The Bertrand duopoly model assumes that firms set prices simultaneously and compete on the basis of price. In this case, if firm 1 sets a price of P, firm 2 will undercut that price and set a price slightly lower than P to capture all of the market demand. Therefore, both firms will set a price equal to their marginal cost to maximize profits. In this case, both firms have the same marginal cost of $1, so we would expect the prevailing price to be $1.
The Bertrand duopoly model assumes that firms compete on the basis of price. Each firm must decide what price to charge given the price charged by the other firm. If firm 1 sets a price of P, firm 2 will undercut that price and set a price slightly lower than P to capture all of the market demand. Therefore, both firms will set a price equal to their marginal cost to maximize profits. In this case, both firms have the same marginal cost of $1, so we would expect the prevailing price to be $1.
The prevailing price in a Bertrand duopoly model will be equal to the marginal cost of production. In this case, both firms have a marginal cost of $1, so we would expect the prevailing price to be $1.
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When you flip a biased coin the probability of getting a tail is 0.47. Find the probability of getting a head.
Answer:
0.53
Step-by-step explanation:
1 - 0.47 = 0.53
Answer: 0.53
Answer:
0.53 or 53%
Step-by-step explanation:
1 = 100%
1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.
In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE
Answer: 9
Step-by-step explanation:
[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]
make x the subject. help please
Answer:
[tex]\sf x = \dfrac{n - 2mp}{2m}[/tex]
Step-by-step explanation:
[tex]\sf 3m = m + \dfrac{n}{p + x}\\[/tex]
[tex]\sf 3m - m = \dfrac{n}{p +x}[/tex]
[tex]\sf 2m = \dfrac{n}{p +x}[/tex]
Now cross multiply,
2m*(p +x) = n
To open the parenthesis, multiply 2m by p and x.
2mp + 2mx = n
Isolate the term with variable 'x'
2mx = n - 2mp
Now, isolate 'x', by dividing both sides by 2m
[tex]\sf x = \dfrac{n-2mp}{2m}[/tex]
Answer:
x = [tex]\frac{N-2MP}{2M}[/tex]
Step-by-step explanation:
3M = M + [tex]\frac{N}{P+x}[/tex] ( subtract M from both sides )
2M = [tex]\frac{N}{P+x}[/tex] ( multiply both sides by P + x to clear the fraction )
2M(P + x) = N ← distribute parenthesis on left side
2MP + 2Mx = N ( subtract 2MP from both sides )
2Mx = N - 2MP ( divide both sides by 2M )
x = [tex]\frac{N-2MP}{2M}[/tex]
The sequence of transformations that can be
performed on quadrilateral ABCD to show
that it is congruent to quadrilateral GHIJ is
followed by a-
First transformation.
Duadrilateral ABCD has vertices with such coordinates:
A(15,10);
B(15,20);
C(20,15);
D(20,5).
Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then
A(15,10)→A'(15,10);
B(15,20)→B'(5,10);
C(20,15)→C'(10,15);
D(20,5)→D'(20,15).
Second transformation.
1. A reflection across the y axis has a rule:
(x,y)→(-x,y).
Then
A'(15,10)→A''(-15,10);
B'(5,10)→B''(-5,10);
C'(10,15)→C''(-10,15);
D'(20,15)→D''(-20,15).
2. A translation 20 units down has a rule:
(x,y)→(x,y-20).
Then
A''(-15,10)→G(-15,-10);
B''(-5,10)→H(-5,-10);
C''(-10,15)→I(-10,-5);
D''(-20,15)→J(-20,-5).
Answer: first blank -B, second blank - B.
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $208. If not, you pay me $35. (Aces are considered the highest card in the deck.) Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
The expected value of the proposition which is the net expected outcome is; $20.89.
How to find the expected value?We are given that;
There is a deck of cards.
There are 3 kinds of cards that have value under 4 (or equal). These 3 cards are 2, 3, 4 and they are in total 4 * 3 = 12 cards.
The probability that we draw such a card = 12/52 = 0.23.
Thus, the probability that we do not draw such a card = 1 - 0.23 = 0.77.
Now, If we play the game once, we will get 0.23 of the times $208 and 0.77 of the times $35.
Thus, the net total expected outcome is: (0.23*208) - (0.77*35)
= $20.89.
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Find the principal needed now to get the given amount; that is, find the present value.
To get $100 after 4 years at 10% compounded monthly.
The present value of $100 is ?
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
The number of songs that Deante' would have downloaded during month 9 is 58 songs.
What is a regression line?A regression line is a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.
By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that line of best fit for the songs downloaded is given by:
y = 2.03x + 39.7
Thus, the number of songs that Deante' would have downloaded during month 9 is:
y = 2.03(9) + 39.7
y = 18.27 + 39.7
y = 57.97 ≈ 58 songs.
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Answer:
A) ŷ = 2.03X + 39.73
B) 58
Step-by-step explanation:
A line of best fit is a line drawn on a scatter plot that shows the trend and the best estimation of the relationship between x and y.
After graphing it, it's easy to find the point at which x and why intersect along the line where x is nine.
