What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1)}

Answer:

A) x = -4

Step-by-step explanation:

\(3x-2\left(6-x\right)=7x+2\left(5+x\right)-6\\\\\mathrm{Expand\:}3x-2\left(6-x\right):\quad 5x-12\\\\\mathrm{Expand\:}7x+2\left(5+x\right)-6:\quad 9x+4\\5x-12=9x+4\\\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\5x-12+12=9x+4+12\\\\Simplify\\5x=9x+16\\\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\5x-9x=9x+16-9x\\\\Simplify\\-4x=16\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{16}{-4}\\\\Simplify\\x=-4\)

There are several types of statistical evaluations that help to sort out the true significance of clinical research findings. These include effect size analyses, significance testing, confidence intervals, and meta-analysis.

Statistical evaluations are methods that provide essential information to guide clinical decision-making, treatment, and future research. There are many different types of statistical evaluations used to sort out the true significance of clinical research findings. Types of statistical evaluations that help to sort out the true significance of clinical research findings:

Effect size analyses: These analyses provide an indication of the strength and size of the effect that an intervention had on the outcome. This is typically represented as a standardized measure, such as Cohen's d or Hedges' g, which allows for comparison across studies.

Significance testing: Significance testing involves comparing the observed data to what would be expected under the null hypothesis (e.g., no effect). If the observed data are unlikely to have occurred by chance, then the null hypothesis is rejected and the results are considered statistically significant.

Confidence intervals: A confidence interval is a range of values within which the true population value is estimated to lie with a certain degree of certainty. This provides a measure of the precision of the estimated effect size.

Meta-analysis: Meta-analysis is a statistical method used to synthesize the results of multiple studies to provide a more precise estimate of the effect size. It is often used to answer questions that cannot be answered by a single study, such as the effectiveness of an intervention in different populations or settings.

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Complete Question:

What is the difference between clinical significance and statistical significance? How might these concepts be applied to program evaluation? Give an example of an instance in which you might be torn between two types of significance in the reported results of research. What are some other types of statistical evaluations that help to sort out the true significance of clinical research findings? Provide at least two scholarly references for your discussion and justifications.

The amount of discount on the jacket is Birr 144.

We can use the following formula :

Discount amount = Original price - Discounted price

We must determine the original pricing of the jacket given that it has a discounted price of Birr 576 and the discount is 20%.

Assume "x" stands in for the original price.

The information provided indicates that the discounted price is 80% (100% - 20%) of the original cost:

Discounted price = 80% of the original price

576 = 0.8x

To find the original price, we can divide both sides of the equation by 0.8:

x = 576 / 0.8

x = 720

Now that we have the original price, we can calculate the amount of discount:

Discount amount = Original price - Discounted price

Discount amount = 720 - 576

Discount amount = Birr 144

Therefore, the amount of discount on the jacket is Birr 144.

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Answer:

5p-z-20

Step-by-step explanation:

Hope this helps!

Answer: the square root of twenty-four would be plotted (A) between 4 and 5, but closer to 5 on a number line.

Step-by-step explanation:

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

the same applies to all other basic operations (like addition, multiplication, ...).

so,

(f-g)(x) = 4x² - 3 - (x + 1) = 4x² - 3 - x - 1 = 4x² - x - 4

Answer:

It's the option on the bottom right corner.

Step-by-step explanation:

5,000,000,000 has 9 zeros. so look at the option that has 9 zeros.

The ball would bounce to a height of 0.92 feet at the 7th bounce

The given parameters are

Initial height = 3.75 feet

Rate of bounce = 79%

The height of the ball after n-th bounce is represented as

H(n) = A * rⁿ⁻¹

Where

In this case, we have

n = 7

So, we have

H(7) = 3.75 * (79%)⁷⁻¹

Evaluate the difference

H(7) = 3.75 * (79%)⁶

Evaluate the product

H(7) = 0.92

Hence, the height of the 7th bounce of the ball is 0.92 feet

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Answer:

the answer is 20 apples.

Step-by-step explanation:

15/100 is simplified down to 3/20, so therefore you have three apples out of 20. 20 is your total amount of apples.

Answer:-7,0,1.5

Step-by-step explanation: they are lower then number three

This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

Answer:

1.3301

Step-by-step explanation:

-----

By simplifying the given expression we will get that:

18*√8 = 36*√2

Here we start with:

18*√8

We can rewrite 18 as:

18 = √324

Replacing that in our expression we get:

√324*√8 = √(324*8) = √(2,592)

Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).

If we divide 2,592 by 2, we get:

2592/2 = 1296

Then we can rewrite:

√2592 = √(2*1296) = √2*√1296 = √2*36

So this is the expression we wanted:

18*√8 = 36*√2

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Answer:

\(36\sqrt{2}\)

Step-by-step explanation:

The largest square factor under the radical is 4. This gives us the factorization \(\sqrt{8} =\sqrt{4} * \sqrt{2}\).

Thus,

\(18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})\)

        \(= 18*2\sqrt{2}\)

        \(= 36\sqrt{2}\)

Hope this helps!

a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

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The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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A right angled triangle with height = 7, base = 11, by using the Pythagorean theorem, we can calculate the hypotenuse is approximately 13. Therefore, the missing side, x = 13.

