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The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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If Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,

Part 1

If Keilantra waits on 17 tables, the she will earn $278

Part 2

If Keilantra waits on t tables, the she will earn 40+14t

The guaranteed wage she earn = $40

The amount she earn for each table she waits as tip = $14

Part 1

The number of table she waits on = 17 tables

Then the amount she earn in a day = The guaranteed wage she earn +The amount she earn for each table she waits as tip × The number of table she waits on

= 40+14×17

= 40+238

= $278

Part 2

The number of table she waits on = t tables

Then the amount she earn in a day = 40+14t

Hence, if Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,

Part 1

If Keilantra waits on 17 tables, the she will earn $278

Part 2

If Keilantra waits on t tables, the she will earn 40+14t

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Answer:

1. 160

2. 18

Step-by-step explanation:

Replace variables 4(-5)^2-(-5)(3)+5(3)^2

simplify 100+15+45

= 160

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\(\displaystyle P\left(\text{Red}\right)=\frac{6}{11}\)

Since the marble is replaced, the probability of getting another red is: \(\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}\)

The probability of getting a blue marble first is:

\(\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}\)

And the probability of getting another blue is:

\(\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}\)

So, the probability of getting two of the same color is:

\(\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%\)

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

Step-by-step explanation:

Arithmetic expressions can be used as control expressions in programming languages when a control structure, such as an if statement or a loop, expects a condition to determine the flow of execution

Arithmetic expressions can be used as control expressions in certain programming languages or contexts where a control structure expects a conditional expression to determine the flow of execution.

Typically, control expressions are used in decision-making structures such as if statements, while loops, for loops, and switch statements.

In most programming languages, the control expression must evaluate to a boolean value (true or false) in order to determine the execution path. However, some languages allow arithmetic expressions to be used in control structures, considering a value of zero as false and any non-zero value as true.

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Answer:

The distance from Durham to Fuquay-Varina is 30 miles.

Step-by-step explanation:

Given that the cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle, and the distance from Raleigh to Durham is 24 miles, while the distance from Raleigh to Fuquay-Varina is 18 miles, to determine what is the distance from Durham to Fuquay-Varina, the following calculation must be performed, applying the Pythagorean theorem:

18 ^ 2 + 24 ^ 2 = X ^ 2

324 + 576 = X ^ 2

√ 900 = X

30 = X

Therefore, the distance from Durham to Fuquay-Varina is 30 miles.

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination​ (IRD) phase of systems analysis except beta testing.

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing. The IRD phase of the systems analysis process is used to determine information requirements for the system being developed. The IRD process identifies what information is needed to support business functions and operations.

The activities that are carried out during the IRD phase of the systems analysis process include: Reviews of paper-based forms and reports Interviews with system users Observation of system use Meetings with the development team Therefore, the answer is option C. Beta testing is not a part of the IRD phase of systems analysis.

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Answer: can buy (2x³ - 3x² + 4x - 6) reams

\(6x^{4} -17x^{3}+24x^{2} -34x+24\\\\\\=6x^{4}-8x^{3} -9x^{3} +12x^{2} +12x^{2} -16x-18x+24\\\\=2x^{3}(3x-4) -3x^{2} (3x-4)+4x(3x-4)-6(3x-4)\\\\\\=(2x^{3}-3x^{2} +4x-6)(3x-4)\)

Step-by-step explanation:

The number of reams of bondpaper that can be bought from \(6x^4-17x^3+24x^2-34x+24\) pesos are \(2x^3-3x^2+4x-6\).

Cost of a ream of bondpaper is \((3x-4)\) pesos.

The number of reams that can be bought from \(6x^4-17x^3+24x^2-34x+24\) pesos is calculated by following the long division method as-

\(\dfrac{6x^4-17x^3+24x^2-34x+24}{3x-4}=2x^3-3x^2+4x-6\)

So,

The number of reams that can be bought from \(6x^4-17x^3+24x^2-34x+24\) pesos are \(2x^3-3x^2+4x-6\).

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John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

\(y= -\frac{2}{5}x+20\\\)

The slope is, \(-\frac{2}{5}\) and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

\(y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20\)

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

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Answer:

46%

Step-by-step explanation:

count the rows and the squares and its right

The given statement to prove is: A ∧ B, A → C, B → D ⊢ C ∧ D.TFL stands for Truth-Functional Logic, which is a formal system that allows us to make deductions and prove the validity of logical arguments.

