substituting this into the equation, we have
237 = 13 + 8/13(d)
237-13 = 8/13(d)
224 = 8/13(d)
8d = 13 * 224
d = (13 * 224)/8
d = 364 ft
Rationalize the denominator of 2/√3−1 Please give step by step answer
Answers
Explanation:
I attach a photo please check it:
Answer:
√3 + 1
Step-by-step explanation:
Step below are self-explanatory
2/(√3−1)= 2×(√3 + 1)/(√3 - 1)×(√3 + 1) = multiplied both sides by √3 + 12×(√3 + 1)/(√3² - 1²)= used (a+b)(a-b)= a² - b² formula2×(√3 + 1)/(3 - 1)=2×(√3 + 1)/2= cancelled like terms√3 + 1Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke's sister will repay?
Answers
Answer:
$3,570
Step-by-step explanation:
Simple interest = principal × rate × time / 100
Principal = $3,500
Rate = 2%
Time = 1 year
Simple interest = principal × rate × time / 100
= (3500 × 2 × 1) / 100
= 7000 / 100
= 70
Simple interest = $70
Total amount that Luke's sister will repay = principal + simple interest
= $3,500 + $70
= $3,570
Total amount that Luke's sister will repay = $3,570
PLEASE PLEASE HELP, I'll give brainliest
easy
Answers
pls give ans for the following image
Answers
Answer:
7 \(\frac{1}{8}\)
Step-by-step explanation:
The reciprocal of a number n is \(\frac{1}{n}\)
The reciprocal of 8 is \(\frac{1}{8}\)
The reciprocal of \(\frac{1}{7}\) is \(\frac{1}{\frac{1}{7} }\) = 7
sum = 7 + \(\frac{1}{8}\) = 7 \(\frac{1}{8}\)
Click through and select the graph that correctly shows the following points:
X(-2, 0), Y(3, -5), and Z(0, 3).
Answers
Answer:
The second graph
Step-by-step explanation:
each of the points you listed are graphed on there.
Answer:
the answer is graph number 2
it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !
Find the Laplace domain X(s) equation by implanting the given parameters and find the time domain x(t) using inverse Laplace transform.
Answers
The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).
Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).
To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.
Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.
Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.
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Giving brainliest!!!!
Answers
Answer:
x = 21 degrees or A
Step-by-step explanation:
7x - 3 + 2x - 6 = 180
9x - 9 = 180
9x = 189
x = 21
Pls pls help!!! What is the y-intercept of this quadratic?
Answers
Answer:
(0, 8)
Step-by-step explanation:
The y-intercept is where the line/point crosses the y-axis, the line can cross more than once.
upper lake has a volume of 50km3 and lower lake a volume of 100km3 . a river flows into upper lake, then connects the two lakes, and then flows out of lower lake. the river has a flow rate of 3km3 per day. suppose 2m3 of a pollutant was spilled into upper lake. the beach resort, located on the shore of lower lake, has hired you as a consultant. they want to know whether they need to close the beach. according to health guidelines, if the concentration of this particular chemical exceeds 0.008 ppb (parts per billion), then the beach must be closed for swimming and any other recreational activity. do you think the resort will need to close the beach? if so, for how long will be beach need to be closed?
Answers
If we model the situation with a discrete dynamical system, with time interval
one day, we obtain the following:
\(\[x_{n+1} =\[x_{n}- \frac{3}{50}\[x_{n}\) ---------(1)
\(\[y_{n+1} =\[y_{n}+\frac{3}{50}\[x_n}-\frac{3}{100} \[y_{n}\)
The amount of pollutant in Upper Lake tomorrow, \(\[x_{n+1}\), is equal to the
amount of pollutant in Upper Lake today,\(\[x_{n}\), minus the amount of pollutant which has flown into Lower Lake, via the river. The concentration of pollutant in Upper Lake today is \(\frac{\[x_{n}m^3}{50km^3}\) The amount of water carried by the river to Lower Lake during the day is \(3km^3\) This water contains
\(3km^3\frac{\[x_{n}m^3}{50km^3}\) \(=\frac{3}{50} {\[x_{n}m^3}\)
of the pollutant. So the decrease of pollutant in Upper Lake is equal to \(=\frac{3}{50} {\[x_{n}}\) (measured in m3 , which are the correct units for the components of the state vector). This justifies Formula (1).
The change in the pollutant in Lower Lake consists of the inflow from
Upper Lake, which is \(\frac{3}{50}\) , minus the outflow, which is \({3}\frac{{\[y_{n}}}{100}\) , because the concentration of the pollutant in Lower Lake is \(\frac{{\[y_{n}}}{100}\).
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If the sides to a triangle are 20, 40, and 80 cem, is it Right triangle?
Answers
Answer: no
because using Pytago theorem, we have:
20² + 40² ≠ 80²
80² + 20² ≠ 40²
80² + 40 ² ≠ 20²
Step-by-step explanation:
Answer:
No, it does not follow the Pythagorean Theorem.
Step-by-step explanation:
A right triangle must follow the equation a^2 + b^2 = c^2 for its sides to be true. 20^2 + 40^2 = 2000.
the square root of 2000 equals about 44.7213595.