In a right angled triangle, using the Pythagorean theorem: sum of the squares of the base and height is equal to the square of the hypotenuse, we can find the hypotenuse x.

\(x^2 = 7^2 + 11^2\)

\(x^2 = 49 + 121\)

\(x^2 = 170\)

Taking the square root of both sides, we get:

x ≈ 13.0384

Rounding this to the nearest tenth, we get:

x ≈ 13.0

Therefore, the length of x is approximately 13.0 units (rounded to the nearest tenth).

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The Pigeonhole Principle (PHP) is a basic counting principle in combinatorics that can be described in terms of boxes and pigeons. Suppose there are more pigeons than there are boxes. Then, at the very least, one box must contain more than one pigeon.

This is a straightforward statement, but it has a wide range of applications.In a discrete mathematics class of 25 students, if each student is either a sophomore, a junior, or a senior, then it is true that there must be at least one class with at least nine students of the same class. In other words, suppose that no class has more than eight students. As a result, there can only be at most 24 students in the class (8 students per class × 3 classes). This is an impossibility, however, because there are 25 students.

As a result, it must be true that at least one class has at least nine students of the same class.This is known as the Pigeonhole Formula. In other words, if there are n holes and m pigeons, then there must be at least ⌈ m/n ⌉ pigeons in at least one hole. Thus, it is true that there must be at least one class with at least nine students of the same class.

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The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.

Inequality is a statement that two or more mathematical expressions are unequal.

Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).

The cost price of shrimp per pound = $8.50

The total spending budget = $35

Let the number of pounds of shrimp Luna can buy = x

8.50x < 35

x = 4

Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.

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The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

gyxgdygdygadyqgygyuzfryur

Step-by-step explanation:

fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

Answer:

-1

Step-by-step explanation:

Range are the output functions f(x) for input functions x

Since the minimum input functions is -2, we are to find the output that gives the lowest value

Given

F(x) = -2x + 5

Whn x = -2

F(-2) = 2(-2)+5

F(-2) = -4+5

F(-2) = 1

When x = 3

F(3) = -2(3)+5

F(3) = -6+5

F(3) = -1

This shows that the minimum value function is -1

It is not a right triangle.

What is the right triangle?

A right triangle is one in which one of the inner angles is 90°. The hypotenuse is the longest side of the right triangle and also the side opposite the right angle, whereas the height and base are the two arms of the right angle.

Here, we have

Given: a triangle has sides with lengths of 35 centimeters, 78 centimeters, and 82 cm.

We have to find is it a right triangle.

To find the right triangle we apply Pythagoras' theorem and we get

82² = 35² + 78²

6724 = 1225 + 6084

6724 ≠ 7309

Their sides are not equal so it is not a right angle triangle.

Hence, it is not a right triangle.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

- 9pq

Step-by-step explanation:

8pq + (- 17pq)

8pq - 17pq

- 9pq

Answer:

F(t)= -4t+68

Thats all I can say :)

The equation showing the relationship between the Farenheit temperature (F) and time (t) is F = 4t + 68

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let F represent the Fahrenheit temperature in t hours.

The temperature is falling outside at a steady rate of 4 degrees Fahrenheit every hour. Hence, m = 4.

The temperature starts at 68 Fahrenheit, hence b = 68. The equation becomes:

F = 4t + 68

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On solving the provided question, we can say that - Area enclosed by the square and the circle= 400 - 314 = 86 ft sq

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

Side of the square =20feet

Therefore,

Radius of the inscribed circle= 20/2 = 10 feet

Area of square=20 X 20 = 400 feet sq.

Area of circle=\(\pi * r^{2} \\\pi * 10*10\\3.14*100\\314 ft sq\)

Area enclosed by the square and the circle= 400 - 314

                                                                           = 86 ft sq

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Answer:

  true

Step-by-step explanation:

You want to know if weight and self-esteem have a negative correlation if an increase in weight causes self-esteem to go down (the slope is negative).

The slope of the line of best fit has the same sign as the correlation coefficient. The magnitude of the correlation coefficient is the ratio of the covariance to the product of the standard deviations of the variables.

It is true that the weight and self-esteem have negative correlation.

The number of 8-character passwords that consist of 8 different letters that are in alphabetical order such that each letter can be uppercase or lowercase is 26C8 x 2⁸, which is approximately equal to 5.58 x 10¹².

To arrive at this answer, we first need to choose 8 letters out of 26, which can be done in 26C8 ways. Then, we need to assign each of these 8 letters to either an uppercase or lowercase letter, giving us 2 possibilities for each letter.

Therefore, there are 2⁸ possible ways to assign cases to the letters. Multiplying these two values together gives us the total number of possible passwords.

Note that we assume that the letters must be in alphabetical order, which greatly reduces the number of possible passwords. If we did not require alphabetical order, the number of possible passwords would be much larger.

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Answer:

u/187 = 189

Step-by-step explanation:

Needs more characters, but that's all there is to it.