What is the value of F
Explain
Hint: use your knowledge of either vertical angles or supplementary angles for this one. Set up an equation and solve for F.

In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

Learn more about Stackelberg model here: brainly.com/question/31604515

#SPJ11

The Critical value to be used to gain the 98 confidence interval for the population mean is2.508 and can be determined using the t- distribution table.

critical value is the value of a test statistic that defines the upper and lower bounds of the confidence interval or determines the position of statistical significance in a statistical test.

Given

The following way can be carried out to determine the critical value

Step 1-First determine the degrees of freedom using the following formula

degrees of freedom = n- 1

where n is the sample size.

Step 2- Replace" n" in the below formula.

degrees of freedom = 23- 1

= 22

Step 3- Now you can use the t- distribution table to determine the critical value to get a 98 confidence interval.

critical value = 2.508

To know more about Critical Value,

brainly.com/question/29490388

# SPJ4

The standard deviation of the sampling distribution is 0.00702.

In this case, we know that 8% of all adults in Ohio support the increase. We can use this information, along with the sample size of 1500, to calculate the standard deviation of the sampling distribution. The formula for the standard deviation of the sampling distribution is:

standard deviation = √ [(population proportion x (1 - population proportion)) / sample size]

Plugging in the numbers, we get:

standard deviation = √ [(0.08 x 0.92) / 1500]

standard deviation = √0.00004928

standard deviation = 0.00702

To know more about standard deviation here

https://brainly.com/question/16555520

#SPJ4

2.875 pounds of flour is needed for this recipe.

To determine how many pounds of flour is needed for the recipe that has three parts and it calls for 19 oz of flour for the first part, 2 oz for the second part and 25 oz for the third part we need to calculate the total weight of flour required.1 pound = 16 ounces.

Therefore,19 + 2 + 25 = 46 ounces

So the recipe calls for 46 oz of flour.

To find out how many pounds of flour is needed for this recipe, we need to divide the total weight of flour by the weight of one pound of flour; 16 oz.

This can be expressed mathematically as follows:46 ÷ 16 = 2.875

Thus, 2.875 pounds of flour is needed for this recipe.

Know more about pounds here:

https://brainly.com/question/498964

#SPJ11

Answer:

c = 37 mi

Step-by-step explanation:

   To find 'c' use Pythagorean theorem.

 \(\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}\)

                     c² = 35² + 12²

                         =1225 + 144

                        = 1369

                    \(\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}\)

Exploring large amount of data in other to explore underlying trends which cannot be uncovered by visual inspection or simple algorithms are analysed using Data mining.

Data mining are often performed using a network of interconnected computed or networks with very high processing capability and can handling high computational complexity due to the very large amount of data involved when data is being mined.

Linear regression are used on small data sets which cannot be compared to the vast amount of data involved in data mining.

Hence, data mining helps to uncover trends when exploring very large datasets.

Learn more : https://brainly.com/question/14517674

The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).

To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\)  and 121/\(n^2\).

Since we want to express the numbers in exact form, we keep them as they are.

The inequality states that −2\(e^{(-n/n^2)}\)  is less than or equal to 121/\(n^2\).

This means that the left-hand side is either less than or equal to the right-hand side.

The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\)  is negative or zero.

On the other hand, 121/\(n^2\) is positive for n ≥ 1.

Therefore, the inequality −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) holds true for n ≥ 1.

The negative or zero value of −2\(e^{(-n/n^2)}\)  ensures that it will be less than or equal to the positive value of 121/\(n^2\).

In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) for n ≥ 1.

This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.

Learn more about expressions here:

https://brainly.com/question/11701178

#SPJ11

Answer:

$735

Step-by-step explanation:

392/8=49

49*15=735

Answer:

17

Step-by-step explanation:

Assuming the -1 is not a typo, we can see that the function h is a linear function. Thus we can simply plug in -1 and 1 for h, then take the average of the 2 values we get.

h(-1) = 26, and h(1) = 8.

Average = (26 + 8)/ 2 = 17

The problem asks to find the average value of h on the interval [-1,1]. To do this, use the formula avg = 1/(b-a)∫[a,b] h(x)dx, where a and b are the endpoints of the interval. The integral can be evaluated from -1 to 1, resulting in an average value of approximately 0.0611.

The problem is asking us to find the average value of the function h on the given interval. The function is h(u) = (18 − 9u)−1 and the interval is [−1, 1].