Thus, a triangle with sides 20, 40, and 80 is not a right triangle.
write the expression in repeated multiplication form then write the expression as a power
Answers
(-8)^7
Triangles J K L and P Q R are connected at points K and Q. The lengths of sides J K and Q P are congruent and the lengths of sides K L and K R are congruent. Angles L K J and R Q P are congruent.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answers
Answer:
acd
Step-by-step explanation:
edg 2021
A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.
What is Congruency
Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.
Rule of Congruency:
1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.
2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.
3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.
4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.
Since JK= QP
KL= KR
Angle LKJ= Angle QRP
So Δ LKJ ≅ Δ QRP.
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Excision of benign lesions on chest, 0.4 cm, with simple closure.(CPT CODE??)
Answers
Excision of
benign lesions
on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.
The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a
surgical
procedure performed to remove a benign lesion, which is a tumor that is not
cancerous
.
The
excision
of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the
lesion
from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.
The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue
rearrangement
or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.
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If f (x) = 3x - e evaluate each expression below
Answers
F(x) = 3
Just plug in f(2) into x.
Do the same for f(-5)
Assume that in a given year the mean mathematics sat score was 572, and the standard deviation was 127. a sample of 72 scores is chosen. What is the probability that the sample mean score is less than 567?
Answers
According to the Central Limit Theorem, for a sufficiently large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.
To calculate the probability, we need to convert the sample mean score to a z-score and then find the corresponding area under the standard normal distribution curve.
Calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 127 / sqrt(72)
SE ≈ 14.96
Calculate the z-score:
z = (X - μ) / SE
z = (567 - 572) / 14.96
z ≈ -0.334
Find the probability corresponding to the z-score:
We can find the area to the left of the z-score -0.334. Let's denote this probability as P(z < -0.334).
The probability that the sample mean score is less than 567 is approximately equal to P(z < -0.334).
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The perimeter of rectangle is 40 inches the length is 2 inches more than three times the width write and solve a system of an equation to find the length and the width of a rectangle. help pls!!
Answers
Answer:
Thisis your answer ☺️☺️☺️
1 +5x2 + (1 + 3) to the second power
Answers
Answer:
27
Step-by-step explanation:
1 + (5)(2) + (1 + 3)^2
1 + 10 + (1 + 3)^2
11 + (1+3)^2
11+4^2
11+16
27
Hope this helps! Have an amazing day!amit took part in am cycle
amit took a part in cycle race .he started at 1:25 and he reached finishing lline at 1:50 pm what was the duration of the race .
Answers
The duration of the race is 25 min which is completed by Amit,
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
These basic mathematical operations (+, -, ×, and ÷) we use in our everyday life. Whether we need to calculate the annual budget or distribute something equally to a number of people, for every such aspect of our life, we use arithmetic operations.
Amit Start the cycle race at 1:25,
He completed the race at 1:50,
So, the duration of the race is =1:50-1;25=25 min
Hence, The duration of the race is 25 min which is completed by Amit,
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True or False: A multiple regression is called "multiple" because it has several dependent variables.
Answers
Answer:
FALSE is the answer for your question
Use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) Point / (6,6) Slope / m=0
Answers
Given the point (6,6) on the line and a slope of m = 0, three additional points that the line passes through can be determined. One possible set of points is (6,6), (5,6), (7,6), and (6,0).
When the slope (m) of a line is zero, it indicates that the line is a horizontal line. In this case, the line is parallel to the x-axis and does not have any vertical change. Therefore, the y-coordinate of any point on the line will remain constant.
Given the point (6,6) on the line, we can see that the y-coordinate is 6. Since the slope is zero, the y-coordinate will remain the same for any x-coordinate. Hence, three additional points on the line can be determined by varying the x-coordinate while keeping the y-coordinate constant at 6.
One possible set of points is (6,6), (5,6), (7,6), and (6,0). In this case, we keep the y-coordinate constant at 6 and choose different x-coordinates to form the points. These points lie on the horizontal line passing through (6,6) and have the same y-coordinate.
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Give the domain and range of the given relation, then determine if the relation is a function.
{(−3,−2), (5,1), (0,−4), (−1,−2), (−2,3), (1,−6)}
Domain:
Range:
Answers
Answer:
Domain: {-3, 5, 0, -1, -2, 1}
Range: {-6, -4, -2, 1, 3}
The relation is a function.
Step-by-step explanation:
The domain of this relation is the set of all x-values from the ordered pairs, which are:
Domain: {-3, 5, 0, -1, -2, 1}
The range of the relation is the set of all y-values from the ordered pairs, which are:
Range: {-6, -4, -2, 1, 3}
To determine if the relation is a function, we need to check if there are any repeated x-values with different y-values. If there are no such cases, then the relation is a function.
Looking at the domain and range, we can see that each x-value has only one corresponding y-value, so there are no repeated x-values with different y-values. Therefore, the relation is a function...
Range:{-2, 1, -4, 3, -6}
It’s a function
In Frank's toy bin there are 17 red blocks. There are 2 more yellow blocks than red blocks. There are also 12 more blue blocks than red blocks. How many blocks are there in all?
