Assume two firms, each with two strategies. Make your own Prisoners' Dilemma game by forming 2x2 bimatrix game. Write appropriate payoffs and identify the non-cooperate equilibrium. Explain how equilibrium is reached. What is the dilemma in this game? What are the implications of this game for the firms? Give examples of Prisoners' Dilemma game in real life?

x +|x|

= 7 + |7|

= 7 + 7

= 14

because determine of | 7 | is 7

Answer:

Probability (Roulette ball not landing on red) = 10 / 19

Step-by-step explanation:

Given:

Number of total slots = 38

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

Probability (Roulette ball not landing on red) = 20 / 38

Probability (Roulette ball not landing on red) = 10 / 19

\(\cfrac{3}{7}\div \cfrac{3}{4}\implies \cfrac{3}{7}\cdot \cfrac{4}{3}\implies \cfrac{3}{3}\cdot \cfrac{4}{7}\implies 1\cdot \cfrac{4}{7}\implies \boxed{\cfrac{4}{7}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{mixed}{3\frac{3}{5}}\implies \cfrac{3\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{18}{5}} \\\\\\ 3\frac{3}{5}\div 9\implies \cfrac{18}{5}\div \cfrac{9}{1}\implies \cfrac{18}{5}\cdot \cfrac{1}{9}\implies \cfrac{1}{5}\cdot \cfrac{18}{9}\implies \cfrac{1}{5}\cdot 2\implies \boxed{\cfrac{2}{5}}\)

Answer: sphere

Step-by-step explanation:

For cone,

Radius = 9 in.

height = 12 in.

Volume = \(\dfrac{1}{3}\pi r^2h\)

Then, Volume = \(\dfrac{1}{3}(3.14)(9)^2(12)=1017.36\ \text{cubic inches}\)

For cylinder,

Radius = 9 in.

height = 12 in.

Volume = \(\pi r^2h\)

Then, volume = \((3.14)(9)^2(12)=3052.08\text{ cubic inches}\)

For sphere,

Radius = 9 in.

Volume = \(\dfrac{4}{3}\pi r^3\)

Then, volume = \(\dfrac{4}{3}(3.14)(9)^3=3052.08\text{ cubic inches}\)

For best buy, we require highest volume but lowest cost.

Thus, Volume of cone < Volume of cylinder and volume of sphere.

Volume of cylinder = volume of sphere.

But the cost of the sphere < cost of cylinder as $28<$30.

So, the sphere would be the best buy as it has the greatest volume but low cost.

Answer:

42 Pots

Step-by-step explanation:

Because 256 divided by 6 is 42

Hope this helped

:)

ANSWER

My answer is in the photo above

EXPLANATION

For all the equations I have used the cross multiplication method although you can also use the LCM method

A heart-shaped mathematical curve is a cardioid (picture is attached below).

In the mathematical branch of geometry, we can use certain equations, etc. to create a heart-shaped mathematical curve which is called a cardioid. Its name has been derived from the greek word kardiá which literally translates to heart.

It can be described as a plane curve that is drawn by a point on the perimeter of a circle and this circle is rolling around a fixed circle that has a similar radius. It is also described as an epicycloid having a single cusp. The equation (a+x)^(a-x) can be used to make a cardioid.

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Answer: 1

Step-by-step explanation:

Answer:

y ⁷

Step-by-step explanation:

y⁵ * y² = y ⁽ ⁵ ⁺ ² ⁾   (adding exponents)

          = y ⁷

Solution:

Given;

The simple interest, I, is;

Thus, the amount to be repaid is;

The amount that must be repaid is $24,992

Answer:

if you divide 10 by 8 it should be 10/8 so a

Hope This Helps!!!

Answer: A

Step-by-step explanation: Step 3 is incorrect as it should be 10/8 (or 5/4 simplified.) When we have 8x = 10, we are looking at what number "x" multiplied by 8 gives 10. Meaning we need to have 8(?) = 10. So, to find out what x is, we just divide by 8 from both sides. Since 8x/8 cancels out and becomes just x, we get x = 10/8 since we are dividing 10 by 8. We get 5/4 simplified or 10/8 unsimplified.

Please mark my answer as brainliest if it was helpful!

Answer:

1) 2

2) 66

3) 66

Step-by-step explanation:

1) f(g(t))

= f(93)

= \(\sqrt{93-89}\)

= root of 4

= 2

2) 546-348 = 198

72 - 69 = 3

198/3

= 66

3) 2(x-33) = 66

2x - 66 = 66

2x = 132

x = 66

Feel free to mark this as brainliest! :D

Answer:

40%

Step-by-step explanation:

Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

Answer:

because the formula for a parabola is f(x)=ax^2+bx+c

Step-by-step explanation:

The y-intercept of the tangent line is b. -1

The y-intercept of a line is the value of y at which the line crosses the y axis

To determine the value of y-intercept of a line with the given slope -3 that is a tangent line to the curve y = -x² - 5x -5.

