Compared to smaller firms, larger companies tend to option (B) systematically scan foreign markets to see where export opportunities lie.
Larger companies tend to systematically scan foreign markets to identify potential export opportunities due to their greater resources, including financial and human capital. This allows them to invest in researching and analyzing foreign markets, and to create effective exporting strategies. Furthermore, larger companies often have established distribution networks and greater brand recognition, which can make exporting a more viable option.
In contrast, smaller firms may lack the necessary resources and expertise to effectively navigate the complexities of exporting to foreign countries, and may therefore be more hesitant to seek out export opportunities.
Therefore, the correct option is (B) systematically scan foreign markets to see where export opportunities lie.
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The given question is incomplete, the complete question is:
Compared to smaller firms, larger companies tend to
Multiple Choice
A) delay exporting until after their domestic market is fully saturated.
B) systematically scan foreign markets to see where export opportunities lie.
C) be intimidated by the complexities and mechanics of exporting to foreign countries.
D) hesitate to seek export opportunities because they do not know how big the opportunities actually are
E) be reactive about seeking opportunities for profitable exporting.
A rectangular prism has dimensions of 4 inches by 3 inches by 7 inches.
Calculate the surface area. Show your work
Answer: the answer would be 122
Step-by-step explanation:
To find the surface area you need to find the area of each face and add them together
2 (W L+H L+H W) = surface area
2·(4·7+3·7+3·4)=122
Answer:
Step-by-step explanation:
Given dimensions of the rectangular prism ,
4"×3"×7"
We know, Total surface area of a cuboid= 2(lb+bh+hl)
where, l=length of the cuboid
b= breadth " " "
h= height " " "
Since, a rectangular prism holds the shape of a cuboid, therefore it's surface area should also be 2(lb+bh+hl)
Now, surface area of the rectangular prism = 2(4×3+3×7+7×4)
=2(12+21+28)
=2×61
=122 square inches.
What is mutiplied by 6m-7 so that the produvct is 6m2-7m'
From the given information provided, m is multiplied by 6m-7 so that the product is 6m²-7m.
To find what is multiplied by 6m-7 so that the product is 6m²-7m, we can use polynomial long division or factorization. Here's how to do it using factorization:
We need to find two numbers that multiply to give 6m²-7m and add up to -7. We can factor the expression 6m²-7m as:
6m² - 7m = m(6m - 7)
So, we see that 6m-7 is a factor of 6m²-7m. Therefore, to find what is multiplied by 6m-7 to get 6m²-7m, we just need to divide 6m²-7m by 6m-7:
(6m² - 7m) / (6m - 7) = m
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what is the probability that the person selected will be someone whose response is never and who is a woman?
The probability that the person selected will be someone whose response is never and who is a woman is 3/7.
The probability that the person selected will be someone whose response is never and who is a woman can be found by using conditional probability.What is conditional probability?Conditional probability is the likelihood of an event occurring given that another event has already occurred. The probability of event A happening given that event B has already occurred is known as conditional probability.Mathematically, the formula for conditional probability is:P(A|B) = P(A ∩ B) / P(B)Where,P(A|B) represents the probability of event A given that event B has already occurred.P(A ∩ B) represents the probability of both A and B occurring.P(B) represents the probability of event B occurring.The given scenario states that the person selected should have two attributes: the response never and the gender woman. Let A be the event that the person selected has a response never and B be the event that the person selected is a woman. Therefore, we need to find the probability of event A given event B.P(A|B) = P(A ∩ B) / P(B)Therefore, we need to find the probability of both A and B occurring and the probability of event B occurring.P(B) = 70/120P(B) = 7/12There are 50 women in the group. The number of women who have never responded is 30. Therefore,P(A ∩ B) = 30/120P(A ∩ B) = 1/4Therefore,P(A|B) = P(A ∩ B) / P(B)P(A|B) = 1/4 / 7/12P(A|B) = 3/7The probability that the person selected will be someone whose response is never and who is a woman is 3/7.
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mrs. takac throws a ball upward from atop a 506 foot tall building and the ball's height, h, in feet after t seconds is given by the equation: the ball lands on a balcony that is 218 feet above the ground. how many seconds was it in the air?
The number of seconds that the ball was in the air is approximately 5.11 seconds
To find the time the ball was in the air, we need to find the time when the ball hits the balcony, which is located 218 feet above the ground.
Let's set h = 218 in the equation h = -16t^2 + 48t + 506 and solve for t
218 = -16t^2 + 48t + 506
Simplifying, we get
16t^2 - 48t - 288 = 0
Dividing both sides by 16, we get
t^2 - 3t - 18 = 0
Using the quadratic formula, we can solve for t:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -3, and c = -18
t = (3 ± sqrt(3^2 - 4(1)(-18))) / 2(1)
t = (3 ± sqrt(105)) / 2
We can ignore the negative solution because time cannot be negative. Therefore, we have
t = (3 + sqrt(105)) / 2
t ≈ 5.11 seconds
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The given question is incomplete, the complete question is:
A person throws a ball upward from a 506 foot tall building the balls height h in feet after t seconds is given by the equation h= -16t^2+48t+506 the ball lands on a balcony that is 218 feet above the ground how many seconds was it in the air
alison has five different hats, six different bracelets, and seven cats. she wants to take a selfie with a hat, a bracelet, and two cats. how many different selfies can she take?
Answer:
The answer is 60
Step-by-step explanation:
2x5x6
rearrange by the commutative property
(2x5)x6
Calculate
10x6
calculate the product or quotient to 60
hence the answer is 60
Hoped this helped:D
Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.
She wants to take selfies with what she has, and the question asks how many different selfies can she take.
Let's solve the question below:
The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )
As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.
We can use the combination formula to calculate the total number of ways:
₇C₂ = [tex](7 * 6)/2[/tex]
= 21
Hence, Alison can take [tex]5 * 6 * 21[/tex] = 630 different selfies with a hat, a bracelet, and two cats.
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In a car manufacturing factory,
1
3
of employees work in the production section,
1
4
in the
service section and
2
5
of the remaining employees in the sales section. The rest of the
employees work in other sections. A. What fraction of the total number of employees work in production section,
service section and sales section? (2)
b. What fraction of the total number of employees work in other sections? (2)
There are 6000 employees work in production section than the sales section. C. Calculate the total number of employees work in the factory. (2)
In 2018, factory manufactured 450 000 cars. In 2019, it was increased by 15% and in 2020 decreased by 15%
d. Calculate the number of cars produced in year 2020. (2)
e. Find the percentage change of production from year 2018 to 2020
The employees work in the production, service, and sales sections is 3/4 of total number. 1/4 of the employees work in other sections. The total number of employees in the factory is 14,400. The number of cars produced in 2020 is 439,875. The production decreased by 2.25% from 2018 to 2020.
Let the total number of employees in the factory be represented by the variable x. Then, the fraction of employees in the production section is 1/3x, the fraction in the service section is 1/4x, and the fraction in the sales section is 2/5 of the remaining employees, which is (1 - 1/3 - 1/4) x = 7/60x. Therefore, the fraction of employees in the production, service, and sales sections is:
1/3x + 1/4x + 7/60x = 15/20x = 3/4x
The fraction of employees in other sections is the remaining fraction after accounting for those in the production, service, and sales sections:
1 - 3/4x = 1/4x
Let the number of employees in the sales section be represented by the variable y. Then, the number of employees in the production section is y + 6000, and the number of employees in the service section is (1/4)x. Therefore, the total number of employees in the factory is:
y + 6000 + (1/4)x + y + 7/60x + 3/4x = 1x
Simplifying this equation, we get:
5/12x + 2y = 6000
we can find their sum as:
x + y = (12/5)(6000) = 14,400
The number of cars produced in 2019 is:
450,000 x 1.15 = 517,500
The number of cars produced in 2020 is:
517,500 x 0.85 = 439,875
The percentage change in production from 2018 to 2020 is:
[(439,875 - 450,000)/450,000] x 100% = -2.25% (rounded to two decimal places)
Therefore, the production decreased by 2.25% from 2018 to 2020.