To find the average value of the function h on the given interval, we can use the following formula: avg = 1/(b-a)∫[a,b] h(x)dx where a and b are the endpoints of the interval. In this case, a = -1 and b = 1, so we have:

avg =\(1/(1-(-1)) ∫[-1,1] (18 - 9u)^-1 du\)

Now we need to evaluate the integral. We can use u-substitution with u = 18 - 9u and du = -1/9 du:∫(18 - 9u)^-1 du= -1/9 ln|18 - 9u|We evaluate this from -1 to 1:

avg = \(1/2 ∫[-1,1] (18 - 9u)^-1 du\)

= \(1/2 (-1/9 ln|18 - 9u|)|-1^1\)

= 1/2 ((-1/9 ln|9|) - (-1/9 ln|27|))

= 1/2 ((-1/9 ln(9)) - (-1/9 ln(27)))

= 1/2 ((-1/9 * 2.1972) - (-1/9 * 3.2958))

= 1/2 ((-0.2441) - (-0.3662))

= 1/2 (0.1221)

= 0.0611

Therefore, the average value of the function h on the interval [-1,1] is approximately 0.0611.

To know more about average value Visit:

https://brainly.com/question/28123159

#SPJ11

The probability that all three sophomores will be chosen in the starting lineup is approximately 0.0455, or 4.55%.

To calculate the probability that all three sophomores will be chosen in the starting lineup, we need to determine the total number of possible lineups and the number of lineups where all three sophomores are selected.

The total number of possible lineups can be found using the concept of combinations. We want to select 5 players from a group of 12 players (2 freshmen, 3 sophomores, 4 juniors, and 3 seniors). Therefore, the total number of possible lineups is given by:

Total number of lineups = C(12, 5) = 792

Next, we need to determine the number of lineups where all three sophomores are chosen. Since there are 3 sophomores in the team, we need to select 3 players from the group of sophomores and 2 players from the remaining pool of players (freshmen, juniors, and seniors). The number of such lineups is given by:

Number of lineups with all three sophomores = C(3, 3) * C(9, 2) = 1 * 36 = 36

Finally, we can calculate the probability by dividing the number of lineups with all three sophomores by the total number of possible lineups:

Probability of all three sophomores being chosen = Number of lineups with all three sophomores / Total number of lineups = 36 / 792 ≈ 0.0455

Therefore, the probability that all three sophomores will be chosen in the starting lineup is approximately 0.0455, or 4.55%.

To know more about combinations visit:

https://brainly.com/question/3901018

#SPJ11

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

Step-by-step explanation:

6/√3×√3/√3=6√3\√3

because √3×√3=3 hope you are not confused pls follow

Answer:

2√3

Step-by-step explanation:

because yes

Let the missing number be X.

Set up the equation:

x/3i = 11-2i

Solve for x by multiplying both sides by 3i

x = 33i + 6

Answer: a = 9.3

Hope this helps you!

Answer:

7.30*1/2=7.30/2=2.65

7.30+3.65=10.95

$10.95

This proof was correctly started by both Eric and Maggie.

The next step in the proof is to set the right side of the equations equal by the transitive property of equality.

In Mathematics and Geometry, the Right Triangles Similarity Theorem states that when the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then, the two (2) triangles that are formed would be similar to each other, as well as the original triangle.

By applying the Right Triangles Similarity Theorem, we can reasonably infer and logically deduce that both Eric and Maggie started their proof correctly.

By using the transitive property of equality, the right side of the equations should be made equal in order to complete the next step.

Read more on triangles and proof here: https://brainly.com/question/27836529

#SPJ1

Complete Question:

This proof was correctly started by ____. Maggie, Both Eric & Maggie, Eric.

The next step in the proof is to _____ solve the equations for x, set the right side of the equations equal, or find the cosine of both angles. by the ____ Definition of cosine, substitution property of equality, transitive property of equality, multiplication property of equality.

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

Answer:

Step-by-step explanation:

I’m having the same problem

Answer:

Step-by-step explanation:

The expression in terms of m is 12m + 2.75.

To find the total cost of ordering 5 movie tickets, we plug in 5 for m: 12(5) + 2.75 = 62.75.

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

A customer service representative receives about 20% calls expressed as percentage which are complaints.

Total calls received = 150

Total number of complaint calls = 30

percentage of complaint calls = 30 /150 × 100% = 20%

Hence the total number of complaint calls is 20%.

Gains and losses in percentage terms are derived by computing the difference between two numbers and comparing that difference to the initial value.

One can calculate how much the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.

By dividing the absolute difference between two numbers by their average, one can determine the percentage difference between two values. You will receive the answer in % rather than decimal multiplied  by 100.