Using the equation, just replace x with nine and solve.
Suppose matrix B is the inverse of matrix A. Use your knowledge of inverses and matrix multiplication to answer the following: AB
AB will be an Identity matrix.
What is an identity matrix?A square matrix with 1s on the main diagonal and 0s everywhere else is an identity matrix. The identity matrices 22 and 33, for example, are presented below. These are known as identity matrices because they produce the identity matrix when multiplied by a compatible matrix.If the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other. When the matrix is multiplied by the original matrix, the result is the identity matrix.As it is given in the description itself, if the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
Therefore, AB will be an Identity matrix.
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Answer:
AB= I
ABA=A
BBA=B
BBAA=I
Step-by-step explanation:
just took the test on edge. 2022
What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). all real numbers x ≤ -2 x ≥ -6 x ≥ 4
Using it's concept, the domain of the function represented by the graph is all real numbers.
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.
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Total area=
Help me please thanks so much
Answer:
1954
Step-by-step explanation:
11*7*50
What is the length of AC?
Answer:
Step-by-step explanation:
you are right AC is 16 because A-C are the same length
Which equation is the inverse of 5y+4= (x+3)²+?
0 y = x ² +
O
5
Oy=3±15x+
7
O y=-3±5x
11
10
O-5y-4--(x+3)²-1
72
4
Answer:eq
Step-by-step explanation:
During one month there were 7 days of precipitation. what if there had only been 3 days of precipitation that month? how would that change the measures of center? if necessary, round your answers to the nearest tenth.
The Mean will decrease while the Median and the Mode will remain with the same amount.
For Central Measures, we have Median, Mode and Mean. They try to describe the whole distribution by one value, in the center of it.
For this question, let's pick some examples from the Old Faithful, WY Station to the National Oceanic and Atmospheric Administration from 2015, January
1st Case Scenario:
For 7 days of precipitation, (Snow, ice pellets, etc. rain) in inches:
19 19 19 24 23 23 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Mean = 5
Median=0 (the sum of the 15th+16th position over 2)
Mode=0 (Most common observations)
2nd Case Scenario
For 3 days of precipitation, (Snow, ice pellets, etc. rain) in inches:
0 0 0 24 0 0 23 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Mean = 2.2
Median =0
Mode=0
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BE is two units longer than a EDE is five units longer than a E and CE is 12 units longer than AE what is BD
Length of BD is 11 units.
The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
Let length of AE be x
By intersecting chords theorem,
AE(ED) = BC(DE)
x(x + 12) = (x +2)(x +5)
x² + 12x= x² + 7x + 10
5x = 10
x = 2
BD = BE + DE
= x + x +7
= 2x + 7
= 2(2) + 7
= 11 units
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Which of the following statements about the scatter plot and the line of best fit are accurate? Select all that apply.
Answer:
- There are more points above the line than below
- This is not a line of best fit
Step-by-step explanation:
If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.
Find the surface area of the composite figure.
8 cm
6 cm
7 cm
8 cm
SA =
6 cm
[ ? ] cm²
9 cm
6 cm
If you'd like,
you can use a
calculator.
Enter
Answer:
The Answer Is 382...
Step-by-step explanation:
Pls, can someone help me? (whoever helps me gets BRAINLEIST)
Answer:
25 people
Step-by-step explanation:
These are the pieces of information we know.
- 1/6 who came to the restaurant ordered fish tacos
- There were 30 customers in total
- We need to find the number of people who did not order fish tacos
1. The number of people who ordered fish tacos can be expressed as: 30 x 1/6, which is 5. We know that 5 people ordered fish tacos.
2. Since we want to know the number of people who didn't want fish tacos, we take 5 away from 30: 30 - 5, which is 25.
25 people did not order fish tacos on Tuesday.
If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3
The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation [tex]\sqrt[3]{x}[/tex] maps onto [tex]\sqrt[3]{x+4} -3[/tex] . Take f(x) = [tex]\sqrt[3]{x}[/tex] and f(x+4)=[tex]\sqrt[3]{x+4}[/tex].
f(x) = [tex]\sqrt[3]{x}[/tex]
f(x+4)=[tex]\sqrt[3]{x+4}[/tex]
f(x+4) - 3=[tex]\sqrt[3]{x+4}[/tex] - 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
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ANSWER BOTH QUESTIONS PLEASE REALLY IMPORTANT AND URGENT! WILL GIVE BRAINLIEST! THANK YOU!!!
Answer:
10. Area: ((6+4) * 8)/2 = 40 ft^2
Perimeter: 6 + 4 + 8 + 12.8 = 30.8 ft
8. 22 + 22 + 22 + 38 + 27.2 = 131.2 ft
Here is a list of numbers: 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 state the median.
The median of list of numbers is-2.
Given the list of numbers is 13,15,6,8,-16,2,-12,3,-18,-18.
The median is the median of a sorted list of numbers. To find the median of a sequence of numbers, the numbers must be sorted in order from lowest to highest or highest to lowest.
Firstly, we will arrange the number from ascending to descending, we get
-18,-18,-16,-12,-6,2,3,8,13,15.