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what is the problem with this question item that appeared in a survey? was your phone purchased in the last two years and have you recently updated it?
Option B, The fact that this survey question is a double-barreled question makes it problematic.
A survey question known as a double-barreled question has two questions inside one, making it challenging for respondents to give truthful and insightful responses.
The offered inquiry, in this instance, combines two distinct inquiries: if the phone was acquired within the last two years and whether it has recently had an upgrade.
Inconsistent answers might result from a person who bought their phone more than two years ago but only recently upgraded it, or vice versa. In order to prevent double-barreled questions and guarantee that responders can give precise and complete replies, each question should be isolated and posed independently.
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The question is -
What is the problem with this question item that appeared in a survey? was your phone purchased in the last two years and have you recently updated it?
a. It is a leading question
b. It involves negative wording
c. It is a double-barreled question
d. It is not on a Likert Scale
Which expression is equivalent to 0.75a + 10b + a – 2b?
Answer:
1.75a + 8b
Step-by-step explanation:
0.75a + 10b + a - 2b ← collect like terms
= (0.75 + 1a) + (10b - 2b)
= 1.75a + 8b
Answer:
1.75a+8b
Step-by-step explanation:
Given here, 0.75a + 10b + a – 2b = 0.75a+a+10b-2b
=1.75a+8b
Hence, The required equivalent expression is 1.75a+8b
PLEASE HELP ME & FAST !!!
The percentage of 65 out of 140 will be 46.428%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
[tex]\text{Percentage (P) = [Final value - Initial value] / Initial value x 100}[/tex]
The whole numbers are 65 and 140.
Then the percentage is written as,
[tex]P = (65 \div 140) \times 100[/tex]
[tex]P=0.46428 \times 100[/tex]
[tex]P=46.428\%[/tex]
The percentage of 65 out of 140 will be 46.428%.
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Enlarge shape A by scale factor 1. 5 with centre of enlargement (0, 0)
To enlarge Shape A by a scale factor of 1.5 with the center of enlargement (0, 0), we have to multiply every length by 1.5.
Enlargement of Shape A
Enlargement of a shape is when it is either stretched or shrunk in one or both directions. The original shape is called the pre-image, while the new shape is called the image. What is the centre of enlargement?
The center of an enlargement is the point about which all of the points of the pre-image are scaled to obtain the image. When the scale factor is greater than 1, the image of the pre-image is an enlargement. When the scale factor is between 0 and 1, the image of the pre-image is a reduction.In an enlargement, each point on the pre-image is mapped onto a corresponding point on the image along a straight line which goes through the centre of enlargement.
The new shape has a larger size than the original shape. To expand shape A by a scale factor of 1.5, you need to multiply each length by 1.5. You have to create new points. It's easy to use a scale ruler to make sure each length is multiplied by 1.5.
A Centre of enlargement is a point in the coordinate plane that enlarges or shrinks a figure by some scale factor. In the problem, the center of enlargement is (0, 0).
Thus, we have to extend every length of Shape A by 1.5, and our scale factor is 1.5. We get Shape B by doing so. Now, we can conclude that to enlarge Shape A by a scale factor of 1.5 with the center of enlargement (0, 0), we have to multiply every length by 1.5.
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Diego used unit cubes to make a rectangular prism what is the volume of the prism
can we see a picture or equation
a number is five times a smaller number. find the larger number of their difference is 52
The larger number if the difference of the numbers is 52 is 65.