We proceed as follows

First we differentiate the equation of the curve.

So,  y = -x² - 5x -5.

dy/dx = d(-x² - 5x -5)/dx

=  d-x²/dx - d5x/dx - d5/dx

= -2x - 5 - 0

= -2x - 5

Since the derivative of the curve equals the value of the tangent at the point, we have that

dy/dx = -3

-3 = -2x - 5

-3 + 5 = -2x

2 = -2x

x = 2/-2

x = -1

So, substituting x = -1 into the equation for y to find the y intercept, we have that

y = -x² - 5x -5.

y = -(-1)² - 5(-1) -5

= -1 + 5 - 5

= -1 + 0

= -1

So, the y-intercept is b. -1

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A domain of the situation is given by:

The factory is operational for at most 12 hours a day.

Answer:

There is only one way to divide the 12 people into committees of sizes 3, 4, and 5, and the probability of this division occurring is 1.

To find the number of divisions possible and the probability, we need to consider the number of ways to divide 12 people into committees of sizes 3, 4, and 5.

First, we determine the number of ways to select the committee members:

For the committee of size 3, we can select 3 people from 12, which is represented by the combination "12 choose 3" or C(12, 3).

For the committee of size 4, we can select 4 people from the remaining 9 (after selecting the first committee), which is represented by C(9, 4).

Finally, for the committee of size 5, we can select 5 people from the remaining 5 (after selecting the first two committees), which is represented by C(5, 5).

To find the total number of divisions, we multiply these combinations together: Total divisions = C(12, 3) * C(9, 4) * C(5, 5)

To calculate the probability, we divide the total number of divisions by the total number of possible outcomes. Since each person can only be in one committee, the total number of possible outcomes is the total number of divisions.

Therefore, the probability is: Probability = Total divisions / Total divisions

Simplifying, we get: Probability = 1

This means that there is only one way to divide the 12 people into committees of sizes 3, 4, and 5, and the probability of this division occurring is 1.

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Answer:

B

Step-by-step explanation:

divide them by 2

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Provided the figures we have that describe the mass of Earth and the mass of Jupiter, we can conclude that Jupiter is 318 times greater than the mass of Earth.

From the figures we have, we can see that the mass of Jupiter is greater than the mass of Earth because it has more zeros.

So, we have to divide the value of the mass of Jupiter by the mass of the earth as follows:

1.9 x 10^27

5.97 X 10^24

=1. 9 ÷ 5.97 × 10^27 - 10^24

= 0.318... ×10³

= 318

Do note that when we have to divide figures that are raised to some figures, the rule will be to subtract the figures as we find in the fact that 27 - 24 is equal to 3. And when we multiply, we arrive at the stated figure.

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Answer:

x=14

Step-by-step explanation:

subtract 10 on both sides

24-10=14

x=14

Answer:

x = 14

Step-by-step explanation:

10 + x = 24

-10

x=14

( You subtract 10 from both sides. 24-10 =14. Therefore x =14

Answer:

y=-4x-33

Step-by-step explanation:

Since the equation is parallel it will have the same slope which is -4

Now just plug in the points into the equation y=-4x+n

Plug them in and you get -5=-4(-7)+n

Then solve which will get you n=-33

Therefore the equation is y=-4x-33

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

Based on the given information, we can assume that the table provides us with the number of hours that a group of students spent studying for the SAT during their first week of preparation. The mean study time for the second week is 10.8 hours, the median study time is 11 hours, there is no mode, and the range of study times is 13 hours.

Mean: To find the mean, we need to add up all the study times in the second week and divide by the number of students. Let's say the table shows that there were 10 students, and their study times in the first week were 2, 4, 5, 6, 7, 8, 9, 10, 12, and 15 hours. If each student added 4 hours in the second week, their new study times would be 6, 8, 9, 10, 11, 12, 13, 14, 16, and 19 hours. Adding up these new study times gives us a total of 108 hours. Dividing by the number of students (10) gives us a mean of 10.8 hours.

Median: To find the median, we need to put the new study times in order from lowest to highest and find the middle value. In this case, the new study times in order are: 6, 8, 9, 10, 11, 12, 13, 14, 16, 19. The middle value is 11, which is the median.

Mode: To find the mode, we need to look for the value that appears most frequently in the new study times. In this case, there is no mode as each value appears only once.

Range: To find the range, we need to subtract the lowest value from the highest value. In this case, the lowest value is 6, and the highest value is 19. Therefore, the range is 19 - 6 = 13.

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Answer:

Step-by-step

7 yellow, 5 green, 3 blue...total of 15

P(yellow party hat) = 7/15

do not replace

P(yellow hat) = 6/14

P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%

Hopefully this helps!

Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

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Answer:

3

Step-by-step explanation: there is 3 lolllllllllllllllllllllllllllllllllllllll

Answer: 6.25

Step-by-step explanation: