Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible choices, as it must decide whether or not to exit the industry immediately, at the end of this quarter, or at the end of the next quarter. If a firm chooses to exit then its payoff is 0 from that point onward. Each quarter that both firms operate yields each a loss equal to -1, and each quarter that a firm operates alone yields it a payoff of 2. For example, if firm 1 plans to exit at the end of this quarter while firm 2 plans to exit at the end of next quarter then the payoffs are 1,1) because both firms lose -1 in the first quarter and firm 2 gains 2 in the second. The payoff for each firm 1.

a. Write down this game in matrix form
b. Are there any strictly dominated strategies? Are there any weakly dominated strategies?
c. Find the pure-strategy Nash Equilibria.
d. Find the unique mixed-strategy Nash equilibrium.

Answer:

hundredths

Step-by-step explanation:

• right from the decimal point, the first value that comes starts from tens rather then ones

• we always add ' ths ' in every value from right to the decimal point

Answer:

5/2

Step-by-step explanation:

Answer:

a) [tex]P(X = n) = (0.85)^{n}[/tex]

b) [tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

c)

[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]

For each value, we use

[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

d) If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is said to unusual if it is more than 2.5 standard deviations from the mean.

85% of recent flights have arrived on time.

This means that [tex]p = 0.85[/tex]

(a) Find the probability that all of the flights were on time.

This is [tex]P(X = n)[/tex], in which n is the size of the sample studied.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}[/tex]

[tex]P(X = n) = (0.85)^{n}[/tex]

(b) Find the probability that exactly x of the flights were on time.

Exactly x of the flights: So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

(c) Find the probability that x or more of the flights were on time.

This is

[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]

For each value, we use

[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

(d) Would it be unusual for x or more of the flights to be on time?

If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no

Answer:

Answers are in the images below

Step-by-step explanation:

Hope it helps :)

PlsSSSS BRAINLIEST I NEED 2 MORE TO GET TO EXPERT

The following graph  shows the solution to the system of linear inequalities.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

"It is a set of points on the coordinate plane which satisfy given equation."

"It is a set of linear inequalities for which we find a common solution."

For given question,

We have been given two inequalities.

y ≤ 2x - 5

y > -3x + 1

We need to find the solution to the system of linear inequalities.

The graph of the inequality y ≤ 2x - 5 is the set of all points below the line y = 2x - 5

In the following graph it is denoted by blue shaded region.

The graph of the inequality y > -3x + 1 is the set of all points above the line y = -3x + 1.

The graph contain dotted line as the line y = -3x + 1 is not the y > -3x + 1

In the following graph it is denoted by red shaded region.

The solution to the system of linear inequalities is the set of all common points denoted by the purple region in the graph.

The following graph  shows the solution to the system of linear inequalities.

Learn more about system of inequalities here:

https://brainly.com/question/11232672

#SPJ2

Answer:

6.32

Step-by-step explanation:

:|

Answer:

6.32

Step-by-step explanation:

I counted up from G to H and I got 6. Since the line is a diagonal it makes it odd as in a weird number like a decimal most times. It can't be 6 because the line wouldn't make it to H it would be just short. 5.83 is already too short. 8 is to long for the line to be as it is now as a diagonal. 8, you would have to count up 6 and 2 to the right perfect but the line doesn't do that.

Answer:

[tex]y = 6\\\\x = 6\sqrt{2}\\x=8.485[/tex]

Step-by-step explanation:

The base-angles converse theorem states that in a triangle where two angles are congruent, the sides opposite the congruent angles are congruent. One can apply this theorem to the given triangle, and thus, y = 6, because of the base angles converse theorem.

It is also given that the given triangle is a right triangle, therefore, the isosceles triangle with a right angle theorem is applicable. This theorem states that in a right triangle (a triangle with a right angle), that is isosceles (two sides are congruent), the third side (non-congruent side) is equal to the length of the two congruent sides times the square root of (2). Hence, x = [tex]6\sqrt{2}[/tex], in the decimal form that is 8.485.

Answer:

The two numbers are 8&5

Step-by-step explanation:

13 = x + y

y = x-3

13 = x+(x-3)

13=2x-3

16=2x

x=8

y=1(8)-3

y=5

Answer:

$4.39 for 6 quartz

Step-by-step explanation:

if you multiply 2.89 by 2 it's more then 4.39

Answer:

(-6,2)

Step-by-step explanation:

You add the 5 to the y value because you are going up, down subtract. If you were going right you would add it to the x, left subtract.

Answer:

Step-by-step explanation:

have a nice day/night !

Answer:

Mean = 59

Median = 56.5

Step-by-step explanation:

56 + 57 + 53 + 63 + 68 + 52 + 55 + 65 + 62 = 531

531 / 9 = 59

Mean = 59

52, 53, 55, 56, 57, 62, 63, 65, 68

Num between 56 and 57

56.5

Median = 56.5

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

Answer:

First option

Step-by-step explanation:

In the sequence, the first term is -1. You add 5 to each term to get the next term. This is because -1 + 4 = 4, and so on. Thus, the correct sequence is the first option.

Answer:

What is N supposed to be? Is there supposed to be some picture or something that should tell us?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graph 1:

A=(-9,5)

B=(7,4)

C=(-6,-3)

D=(0,-5)

E=(8,-8)

F=(0,7)

G=(0,-8)

H=(0,4)

I=(-3,-9)

J=(-4,2)

Graph 2:

K=(5,7)

L=(0,-9)

M=(1,3)

N=-7,-5)

O=(7,-1)

P=(0,-1)

Q=(2,-4)

R=(-9,6)

S=(-3,0)

T=(0,9)

9514 1404 393

Answer:

  2635

Step-by-step explanation:

17 times the September number is ...

  17×155 = 2635 . . . . apples sold in November

Answer:

A and D  

Step-by-step explanation:

110 = 16 + 10h

Isolate the variable by subtracting 16 from both sides

110 - 16 = 10h

94 = 10h

Divide it by 10 to get the amount for 1 h

9.4 = h

Then plug that in to each equation to check to see which ones are true.

Answer:

99

Step-by-step explanation:

The formula is b x h = A

9 x 11 = A

9 x 11 = 99

A = 99

ps. PLZ give me brainliest!

Answer:

Gallons:       Miles:

0                  0

1                   23

2                  46

3                  69

Step-by-step explanation:

First, you would figure out what the unit rate is. To do that, you would divide the 184 miles by the 8 gallons of gas. You get 23 miles per gallon of gas.

Then, to fill out the unit rate table, copy this method:

You know that 0 gallons of gas would lead you nowhere, so you would put a zero in the first row.

In the second row, you use your answer from the first row (0) and add the number of miles per gallon of gas. You would add 0 + 23 and get 23. Put 23 in the second row.

In the third row, you multiply the number of miles per gallon of gas by 2. The answer is 23 x 2 = 46.

Lastly, you multiply 23 x 3 (answer: 69) to fill out the final row.  

Answer:a²=b²+c² in a right angle triangle so answer is root 136

Step-by-step explanation:

=========================================================

Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

Answer:

15

Step-by-step explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

Answer:

Step-by-step explanation:

The two triangles are similar dues to the ASA therom, so we can relate the sides to one another. That means that

13x=11x-4

2x=-4

x=-0.5

Answer:

whats the question...

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

24=-12x-60

84=12x

x=7

Answer:

24 = -12x - 60

84= -12x

-7 = x

Answer:

0.281 = 28.1% probability that the mean is less than 50.2 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 51 and standard deviation 9 inches.

This means that [tex]\mu = 51, \sigma = 9[/tex]

A sample, with size n = 43

By the Central Limit Theorem, [tex]s = \frac{9}{\sqrt{43}} = 1.3725[/tex]

What is the probability that the mean is less than 50.2 inches?

This is the pvalue of Z when X = 50.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{50.2 - 51}{1.3725}[/tex]

[tex]Z = -0.58[/tex]

[tex]Z = -0.58[/tex] has a pvalue of 0.281

0.281 = 28.1% probability that the mean is less than 50.2 inches.

Answer:

The red one

Step-by-step explanation:

Branlies plz Thank you!! :)

Answer:

65 pi, the closest one is 204.1 in^2

Step-by-step explanation:

This question is asking a surface area for a cylindrical bowl with top is empty, so you need to find one circle base and one rectangular side, as the hight is 4in, and wide is 10 inch, use the wide to find the circumference of the rectangular side, which is C = pi*d = 10 pi. Then the area for the rectangular side is A = 40 pi, and the area for the circle is A = pi*r^2 = (10/2)^2 * pi = 25 pi. Then add them together get Total area = 40 pi + 25pi = 65 pi or 65 * 3.14 = 204.1 in^2

Answer:

yes can i have brainliest

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I solved the question