How to find the larger number?A number is five times a smaller number. Let's find the larger number when their difference is 52.
Therefore,
let
x = smaller number
larger number = 5x
There difference is 52. Hence,
5x - x = 52
4x = 52
divide both sides of the equation by 4
x = 52 / 4
x = 13
Therefore,
larger number = 5(13) = 65
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.. Sasha Abbott earns $62,550.00 in taxable income each year. The tax rate is 3.6%, and she takes zero deductions. How much tax does her employer withhold each year? A $2,380.50 B $2,251.80 C $2,500.40 D $1,823.20
Answer: B $2,251.80
Step-by-step explanation:
:)
Shakita buys an apple tree and a cherry tree and measures them at the end of every
year for 5 years. After 1 year, the apple tree is 14 feet tall. After 5 years, it is 22 feet
tall. The cherry tree's height is represented by y = 3x + 8.
If both trees grew at a constant rate, which tree was taller when they were planted,
and which grew more quickly?
OA. The cherry tree was taller when the trees were planted, and it also grew
more quickly.
OB. The apple tree was taller when they were planted, but the cherry tree
grew more quickly.
OC. The cherry tree was taller when the trees were planted, but the apple tree
grew more quickly.
D. The apple tree was taller when the trees were planted, and it also grew
more quickly.
PRE
< PREVIOUS
2 of 2
Answer: B
Step-by-step explanation:
because I did it and it was right lol
Which of the following statements is true of the Comprehensive Environmental Response, Compensation, and Liability Act?
Cleanups may be carried out by the Environmental Protection Agency or private parties.
The statement "Cleanups may be carried out by the Environmental Protection Agency or private parties" is true of the Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA), also known as Superfund.
What is the Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA)?
The Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA), commonly known as Superfund, is a United States federal law aimed at cleaning up sites contaminated with hazardous substances as well as preventing future hazardous waste site contamination.
CERCLA was passed by the United States Congress in December 1980 as a means of counteracting the increasing risk of hazardous waste sites in the United States.
What does CERCLA cover?
CERCLA was enacted to offer a federal "Superfund" to clean up uncontrolled or abandoned hazardous waste sites, as well as responding to oil spills, chemical disasters, and other emergencies that present a threat to the public health and the environment.
Cleanups may be carried out by the Environmental Protection Agency or private parties.
When it comes to financing these cleanups, the law mandates that those responsible for the contamination pay for the cleanup or those who do not take responsibility for the pollution.
The legislation was enacted to provide for the cleanup of the country's most hazardous waste sites and to ensure that businesses that generate hazardous waste are held responsible for their toxic contributions to the environment.
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3.- cual es la máxima distancia que pueden recorrer sin cambiar de dirección en una pista de patinaje en forma de rombo, si cada lado mide 26 mts y ka diagonal menor 40 mts ?
Consequently, in this rhombus-shaped skating rink, the longest distance that may be covered without changing directions is 40 metres.
what is perimeter ?The total distance encircling a two-dimensional shape's perimeter is known as its perimeter. It represents the total length of the shape's sides. The perimeter of a rectangle, for instance, can be determined by combining the lengths of its four sides: A rectangle's perimeter equals 2 x (length + width). Other shapes, such triangles, circles, and polygons, can have their perimeters determined using the appropriate formulas.
given
The formula for the perimeter of a rhombus, which is the sum of the lengths of its four sides, can be used to determine the greatest distance that can be covered in a rhombus-shaped skating rink without changing direction.
Given that the sides are each 26 metres long, the rhombus's perimeter would be:
Perimeter: (4 x 26) = 104 metres
But, we must consider that the smaller diagonal of the skating rink measures 40 metres in order to determine the most distance that may be traversed without changing directions. This means that the skater is limited to a 40-meter radius before having to change directions.
Consequently, in this rhombus-shaped skating rink, the longest distance that may be covered without changing directions is 40 metres.