The steps to prove the given statement using basic TFL are as follows:1. Assume the premises to be true. This is called the assumption step. A ∧ B, A → C, B → D.2. Apply Modus Ponens to the first two premises. That is, infer C from A → C and A and infer D from B → D and B.3. Conjoin the two inferences to get C ∧ D.

4. The statement C ∧ D is the conclusion of the proof, which follows from the premises A ∧ B, A → C, and B → D. Therefore, the statement A ∧ B, A → C, B → D ⊢ C ∧ D is true, which means that the proof is valid in basic TFL. Symbolically, the proof can be represented as follows:

Premises: A ∧ B, A → C, B → DConclusion: C ∧ DProof:1. A ∧ B, A → C, B → D (assumption)2. A → C (premise)3. A ∧ B (premise)4. A (simplification of 3)5. C (modus ponens on 2 and 4)6. B → D (premise)7. A ∧ B (premise)8. B (simplification of 7)9. D (modus ponens on 6 and 8)10. C ∧ D (conjunction of 5 and 9).

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Answer:

79 degrees.

Step-by-step explanation:

There are 7 total temperatures, 68, 82, 81, 82, 74, 75, and 91 degrees. To find the mean, we add all of the temperatures together and divide it by the number of tempuratures-- 7.

68+82+81+82+74+75+91 = 553.

553 / 7 = 79.

Hope this helps!

both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.

In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.

Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

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Answer:

0=0 one solution minus three equal to zero no solution

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

Answer:

roughly 3%

Step-by-step explanation:

Answer:

about 34.9%

Step-by-step explanation:

I could be wrong on this, but by multiplying his profit per month by 12, and his electricity cost by 12, then you get his yearly profit and cost of electricity. Then, you divide the profit by electricity and wa la you get 34.9%.

PLZ mark me brainliest!!!! :)))))

According to using the arithmetic operations the total yards of metal is needed =  4(1/4).

The study and application of numbers in all other branches of mathematics is the focus of the branch of mathematics known as arithmetic operations. In essence, it consists of addition, subtraction, multiplication, and division operations.

There are several laws that control the order in which you do operations in math and algebra. The three that receive the most focus are the distributive, associative, and commutative laws. Over time, people have come to realize that the order of the numbers is irrelevant when adding or multiplying.

First pieces of metal =  1 *(1/6)

                                  = 7/6

Second pieces of metal = 3/12

Adding both the pieces :

=7/6 + 3/12

= (14 + 3)12

= 17/12.

now,

multiply that by 3.

We get:

= (17/12)*3

= 17/4

= 4(1/4)

According to using the arithmetic operations the total yards of metal is needed = = 4(1/4).

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The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.

what is regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

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When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.

The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)

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In conclusion, using a sample of 75 microbrews produced in the United States, we have evidence that the average ABV of all craft beers is different from a standard serving of beer at 5% ABV. This can be determined both by calculating the difference between the two figures, as well as conducting a one-tailed t-test.

Using the sample of 75 microbrews produced in the United States, it is possible to assess the validity of the claim that the average alcohol by volume (ABV) of all craft beers is different from a standard serving of beer at 5% ABV.

First, we must calculate the mean ABV of the 75 microbrews. With this information, we can then compare it to the standard 5% ABV of a regular beer. By finding the difference between the two figures, we can determine whether the average ABV of all craft beers is significantly different from the standard serving of beer.

The mean ABV of the 75 microbrews was calculated to be 5.84%. This is 0.84% higher than the 5% standard ABV of regular beer. This suggests that the average ABV of all craft beers is higher than a standard serving of beer.

Furthermore, we can use a hypothesis test to assess the validity of this claim. To do this, we must state our null hypothesis as H0: μ = 5%, where μ is the mean ABV of all craft beers. Our alternate hypothesis will be\(H1: μ ≠ 5%.\)

Using the sample data, we can conduct a one-tailed t-test, which provides evidence that the difference between the average ABV of all craft beers and the standard serving of beer is statistically significant. The p-value associated with the t-test was 0.0054, which is lower than our significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that the average ABV of all craft beers is significantly different from a standard serving of beer at 5% ABV.
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Using proportions, it is found that they won 14 games after the first 16 games.

