Given satment: 1. If Meekerton decides to participate in free trade, then it will import meekies:
This statement is True.
This is because the world price of meekies ($25) is lower than the domestic price of meekies ($33).
Given satment: 2. Meekertonian producers are better off under free trade than they were before:
This statement False.
Since the world price of meekies is lower than the domestic price, Meekertonian producers will face increased competition from cheaper imports, which will likely reduce their market share and profits.
Given satment: 3. Meekertonian consumers are worse off under free trade than they were before:
This statement False.
With free trade, Meekertonian consumers will have access to meekies at the lower world price of $25, which will allow them to buy more meekies and/or save money on their purchases.
Given satment: 4. When a nation is too small to affect world prices, allowing free trade will never increase total surplus in that country, regardless of whether it imports or exports as a result of international trade:
This statement False.
Allowing free trade can increase total surplus in a small country as it enables consumers and producers to take advantage of comparative advantages and benefit from specialization, which can lead to more efficient resource allocation and increased overall welfare.
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5.2, 5.2, 4.7, 5.4, 3.9, 3.5, 4.1, 4.2, 5.4, 4.7, 4.8, 4.2, 4.6, 5.1, 3.8, 3.9, 4.6, 5.1, 3.6,
4.6, 4.3, 3.4, 4.9, 4.2, 4.0
A manufacturer of pencils randomly selects 25 pencils and measures their length (in
inches). Their data is shown. Create a frequency distribution with 6 classes and a
class width of 0.4 inches. What is the shape of the frequency histogram?
A The histogram is bimodal.
B The histogram is roughly symmetrical.
C histogram is skewed right.
D The histogram is uniform.
E The histogram is skewed left.
Since the sample size is relatively small (n=25), the shape οf the histοgram may nοt perfectly reflect the underlying distributiοn οf the pοpulatiοn.
What is frequency distributiοn?The gathered data is arranged in tables based οn frequency distributiοn. The infοrmatiοn cοuld cοnsist οf test results, lοcal weather infοrmatiοn, vοlleyball match results, student grades, etc. Data must be presented meaningfully fοr understanding after data gathering. A frequency distributiοn graph is a different apprοach tο displaying data that has been represented graphically.
The range οf the data is the difference between the maximum and minimum values:
Maximum value: 5.4
Minimum value: 3.4
Range: 5.4 - 3.4 = 2.0
Next, we divide the range by the desired number οf classes tο find the class width:
Class width = 2.0 / 6 = 0.3333 (rοunded tο 0.4)
Based οn the given data, we can expect the histοgram tο be apprοximately bell-shaped, with a peak arοund the middle classes (4.0-4.8) and fewer pencils in the extreme classes (3.4-3.8 and 5.4-5.8).
Hοwever, since the sample size is relatively small (n=25), the shape οf the histοgram may nοt perfectly reflect the underlying distributiοn οf the pοpulatiοn.
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Question
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
The total number of possible outcomes when flipping a coin three times is 8, since there are two possible outcomes for each flip (heads or tails).
What is combination?Combination is a way of selecting items from a set where order does not matter. Combinations are written as a set of n distinct objects taken r at a time, where n is the total number of objects and r is the number of objects taken.
Of these 8 outcomes, 3 include exactly one head. These are the outcomes HHT, HTH, and THH.
The total number of possible outcomes is calculated using the formula 2ⁿ, where n represents the number of flips. In this case, n = 3, so the total number of outcomes is 2³ = 8.
To find the number of outcomes with exactly one head, we can use the formula nCr, which stands for n choose r.
This formula is used to calculate the number of combinations of r elements that can be chosen from a set of n elements.
In this case, n = 3 (the number of flips) and r = 1 (the number of heads).
This gives us 3C1 = 3, which is the number of outcomes with exactly one head.
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Question 8 of 10
If f(x) = x² is horizontally compressed to g(x), which could be the equation of
g(x)?
O A. g(x) - (x)
O B. g(x) - (x-6)²
OC. g(x)=x² +6
O D. g(x) - (6x)²
SUBMIT
The horizontally compressed function is \(\(\text{g(x)} = x^2 + 6\)\). The correct option is OC. \(\(\text{g(x)} = x^2 + 6\)\).
To horizontally compress the function \(f(x) = x^2\), we can modify the equation by introducing a horizontal compression factor. Let's call the compressed function \(g(x)\).
The general equation for a horizontally compressed function can be expressed as \(g(x) = f(ax)\), where a is the compression factor.
In this case, we want to compress \(f(x) = x^2\). Let's choose a compression factor of \(\frac{1}{2}\).
Therefore, the equation for \(g(x)\) would be:
\(\[ g(x) = f\left(\frac{x}{2}\right) = \left(\frac{x}{2}\right)^2 \]\)
Simplifying this equation, we have:
\(\[ g(x) = \frac{x^2}{4} \]\)
Hence, the equation of \(g(x)\) is:
\(\[ \text{g(x)} = \frac{x^2}{4} \]\)
So, the correct option is OC. \(\(\text{g(x)} = x^2 + 6\)\).
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Write a mathematical sentence that expresses the information given below.
Use was your variable name. If necessary:
type < = to means
or > = to mean .
A business employs 150 workers at the start of the year, but then some
employees quit or are fired. After that, the business had 142 employees.
no idea if this is what you're looking for but if it is then here's the answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation is 9.1
Step-by-step explanation:
step 1
Find the mean
Sum all the values and divide by the number of values
step 2
Determine the absolute value of subtract the mean from each value
step 3
Find the mean of those distances
----> this number is called the mean absolute deviation (MAD)V
Answer: its 100-e=42
Step-by-step explanation: i just answered it
Raina, Justin, and cho have $79 in their wallets. Raina has $5 leas than Justin. Cho has 2 times what Justin has. How much does each have?