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The complete question is:- 3.- What is the maximum distance that can be traveled without changing direction in a rhombus-shaped skating rink, if each side measures 26 meters and the smaller diagonal is 40 meters?
Evaluate q2 + (r5 -10) if q = 5 and R = 2
Answer:
q=5,R=2
Step-by-step explanation:
=5×2+(2×5-10)
=10+(10-10)
=10+0
=10
After Simon fully charges his electric car, he can drive for up to 350 miles before it runs out of battery. Simon's car was fully charged this morning, and he has driven 140 miles since then.
Let x represent how many more miles Simon can drive without running out of battery. Which inequality describes the problem?
the inequality that describes the problem is x ≤ 210, meaning that Simon can drive at most 210 more miles before his electric car runs out of battery.
If Simon has driven 140 miles since fully charging his car, then the amount of charge remaining in the battery can power the car for x miles. We can set up the following inequality to represent this situation:
x ≤ 350 - 140
The amount of charge left in the battery is shown on the right-hand side of the inequality and is equal to the maximum amount of charge the battery can store (350 miles) minus the amount of charge that has already been utilised (140 miles). The left-hand side of the inequality displays the number of miles Simon can travel until his battery runs out, which is either less than or equal to the battery's remaining charge.
Simplifying the inequality, we get:
x ≤ 210
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Edwin drives his car at a speed of 70km per hour how much distance will he cover in 3 hour and 30 minutes
The total distance covered by Edwin in duration of 3 hours and 30 minutes at a speed of 70km per hour is equal to 245 kilometers.
Use the formula,
distance = speed x time
To find the distance Edwin covers in 3 hours and 30 minutes.
First, convert 3 hours and 30 minutes to hours.
1 hour is equal to 60 minutes, so,
This implies,
3 hours and 30 minutes
= 3 + 30/60
= 3.5 hours
Now apply the formula we have,
distance = speed x time
⇒ distance = 70 km/h x 3.5 h
⇒ distance = 245 kilometers
Therefore, distance covered by Edwin will be 245 kilometers in 3 hours and 30 minutes, if he drives at a speed of 70 km/h.
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-5,-7-9-11-13 what is the 2nd term in this linear sequence
The 2nd term in this given linear sequence {-5, -7, -9, -11, -13} is -7. So the correct answer is -7.
A linear sequence repeatedly increases or decreases by the same amount. The number added (or subtracted) at each stage of the linear sequence remains the same.
A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference.
Examples of linear sequences occur when things change by the same amount each time.
Here is the linear sequence: 8, 11, 14, 17...
To find the next term in this sequence we calculate the common difference.
In this example the common difference is +3.
8 (+3) 11 (+3) 14 (+3) 17 (+3) …
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Kenya is conducting a probability experiment with one number cube with numbers 1 through 6 on each face. She rolls the number cube, records the number on the side that is face up, and repeats the process.
If Kenya rolls the number cube 90 times, what is a reasonable prediction for the number of times that a 1 or a 6 will land face up?
Answer:
The number cube has 6 equally likely outcomes, so the probability of rolling a 1 or a 6 on any given roll is 2/6 = 1/3.
If Kenya rolls the number cube 90 times, we can use the expected value formula to find the expected number of times that a 1 or a 6 will land face up:
Expected number of 1's or 6's = (number of rolls) x (probability of rolling a 1 or a 6)
Expected number of 1's or 6's = 90 x (1/3)
Expected number of 1's or 6's = 30
Therefore, a reasonable prediction for the number of times that a 1 or a 6 will land face up is 30.
A parking lot was full of different colored cars. There were 12 red cars, 15 blue cars, and 3 green cars. At this rate, how many blue cars will there be if there were 120 total cars?