To learn more about percentage visit:

https://brainly.com/question/11361491

#SPJ4

Answer:

a. $250

b. The total cost for x month is $200 + $50 × x

c. Please see the attached graph

d. Yes, there is a proportional relationship between time and the cost of the cell phone plan

e. $350

Step-by-step explanation:

The given parameters are;

The costs to start on the cell phone cell = $200

The charge each month = $50

a. The total cost to use the cell phone plan for 1 month = Start up fee + Monthly charge = $200 + $50 = $250

b. The total cost for x month, c = $200 + $50 × x

c. Please see the attached graph

d. Yes, there is a proportional relationship between time and the cost of the cell phone plan

e. The line parallel to the line graphed that goes to the point (0, 350), is given as follows;

y = m·x + c

Where;

m = 50

y - 350 = 50 × (x - 0)

y = 50·x + 350

The startup fee is given by the total cost at x = 0, when the monthly fee is excluded, which gives;

c = 50 × 0 + 350 = 350

The startup fee for the pricing plan = $350.

The startup fee and monthly cost for this plan according to the question is :

Part a:

The total cost to use the cell phone plan for 1 month = Start up fee + Monthly charge

Part b:

Please see the attached graph

Part c:

Yes, there is a proportional relationship between time and the cost of the cell phone plan .

Part e:

The line parallel to the line graphed that goes to the point (0, 350), is given as follows;

y = m·x + c

Where;

m = 50 y - 350 = 50 × (x - 0) y = 50·x + 350

The startup fee is given by the total cost at x = 0, when the monthly fee is excluded, which gives;

c = 50 × 0 + 350 = 350

Yes, there is a proportional relationship between time and the cost of the cell phone plan e. $350

The given parameters are; The costs to start on the cell phone cell = $200 The charge each month = $50

The startup fee for the pricing plan = $350.

Know more :

https://brainly.com/question/14022450?referrer=searchResults

Answer:

5/2

Step-by-step explanation:

25 and 10 so 25/10 or 5/2 or 2 1/2

Answer:

(700-42-56)

Step-by-step explanation:

10-x

5-y

4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y

Answer:

x and y both equal 24

Possible number(s) of positive real zeros are 1 or 0 and Possible number(s) of negative real zeros: 2 or any even number

To determine the possible number of positive and negative real zeros of the polynomial q(x) = -7x^3 + 9x^2 - 8x + 2, we can use Descartes' rule of signs.

(a) Possible number(s) of positive real zeros:

For the polynomial q(x), we count the number of sign changes in the coefficients when we write them in descending order:

-7x^3 + 9x^2 - 8x + 2

There is only one sign change, from -8x to +2. Thus, there is exactly 1 positive real zero or none at all.

Possible number(s) of negative real zeros:

To determine the possible number of negative real zeros, we substitute -x into the polynomial:

-7(-x)^3 + 9(-x)^2 - 8(-x) + 2

Simplifying the expression:

7x^3 + 9x^2 + 8x + 2

Again, we count the number of sign changes in the coefficients:

7x^3 + 9x^2 + 8x + 2

There are two sign changes, from 7x^3 to 9x^2 and from 9x^2 to 8x. Thus, there are either 2 negative real zeros or any even number of negative real zeros.

In summary:

(a) Possible number(s) of positive real zeros: 1 or 0

(b) Possible number(s) of negative real zeros: 2 or any even number

To know more about real zeros.

https://brainly.com/question/30918562

#SPJ11

We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.

It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as

y∝\(\sqrt{x}\) which can again be written as y=\(\sqrt{x} k\) where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49

12=\(\sqrt{49} k\)=7k⇒12=7k⇒k=\(\frac{12}{7}\)

when x=225 then y=\(\sqrt{225}\)×\(\frac{12}{7}\)=15×\(\frac{12}{7}\)=25.7

R is inversely proportional to the cube of S,we can write it as

R∝\(\frac{1}{S^{3} }\) ⇒R=\(\frac{k}{S^{3} }\)

We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3

8=\(\frac{k}{27}\)

k=27x8=216

Value of R when S=6 will be

R=\(\frac{216}{6^{3} } =\frac{216}{216} =1\)

It is given that n varies directly as the square root of t and inversely as l,we can write it as

n∝\(\frac{\sqrt{t} }{l}\) which can be again written as n=\(\frac{\sqrt{t} }{l} k\) where k is a proportionality constant,we need to find the value of k first to find the value of t

We know that n=5 when t=16 and l=2

5=\(\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k\)

k=\(\frac{5}{2}\)

We know that n=10,l=3 and k=\(\frac{5}{2}\) substituting these values we can get the value of t

t=\((\frac{nl}{k} )^{2}\)=\((\frac{10.3.2}{5} )^{2} =12^{2} =144\)

Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.

Learn more about proportionality from here:

https://brainly.com/question/14083977

#SPJ9

Answer:your mom your mom your mom69

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

Learn more about alternate interior angles at

https://brainly.com/question/20344743

#SPJ1