Hence, the rule of three is:

2 losses - 3 wins

12 losses - x wins

Applying cross multiplication:

\(2x = 3(12)\)

\(x = \frac{36}{2}\)

\(x = 18\)

18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.

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Answer:

the statements that must be true are;

c. segments AC and CD have the same length

d. the triangle BCE is isosceles.

Explanation:

Given the diagram in the attached image;

Point C is the center of the two circles.

The lines BC and CE are congruent and equal to the radius of the bigger circle.

So, the triangle BCE is an isosceles triangle.

Also, the line AC and CD are congruent and equal to the radius of the smaller circle.

So, line segments AC and CD have the same length

and the triangle ACD is an isosceles triangle.

Therefore, the statements that must be true are;

c. segments AC and CD have the same length

d. the triangle BCE is isosceles.

The correct answer is (a) ∃x∀y(B(x,y))(b) ∀x∀y(B(x,y) → ¬A(x,y))(c) ∃x∃y(B(x,y) ∧ A(x,y))(d) ∃x∃y((x ≠ y) ∧ A(x,y) ∧ ∀z((z ≠ x) ∧ (z ≠ y) → ¬A(x,z)))

(a) ∃x∀y(B(x,y))

There exists at least one chair x that is paired with every table y.

(b) ∀x∀y(B(x,y) → ¬A(x,y))

For all chairs x and tables y, if they form a pair, then they are not in the same color.

(c) ∃x∃y(B(x,y) ∧ A(x,y))

There exists at least one chair-table pair where the chair x and table y are in the same color.

(d) ∃x∃y((x ≠ y) ∧ A(x,y) ∧ ∀z((z ≠ x) ∧ (z ≠ y) → ¬A(x,z)))

There exist exactly two chairs x and y that are in the same color, and for any other chair z that is not x or y, it is not in the same color as x.

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Answer:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Answer:

C. He found the midpoint of a segment.

Step-by-step explanation:

The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.

John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.

Thus the appropriate answer to the question is option C.

Home prices are probably skewed to the right and not symmetric. So the correct option would be A.

This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.

Reporting the mean would give the impression that the​ "typical" home price is higher than it is.

they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.

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The probability that the mean of the sample would differ from the population mean by less than 36 points is 0.0316

To calculate the probability that the mean of the sample would differ from the population mean by less than 36 points, we need to use the Central Limit Theorem.

The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution.

Given:

Standard deviation (σ) = 421 points

Mean (μ) = 1728 points

Sample size (n) = 309 tests

To calculate the probability, we need to find the z-score associated with a difference of 36 points and then find the corresponding probability using the standard normal distribution table or a statistical calculator.

The formula for the z-score is:

z = (x - μ) / (σ / √n)

Plugging in the values:

z = (36 - 0) / (421 / √309)

Calculating the z-score:

z = 36 / (421 / √309)

z ≈ 2.1604

Now, we need to find the probability associated with this z-score. Looking up the z-score of 2.1604 in the standard normal distribution table, we find that the probability is approximately 0.9842.

However, we need to consider both tails of the distribution because we're looking for a difference in either direction (less than 36 points or greater than -36 points). Therefore, we need to find the area in both tails.

Since the standard normal distribution is symmetric, we can calculate the area in one tail and multiply it by 2 to get the total probability.

Area in one tail = 1 - 0.9842

Area in one tail ≈ 0.0158

Total probability = 2 * 0.0158

Total probability ≈ 0.0316

Rounding the answer to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 36 points is approximately 0.0316.

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The present value of a nation's net external wealth represents the current monetary value of a country's foreign assets, minus its foreign liabilities.

This includes financial assets such as stocks, bonds, and foreign currency reserves, as well as physical assets like real estate or infrastructure owned by a nation's residents in other countries. It also accounts for any foreign debt that the nation owes.
Net external wealth is an essential indicator of a country's financial stability and global economic position. A positive net external wealth indicates that the country's foreign assets exceed its liabilities, suggesting a strong financial standing. Conversely, a negative net external wealth implies that the country has more debt than assets, which may signal financial vulnerability.
In summary, the present value of a nation's net external wealth is a critical measure of its financial health, determined by the difference between its foreign assets and foreign liabilities.

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