Fill in the blanks so the left side is a perfect square trinomial. That is, complete the square.
a. x^2+5/6x+___=(x+___)^2
b. x^2-11x+___=(x-__)^2
ANSWERS:
A ) x^2 + 5/6x + 25/144 = (x + 5/12)^2
B ) x^2 - 11x + 121/4 = (x - 11/2)^2
EXPLANATION:
a. To complete the square for the equation x^2 + 5/6x + ___,
first divide the coefficient of the linear term (5/6) by 2,
which gives you 5/12.
Then, square the result:
(5/12)^2 = 25/144.
So, the equation becomes:
x^2 + 5/6x + 25/144 = (x + 5/12)^2
b. To complete the square for the equation x^2 - 11x + ___,
first divide the coefficient of the linear term (-11) by 2,
which gives you -11/2.
Then, square the result:
(-11/2)^2 = 121/4.
So, the equation becomes:
x^2 - 11x + 121/4 = (x - 11/2)^2
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Which inequality does this graph show?
We found for the line passing through (-1, 0) and (0, -1.5), we can see that the correct inequality is option A is -2y + 2x ≥ 7x + y + 5.
Describe Inequality?An inequality is a mathematical statement that compares two quantities or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
Inequalities can involve variables or constants, and can be expressed in one variable or multiple variables. The solution to an inequality is the set of values that satisfy the inequality.
For example, the inequality 2x + 3 > 7 is true for values of x that are greater than 2, since if we substitute x = 2, we get 2(2) + 3 = 7, which is not greater than 7. On the other hand, if we substitute x = 3, we get 2(3) + 3 = 9, which is greater than 7, so the inequality is true for x > 2.
Inequalities have many applications in mathematics and other fields, such as economics, physics, and engineering. They are used to represent constraints in optimization problems, to model relationships between variables, and to describe ranges of possible values for a quantity or variable.
To determine the correct inequality, we need to find the equation of the line that passes through the points (-1, 0) and (0, -1.5).
The slope of the line can be calculated as follows:
m = (y2 - y1) / (x2 - x1)
m = (-1.5 - 0) / (0 - (-1))
m = -1.5
The y-intercept of the line can be found by substituting one of the points and the slope into the point-slope form of a line:
y - y1 = m(x - x1)
y - 0 = -1.5(x - (-1))
y + 1.5 = -1.5x - 1.5
y = -1.5x - 3
Now we can rewrite the inequality in the form y <= mx + b, where m is the slope and b is the y-intercept.
-2y + 2x >= 7x + y + 5 can be simplified to:
-3y >= 5x + 5
Dividing both sides by -3, we get:
y <= (-5/3)x - 5/3
Comparing this to the equation we found for the line passing through (-1, 0) and (0, -1.5), we can see that the correct inequality is option A:
-2y + 2x ≥ 7x + y + 5
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Show how to change 9^8/7 into a radical expression
Answer:
Rewrite the expression using the negative exponent rule b−n=1bn b - n = 1 b n . 1y98 1 y 9 8.
Step-by-step explanation:
one-tailed two-tailed a) a pharmacist wants to test whether the effect of a placebo is different from zero. b) holdem motors wants to test whether the mean time to assemble a car is less than 24 hours. c) ihi insurance wants to test whether the mean time to process a claim is less than 7 days
The appropriate type of test for each scenario is a) a two-tailed test, b) a one-tailed test, and c) a one-tailed test.
a) This would be a two-tailed test as the pharmacist is testing for a difference, rather than a specific direction of effect.
b) This would be a one-tailed test as Holdem Motors is specifically testing whether the mean time to assemble a car is less than 24 hours, rather than testing for a difference in either direction.
c) This would be a one-tailed test as IHI Insurance is specifically testing whether the mean time to process a claim is less than 7 days, rather than testing for a difference in either direction.
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which of the following best describes the chord of a circle? a chord is any segment in which the end points are found on the arc of the circle. a chord is a triangle inside of a circle. a chord is the arc formed from the segment. a chord is a square inside of a circle.
