Question 4 of 10
Which situation best illustrates the concept of absolute advantage?
A. A German factory can build more sports cars than foreign factories.
B. Most of the world's largest companies have operations in many different countries.

C. The total value of Japanese imports is greater than the total value of the country's exports.

D. A French restaurant buys food from nearby farms to support the local economy.

Answer:A=BxH divided by 2

                  _

Step-by-step explanation:

Answer:

a) Z = 2.575.

b) Z = 2.327.

c) Z = 1.96.

d) Z = 1.645.

e) Z = 1.88.

Step-by-step explanation:

Question a:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.99}{2} = 0.005\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.005 = 0.995\), so Z = 2.575.

Question b:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.98}{2} = 0.01\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.01 = 0.99\), so Z = 2.327.

Question c:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Question d:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

Question e:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.94}{2} = 0.03\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.03 = 0.97\), so Z = 1.88.

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Answer:

This is because it is easier this way.

You avoid the problem of putting an element in one set and then realizing that the element also belongs to another set, then you must erase something in order to put the element in both sets. Starting with the intersection allows you to know where will be each set in the diagram, and in this way, the diagram should end up being more readable or "clean".

This may seem small, but being "clean" when doing math, will allow you to have an easier time dealing with a lot of problems. And also will be easier for other people when reading your equations and such.

Answer:

First I need to know how much chores she does because I can't get the money that she makes with the word SOME I need to know how many chores she makes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

Answer D) B, C, and D

Step-by-step explanation:

Point D is 2 and point B is -2, meaning they are opposites of each other. Point C is 0, which is it's own opposite

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Step-by-step explanation:

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

Normal Probability Distribution:

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

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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

Central Limit Theorem

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

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

Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.

This means that \(\mu = 40000, \sigma = 2000\)

Jean selected three neighborhoods and determined the average income level.

This means that \(n = 3, s = \frac{2000}{\sqrt{3}} = 1154.7\)

What is the probability that the average income level in the neighborhoods was less than $38,000

This is the pvalue of Z when X = 38000. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{38000 - 40000}{1154.7}\)

\(Z = -1.73\)

\(Z = -1.73\) has a pvalue of 0.0418

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

The 99% confidence interval for the difference between the average years of service between men and women would be = 3.43.

Confidence interval is defined as the statistical parameter that is used to know if a set of values would fall within a certain range of population or not.

Using the statistical table, the value of 99% or 0.99 confidence interval has a z-score = 2.576

The standard error that exists between the bothe value = SD/Ö

Where SD = difference between the standard deviations = 8.39 - 4.39 = 4

Where ñ = different between the average years of service = 9.62

Standard error= 4/√9.62 = 4/3.01 = 1.33

The confidence interval = 2.576 × 1.33 = 3.43.

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Answer:

37, 3, 37

Step-by-step explanation:

Answer:

431.25 approximately 431

Step-by-step explanation:

one way of calculating it would be to get the measure per one person which would be equal to 46 / 64 = 0.7 people in one square feet

then multiply 0.7 by the total distance = 431.25 approximated to 431

8 tons = 16000 pounds

conversion:

1 tons ➟ 2000 pounds

8 tons ➟ (2000 * 8) pounds

8 tons ➟ 16000 pounds   ⚡⚡

The amount 8 tons in pounds can be written as 16, 000 pounds.

To convert 8 tons to pounds,

we need to know that 1 ton is equal to 2,000 pounds.

We know that when a smaller unit converted to big unit then we have to multiply.

So, the conversion of 8 tons to pounds

= 8 tons x 2,000 pounds/ton

= 16,000 pounds

Thus, the amount 8 tons in pounds can be written as 16, 000 pounds.

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Applying a translation of 5 units left and 2 units up to LM yields the transformed figure L'M' and choice A.

A graph can be moved either laterally or vertically parallel to the -axis, and this movement is called a translation.

LM can be converted to L'M' by carefully following the steps below:

The coordinates (10, -8) are translated 5 units left and 2 units up, which means that the location is obtained by deducting 5 from the x-coordinate and adding 2 to the y-coordinate. (5, -6).

Due to its location on the y-axis, the point (10%, 8) does not shift.

The translation of the point (8, 6M) is 5 units left and 2 units up, which indicates Consequently, we need to add 2 to the y-coordinate and remove 5 from the x-coordinate to get the point. (3, 8M).

The coordinates of the point (2, 6) are moved 5 units to the left and 2 units to the up, giving us the coordinates of the point. (-3, 8).

The translation of the point (6, -8) is 5 units left and 2 units up, so we deduct 5 from the x-coordinate and add 2 to the y-coordinate to get the point. (1, -6).

The point (-8, M) is translated 5 units to the left and 2 units to the right, so we take 5 off the x-coordinate and add 2 to the y-coordinate to get the point. (-13, M).

The key argument (4, 6) is translated as 5 units to the left and 2 units to the up, which means we take 5 away from the x-coordinate and add 2 to the y-coordinate to get the location. (-1, 8).