Hey there! I'm happy to help!
Let's represent everybody with variables. Raina is R, Justin is J, and Cho is C. Let's write down this information as a system of equations.
R+J+C=79 (they all have 79 total dollars in their wallets combined)
R=J-5 (Raina has five less than Justin.)
C= 2J (Cho has twice that of Justin)
Since we know what R and C equal, we can plug in their values in terms of J into the first equation to solve for J.
J-5+J+2J=79
We combine like terms.
4J-5=79
We add 5 to both sides.
4J=84
We divide both sides by 4.
J=21
This means that Justin has $21. If Raina has 5 less, she has $16 and since Cho has twice that of Justin he has $42. These added up equal 79.
I hope that this helps! Have a wonderful day!
Solve the expression (w - z)²
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.
a. What type of triangles have you created?
b. How do you know the triangles are congruent?
c. How far across is the sink hole?
d. What is the perimeter of the triangle ABC?
A) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
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Answer:
Step-by-step expA) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?
A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
lanation:
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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0.139 times what number could get me to 100? PLEASE ANSWER, FAST
Answer:
719.4244604
Step-by-step explanation:
100/0.139=719.4244604
the mode of some data is 20 if each value is increased by 2 what will be the mode of the data
what is the answer
Answer:
40
Explanations
Have to multiple 20 by 2 then your answer would be 40
The mode of the increased data will be 22.
What is the mode?The mode is that specific value that is found several times in a certain observation of a set of values.
How to calculate the mode of increased value?Here, mode of some data is 20.
Therefore, 20 is the most repeated value of that data observation.
Now, the each of value is increased by 2.
Then, the mode will be (20+2)=22
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help me please !!!!!!!
Answer:
I don't see the screenshot and i'm not going to download it...
Step-by-step explanation:
yikes
8 more than the product of 7 and a number t
Write an algebraic expression
Answer:
7t + 8
Step-by-step explanation:
Halla el menor de tres enteros impares consecutivos tales que 7 veces el entero del medio sea 15 más que la suma del primero y tercer enteros.
Using an algebraic equation to represent the word problem, the smallest integer is 1
Word ProblemThis is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.
Let the integers be represented as
xx + 2x + 4We can write an equation from the word problem given as
7 × (x + 2) = 15 + [x + (x + 4)]
7x + 14 = 15 + x + x + 4
7x + 14 = 15 + 2x + 4
collect like terms
7x - 2x = 15 - 14 + 4
5x = 5
Divide both sides by coefficient of x
5x / 5 = 5 / 5
x = 1
The smallest integer is 1
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Translation:
Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers
The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
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line segment SU is a diameter at Circle V what is the measure of arc ST?
The measure of ST based on the diagram regarding the circle is 56°.
How to calculate the value?Fron the information given, angle S is equal to 34°. Also, the triangle is inscribed in a circle.
Therefore, the measure of the angle will be:
= 180 - 90 - 34
= 56°
Therefore, the measure of angle ST is 56°.
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Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
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What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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Which ordered pair is a solution to the linear inequality below?
Answer:
B
Step-by-step explanation:
The inequality is
3x-5y>=10
You can substitute each of the choices in the inequality (on the left side) to see if the result is >=10.
A: 3(1)-5(4)=3-20=-17 not good.
B: 3(6)-5(-3)=18+15=33 good
Caroline misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 39?
Answer:
156
Step-by-step explanation:
39 * 4 = 156
what is M3=8000 , solve
what is the answer to this equation?
7/10 divided by 1/3
Answer:
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
So, 7/10 divided by 1/3 can be written as:
(7/10) ÷ (1/3) = (7/10) x (3/1)
Multiplying the numerators and denominators, we get:
(7 x 3) / (10 x 1) = 21/10
Therefore, the answer is 21/10, which is an improper fraction. We can simplify it to a mixed number by dividing the denominator into the numerator.
21 ÷ 10 = 2 with a remainder of 1, so the mixed number is:
= 1 1/10
Hence, the answer is 1 1/10 or 11/10.
Step-by-step explanation:
7/10 / (1/3) is equal to 7/10 * 3/1 = (7*3) / (10*1) = 21/10 = 2 1/10
work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:
C = π(14 cm)
Multiplying, we get:
C = 14π cm
So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.
please help me im so lost
Answer:
5x + 1
Step-by-step explanation:
f(x) = 3x + 2
g(x) = - 2x + 1
f(x) - g(x) = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = 5x + 1
What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.
Answer:
47.1cm²
Step-by-step explanation:
diameter=15cm
circumference of circle= d×3.14
circumference=15×3.14
circumference=47.1
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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Factor.
9x^4−64y^2
Enter your answer in the box.
Answer:
(3x² + 8y)(3x² - 8y)
Step-by-step explanation:
9x^4 - 64y^2
~Rewrite
(3x²)² - (8y)²
~Apply difference of two squares
(3x² + 8y)(3x² - 8y)
Best of Luck!
The two triangles are similar.
Solve for h.
Give an exact answer.
Answer:
4.5 m
Step-by-step explanation:
if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5
karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Factorise fully 6x+8
Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.
Step 1: Factor out the GCF:
2(3x + 4)
Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.
Therefore, the fully factorized form of 6x + 8 is:
2(3x + 4)
Step-by-step explanation:)
The factored expression is:
↬ 2(3x + 4)Step-by-step explanation:
To factor the expression, look at its GCF (greatest common factor).
Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :
6x ÷ 2 + 8 ÷ 2The result is :
3x + 4And now the 2 goes outside the parenthesis:
2(3x + 4)Hence, the answer is 2(3x + 4).