Answers
Answer:
65
Step-by-step explanation:
17 red
19 yellow
29 blue
add them together, = 65
The conjecture "if n is a whole number then 3n+1 is a prime number" is disapproved by which statement
Answers
Answer:
D
Step-by-step explanation:
Simply because 25 is divisible by 5.
a music store buys instruments and then sells them for more than they paid. during a off sale, the store offers a clarinet for . how much did the store pay for the clarinet?
Answers
The current price of the clarinet and the various discounts and markups illustrate that the amount the store paid was $90.
How to calculate the price?First find out the selling price of the clarinet:
= Discounted price / ( 1 - discount rate)
= 93.60 / ( 1 - 20%)
= $117
This selling price is 30% more than what the store paid so the price the store paid was:
= Selling price / ( 1 + rate of increase)
= 117 / ( 1 + 30%)
= $90
In conclusion, the amount the store paid was $90.
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Complete question
A music store buys instruments and then sells them for 30% more than they paid. During a 20% off sale, the store offers a clarinet for $93.60.
How much did the store pay for the clarinet?
1. Solve the equations: (c) 6x^4 - 5x^2 + 1 = 0; d) x^4 - 4x^2 - 5 = 0;
Answers
To solve these equations let us consider x^2 = y Then x^4 = y^2.
Now,
(c). 6y^2 - 5y + 1 = 0
\(\begin{gathered} 6y^2-5y+1=0 \\ By\text{ using middle term splitting we have} \\ 6y^2-3y-2y+1=0 \\ 3y(2y-1)-1(2y-1)=0 \\ (3y-1)(2y-1)=0 \\ y=\frac{1}{3}\text{ and y = }\frac{1}{2} \end{gathered}\)Now, the solution will be
\(\begin{gathered} x^2=y \\ x^2=\frac{1}{3}\text{ and x}^2=\frac{1}{2} \\ x=\pm\frac{1}{\sqrt{3}}\text{ and x = }\pm\frac{1}{\sqrt{2}} \end{gathered}\)Hence this is the required solution.
(d). y^2 - 4y - 5 = 0
\(\begin{gathered} y^2-4y-5=0 \\ by\text{ using middle term splitting} \\ y^2-5y+y-5=0 \\ y(y-5)+1(y-5)=0 \\ (y-5)(y+1)=0 \\ y=5\text{ and y = -1} \end{gathered}\)Now the solution will be
\(\begin{gathered} x^2=y \\ x^2=5\text{ and x}^2=-1 \\ x=\pm\sqrt{5}\text{ and x=}\pm\sqrt{-1}=\pm1i \end{gathered}\)Hence this is the required solution.
Please Help will mark Brainliest!!!
Answers
Answer: Neither
3, 5, 9,17
+ 2 +2
They are not the same #'s. For example, if you add 5 and 2 together you get 7. 9 does not equal 7. Not arithmetic, or geometric sequence.
pls help 25 points
7x + 39 ≥ 53 AND 16x + 15 > 31
CHOOSE ONE ANSWER
x > 1
x ≥ 2
x ≤ 2
There are no solutions
All values of x are solutions
Answers
first, we’ll focus on the first inequality. to isolate the variable, x, we have to subtract 39 from each side
7x + 39 > 53
7x > 14
now divide by 7
x > 2 (x is greater than or equal to 2)
for the second inequality, isolate the variable by subtracting 15 from each side and then dividing by 16
16x + 15 > 31
16x > 16
x > 1
so the answer put together would be x > 1 & x > 2
because x>2 falls under the category of x > 1 (2 is greater than 1 and can be a valid answer for this), the answer is x > 1 because it applies to both inequalities’ values
Factor the expression completely over the complex numbers. Y^4+14y^2+49
the answer is ((y+i√7)(y-i√7))^2
Am I right
Answers
Factors over the complex numbers for the given expression y⁴ + 14y² + 49 is equal to [ ( y + i√7) (y - i√7 ) ]² .
As given in the question,
Given expression is :
y⁴ + 14y² + 49
Simplify the given expression to get the factors of it , we get ,
y⁴ + 14y² + 49
= y⁴ + 2 ( 7 )y² + ( 7 )²
= ( y² + 7 )²
Now convert the factors into complex numbers ,
= [ y² - (-1)(√7)²]²
We know that ( -1 ) = i²
= [ y² - ( i√7)² ]²
= [ ( y - i√7 )( y + i√7) ]²
Therefore, the complex numbers factors of the given expression is equal to [ ( y - i√7 )( y + i√7) ]².
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The flight of a cannonball toward a hill is described by the parabola y=2+0.12x- 0.0004x^2
Answers
The computation shows that the placw on the hill where the cannonball land is 3.75m.
How to illustrate the information?To find where on the hill the cannonball lands
So 0.15x = 2 + 0.12x - 0.002x²
Taking the LHS expression to the right and rearranging we have:
-0.002x² + 0.12x -.0.15x + 2 = 0.
So we have -0.002x²- 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x² + 0.03x -2 = 0.
This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.
The second solution y = 0.15 * 25 = 3.75
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Complete question:
The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?