The statement that best describes the chord of a circle is a chord is any segment in which the end points are found on the arc of the circle. (option a).
A chord of a circle is a line segment that connects two points on the circle. The two endpoints of the chord are called the endpoints of the chord, and they lie on the circumference of the circle.
Therefore, option (a) that states that a chord is any segment in which the endpoints are found on the arc of the circle is the correct answer.
It is important to note that a chord does not have to pass through the center of the circle. If a chord passes through the center of the circle, it is called a diameter. A diameter is the longest chord of a circle, and it divides the circle into two equal parts called semicircles.
The correct answer to the question is option (a), which states that a chord is any segment in which the endpoints are found on the arc of the circle.
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Complete Question:
which of the following best describes the chord of a circle?
a) a chord is any segment in which the endpoints are found on the arc of the circle.
b) a chord is a triangle inside of a circle.
c) a chord is the arc formed from the segment.
d) a chord is a square inside of a circle.
prove that cn, an n-cycle, has exactly n labeled spanning trees. you may use any method you wish to do this problem. write a good, detailed, and thoughtful proof!
To prove that a cycle graph Cn has exactly n labeled spanning trees, we can use the principle of inclusion-exclusion. First, consider a tree T that is composed of the n edges of Cn. This tree has n edges and is therefore an n-edge tree. In order for it to be a labeled spanning tree, every vertex must be labeled with a distinct label. Since Cn has n vertices, there are n! ways to label the vertices, giving us n! labeled spanning trees.
Now, we can use inclusion-exclusion to determine the number of labeled spanning trees that are a subset of T. For each vertex vi in T, we can choose any label from the set of n labels. For each of these labels, we can choose any edge from the n edges in T. The total number of labeled spanning trees that are a subset of T is therefore: n2 × n!
Now, we can subtract the number of labeled spanning trees that are a subset of T from the total number of labeled spanning trees to get the number of labeled spanning trees that are not a subset of T. The number of labeled spanning trees that are not a subset of T is: n! - n2 × n! = n! - n2! Therefore, the total number of labeled spanning trees of Cn is n!.
This proves that a cycle graph Cn has exactly n labeled spanning trees.
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the purchasing agent at a local hardware store noticed a sale on hammers. the original price of the hammers was $12 each. with the discount, he could get each hammer for $9.50. what percentage was the discount (rounded to nearest whole percentage)?
The percentage discount on the hammers is about 21%.
The discount is the difference between the original price and the discounted price.
Discount = $12 - $9.50
subtract the numbers
= $2.50
To find the percentage discount, we divide the discount by the original price and multiply by 100
Percentage discount = ( Discount / Original price ) x 100
Substitute the values in the equation and find the percentage discount
Percentage discount = ( $2.50 / $12 ) x 100
Do the arithmetic operation
Percentage discount = 20.83%
Rounding to the nearest whole percentage, the discount is approximately equal to 21%.
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why do we use the paired t test for these data? in other words, why these two samples are matched pairs? select the most suitable answer.
Two samples are matched pairs because there are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics. Correct option is A.
This is because the paired t-test is used when we have two related samples or when the same sample is measured twice, such as before and after a treatment.
In this case, the two samples being compared are students' GPAs before and after a particular intervention or treatment. Since the same group of students are being measured twice, they are matched pairs and the paired t-test is appropriate to use.
Option B is not a suitable answer because the fact that the samples are both MBA majors does not necessarily make them matched pairs. Option C is also not a suitable answer because having equal numbers of data does not necessarily make the samples matched pairs.
Option D is not a suitable answer because it does not provide any explanation as to why the paired t-test is being used.
Therefore, correct option is A.
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Complete question is:
Why do we use the paired t test for these data? In other words, why these two samples are matched pairs? Select the most suitable answer. A. There are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics.
B. There two samples of MBA majors.
C. There are two samples with equal number of data.
D. None of these.