Now, we will find the middle term of the sequence, we get
The middle terms are -6 and 2.
Further, we will find the median of it.
n=(-6+2)/2
n=-4/2
n=-2
Hence, the median of the list of numbers 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 is -2.
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Which of the following describes the graph of {x | 1 < x < 2}? open circles on 1 and 2, arrows pointing out no solution open circles on 1 and 2 open circles on 1 and 2, line segment betweenWhich of the following describes the graph of {x | 1 < x < 2}? open circles on 1 and 2, arrows pointing out no solution open circles on 1 and 2 open circles on 1 and 2, line segment between
The open circles on 1 and 2 describe the graph of {x | 1 < x < 2}.
According to the statement
we have to describe the graph of {x | 1 < x < 2}.
In this type of graph there will be open circle because there is no equal sign in the statement.
there will be a line segment in between...because basically, u would put an open circle on 1, and open circle on 2 and shading in between.
so, in this statement we have given a some statements which are represent the given graph but only one. and from all of these
The condition having a open circles 1 and 2 represent the graphical representation than others because except this condition all are incapable to represent the graph.
So, The open circles on 1 and 2 describe the graph of {x | 1 < x < 2}.
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Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi
The length of the road that connects the service station with Cray is 46.2 mi.
How long will the new road be?
We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.
Hence;
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
Road connecting the service station with Cray =x
And;
120/130 = x/50
x = 46.2 mi
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If there are fifty raffle tickets in a jar, and only two will be drawn out, and you own two of them, what chance do you have of owning both winning tickets?
Answer:
1/25
Step-by-step explanation:
Answer:
I think it may be 1/1225
Step-by-step explanation:
first chance is 2/50 and second chance is 1/49 as one card decrease at first. So multiplying it we get 1/1225.
the lengths of the sides of a triangle are 3, 3, 3√2. can the triangle be a right triangle? yes no
Answer:
no hdjsjfjabjsjfbsbajdisjsb
The triangle can be a right triangle
How to determine the triangle type?The side lengths are given as:
3, 3 and 3√2
If the triangle is a right triangle, then the following must be true
a^2 = b^2 + c^2
Where a is the longest side.
So, we have:
[tex](3\sqrt 2)^2 = 3^2 + 3^2[/tex]
Evaluate the expressions
18 = 18
Both sides of the equation are equal
Hence, the triangle can be a right triangle
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Kashif bought a bicycle for rs 10000 and sold it for rs 8000 his loss percentage is
Answer:
20%
Step-by-step explanation:
Loss=C.P-S.PLoss=10000-8000Loss=2000Loss%=loss/cp*100Loss%=2000/10000*100Loss%=20%Condense log 2 4 + log 2 5
Answer:
[tex]log_{2}[/tex] 20
Step-by-step explanation:
using the rule of logarithms
loga + logb = logab
then
[tex]log_{2}[/tex]4 + [tex]log_{2}[/tex]5
= [tex]log_{2}[/tex] (4 × 5)
= [tex]log_{2}[/tex]20
work out the area of a rectangle with base, b = 20mm and perimeter, p = 50mm.
Answer:
100
Step-by-step explanation:
If the base is 20, then 2 of the sides must have a length of 20. This means that the TOTAL length of the remaining sides is 10. (20*2) + (10) = 50. If we divide that in half, we get 5. That is the side length of the remaining 2 sides. This means that 20 * 5 will give us the area (b*h).
Given,
base, b = 20mm &
perimeter, p = 50mm.
the area of the rectangle : (50 – 20 × 2) ÷ 2 = 5. 5 × 20 = 100 [tex]mm^{2}[/tex].
Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.
The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.
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The function a(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
2.b19
a(b)-12..
Which equation below represents the inverse function b(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
A. b(a)-2-9
B. b(a)-+9
OC. b(a)- +6
OD. b(a)-9-6
The inverse function of [tex]A(b) = 12 \cdot \frac{b + 9}2[/tex] is b(a) = a/6 - 9
How to determine the inverse function?The function is given as:
[tex]A(b) = 12 \cdot \frac{b + 9}2[/tex]
Divide 12 by 2
[tex]A(b) = 6 \cdot (b + 9)[/tex]
Rewrite the function as
[tex]a = 6 \cdot (b + 9)[/tex]
Divide both sides by 6
a/6 = b + 9
Subtract 9 from both sides
b = a/6 - 9
Express as a function
b(a) = a/6 - 9
Hence, the inverse function of [tex]A(b) = 12 \cdot \frac{b + 9}2[/tex] is b(a) = a/6 - 9
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Which ordered pair is generated from the equation shown below y = 3x - 1 OA) (6, 18) O B) (6, 17) OC) (4, 12) OD) (9,8)
Answer:
B) (6, 17)
Step-by-step explanation:
y = 3x - 1
To find a solution to the equation
Let x = 6
y = 3*6 -1
y = 18-1
y = 17
One possible solution is ( 6,17)
This is choice B
The length of a rectangle is 6 inches more than its width. Its area is 91 square inches. The length is .
Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in