The coordinates (6, 8) are moved 5 units left and 2 units up, which means we need to deduct 5 from the x-coordinate and add 2 to the y-coordinate to get the new coordinates. (1, 10).

As a consequence, option A is produced by applying a translation of 5 units to the left and 2 units to the up to LM, yielding the transformed figure L'M'.

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Yes, if a function f(x) is continuous on a closed interval [a,b], then it must attain an absolute minimum and an absolute maximum on the interval [a,b].

The reason for this is that the intermediate value theorem states that if f(x) is continuous on a closed interval [a,b] and y is any value between f(a) and f(b), then there exists a number c in the interval (a,b) such that f(c) = y. This means that for any value y between the minimum and maximum values of f(x) on the interval [a,b], there is at least one x-value in the interval where f(x) is equal to y. Therefore, since f(x) can take on any value between its minimum and maximum values, it must attain both an absolute minimum and an absolute maximum on the interval [a,b].

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Answer:

x = -10.6667

Step-by-step explanation:

Solve for x:

4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)

4.5 (8 - x) = 36 - 4.5 x:

36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)

Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:

(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)

36 + 36 = 72:

72 - 4.5 x = 100 - 2.5 (3 x + 24)

-2.5 (3 x + 24) = -7.5 x - 60:

72 - 4.5 x = -7.5 x - 60 + 100

Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:

72 - 4.5 x = (100 - 60) - 7.5 x

100 - 60 = 40:

72 - 4.5 x = 40 - 7.5 x

Add 7.5 x to both sides:

7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40

7.5 x - 7.5 x = 0:

7.5 x - 4.5 x + 72 = 40

Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:

(-4.5 x + 7.5 x) + 72 = 40

7.5 x - 4.5 x = 3 x:

3 x + 72 = 40

Subtract 72 from both sides:

3 x + (72 - 72) = 40 - 72

72 - 72 = 0:

3 x = 40 - 72

40 - 72 = -32:

3 x = -32

Divide both sides of 3 x = -32 by 3:

(3 x)/3 = (-32)/3

3/3 = 1:

x = (-32)/3

(-32)/3 = -10.6667:

Answer: x = -10.6667

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Answer:

503 should be the answer

Step-by-step explanation:

Answer:

i think its 503

Step-by-step explanation:

242 multiplied by 0.09 = 21.78

21.78 multiplied by 12 = 261.36

added by 242 = 503.36

Answer:

16%

Step-by-step explanation:

4 + 11 + 10 = 25

There are 4 red marbles.

4/25 or 0.16

Find the percentage.

0.16 * 100% = 16%

Best of Luck!

Using it's concept, it is found that the relative frequency of landing on heads is 0.48 and of landing on tails is 0.52.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 50 flips, 24 landed on heads and 26 on tails, hence:

Fh = 24/50 = 0.48.

Ft = 26/50 = 0.52.

The relative frequency of landing on heads is 0.48. The relative frequency of landing on tails is 0.52.

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Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

ANSWER

(f - g)(x) = 2x⁴ - 9x² + 5x - 2

EXPLANATION

To subtract two functions:

We have to replace each function with its expression:

And add like terms:

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Answer:

Typist A can type faster

Step-by-step explanation:

Replace the t in w = 50t with any numbers and graph the points you get

You can see that typist A can type 50 words per minute when typist B can only type 40

ANSWER

S₁₀ = 365

EXPLANATION

The sum of the first n terms of an arithmetic sequence is called the arithmetic series formula, given by,

In this sequence, we can see that a₁ = 5, and the sum we have to find is the sum of the first 10 terms, so n = 10. To find the sum, we have to find the term a₁₀ first.

The nth term of an arithmetic sequence is given by the formula,

Where d is the common difference. To find this formula for this sequence, we have to find the common difference by using any of the given terms. If we use n = 2 - in other words, we write it for a₂,

Solving for d,

Thus, the formula for the nth term of this sequence is,

And the 10th term is,

So, the sum of the first 10 terms is,

Hence, the sum of the first 10 terms of this arithmetic sequence is 365.

Answer:

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

Answer: y-intercept is (0, 1)

Step-by-step explanation:

The measure of angle ∠ACB is 45 degrees

From the question, we have the following parameters that can be used in our computation:

A (-3, 2), B (0, 0), C (2, 3)

The graph is attached

The lines AB and BC are perpendicular lines

This means that

∠B = 90 degrees

Calculate the length AB and BC using

distance = √[(x2 - x1)² + (y2 - y1)²]

So, we have

AB = √[(-3 - 0)² + (2 - 0)²] = √13

BC = √[(0 - 2)² + (0 - 3)²] = √13

The angle C is then calculated as

tan(C) = AB/BC

tan(C) = √13/√13

tan(C) = 1

Take the arctan of both sides

C = 45

Hence, the measure of ∠ACB is 45 degrees

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The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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