1. Which of the following expressions are equivalent? Select all that apply. Use mathematics to show why they are equivalent.
A. 2 (x+4)
B. 8+2x
C. 2x+4
D. 3 (x+4)-(4+2)
E. x +4

when possible, the best way to establish that an observed association is the result of a cause and effect relation is by means of well designed experiment.

In an experiment, a researcher manipulates one or more variables, while holding all other variables constant. By noting how the manipulated variables affect a response variable, the researcher can test whether a causal relationship exists between the manipulated variables and the response variable. Characteristics of a Good Experimental Design:

Provides unbiased estimates of the factor effects and associated uncertainties Enables the experimenter to detect important differences Includes the plan for analysis and reporting of the results Gives results that are easy to interpret Permits conclusions that have wide validity Shows the direction of better results Is as simple as possible Basic Principles of  experimental design:

The basic principles of experimental design are

(i) Randomization

(ii) Replication

(iii) Local Control

Randomization:

Randomization is the cornerstone underlying the use of statistical methods in experimental designs.  Randomization is the random process of assigning treatments to the experimental units. The random process implies that every possible allotment of treatments has the same probability.

Replication:

By replication, we mean that repetition of the basic experiments. For example, If we need to compare the grain yield of two varieties of wheat then each variety is applied to more than one experimental units.

Local Control

it has been observed that all extraneous source of variation is not removed by randomization and replication, i.e. unable to control the extraneous source of variation. Thus we need to a refinement in the experimental technique.

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Step-by-step explanation:

A. Each point in the image has the same x-coordinate as the corresponding point

in the figure.

D. Each point in the image moves the same distance and direction from the

figure.

These two statements are true about a figure and an image created by a translation. When a figure is translated, every point in the figure is moved the same distance and direction. This means that each point in the image has moved the same way as its corresponding point in the figure. Additionally, since a translation only involves moving a figure without changing its shape or size, the image and figure are the same shape and size, but just in different positions. As such, statement B and C are not true for figures and images created by translation.

To graph the image G'R'A'M', we need to add 10 to each x-coordinate and subtract 2 from each y-coordinate:

G': (-9+10, -9-2) = (1,-11)

R': (-8+10, -6-2) = (2,-8)

A': (-4+10, -6-2) = (6,-8)

M': (-5+10, -9-2) = (5,-11)

Graphing these points and connecting them gives us parallelogram G'R'A'M'.

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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The value of k that makes the matrix have one real eigenvalue of multiplicity 2 is K = -4.

The eigenvalues of a 2x2 matrix can be found by solving the characteristic equation: det(A - λI) = 0

Expanding the determinant, we get:

(1-λ)(-7-λ) - K = λ^2 + 6λ - 7 - K = 0

Using the fact that the matrix has one real eigenvalue of multiplicity 2, we know that the discriminant of the characteristic equation must be 0:

b^2 - 4ac = 0

where a = 1, b = 6, and c = -7 - K. Solving for K, we get:

6^2 - 4(1)(-7 - K) = 0

36 + 28 + 4K = 0

K = -16/4

K = -4

Therefore, the value of k that makes the matrix have one real eigenvalue of multiplicity 2 is K = -4.

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The color code for the relationship between the angles in the boxes are as follows;

Corresponding angles are angles formed by two lines and a common transversal located at similar or matching corners

Alternate interior angles are angles located at alternate corners and in the interior part of two lines that have a common transversal.

Alternate exterior angles are angles located at alternate corners and in the exterior part of two lines that have a common transversal.

When two lines have a common transversal, consecutive interior angles are angles formed in the interior part of the lines and on the same of the transversal.

Therefore;

‹2 and ‹13 → Alternate interior angles (Light Blue)

‹4 and ‹11 → Consecutive interior angles (Light Green)

‹1 and ‹16 → Alternate exterior angles (yellow)

‹8 and ‹11 → Alternate interior angles (Light Blue)

‹3 and ‹5 → Consecutive interior angles (Light Green)

‹14 and ‹16 → Corresponding angles (pink)

‹1 and ‹3 → Corresponding angles (pink)

‹5 and ‹10 → Alternate exterior angles (yellow)

‹3 and ‹15 → No relationship (Uncolored)

‹4 and ‹5 → Alternate interior angles (Light Blue)

‹6 and ‹13 → Consecutive interior angles (Light Green)

‹4 and ‹13 → No relationship (Uncolored)

‹2 and ‹7 → Alternate exterior angles (yellow)

‹4 and ‹12 → Corresponding angles (pink)

‹3 and ‹16 → Alternate exterior angles (yellow)

‹12 and ‹14 → Consecutive interior angles (Light Green)

‹7 and ‹15 → Corresponding angles (pink)

‹6 and ‹16 → No relationship (Uncolored)

‹11 and ‹14 → Alternate interior angles (Light Blue)

‹1 and ‹3 → Corresponding angles (pink)

‹1 and ‹11 → No relationship (Uncolored)

‹8 and ‹15 → Consecutive interior angles (Light Green)

‹7 and ‹13 → No relationship (Uncolored)

‹1 and ‹14 → Alternate exterior angles (pink)

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The integral ∫[0 to 1] x² dx evaluates to 1/3.

To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.

To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.

Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².

To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.

In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.

Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer:

True

Step-by-step explanation:

Like terms like 4x-3x the x term. is a like term

6-4x can be subtracted because they aren't the same.

High Hopes^^

Barry-

Answer:

i believe this false but im not positive

Answer:

Step-by-step explanation:

Answer:

y = 1/3 ≈ 0.3

hope this helps! :)

Answer:

20v2−40v+20

Step-by-step explanation:

=(4v+−4)(5v+−5)

=(4v)(5v)+(4v)(−5)+(−4)(5v)+(−4)(−5)

=20v^2−20v−20v+20

= 20v^2-40v+20

You can easily do this by using the FOIL method.

F - first -  in this case, 4v and 5v

O - Outside - in this case, 4v and -5

I - Inside - in this case, -4 and 5v

L - Last - In this case, -4 and -5

Then you find the like terms and add them together and then you have your answer which is also in standard form.

The amount of all angles within every quadrilateral adds up to a cumulative 360°.

All triangles exhibit angles that total 180°, and since the diagonal is shared between both of these triangles, we shall add up their angles only once when totaling the quadrilateral.

Consequently, the sum of all four angles in the quadrilateral is twice the angle degree of one triangle plus 180° (for the connecting diagonal), which equates to:

(180°) + 180° = 360°

Therefore, the amount of all angles within every quadrilateral adds up to a cumulative 360°.

This justification holds true for all types of quadrilaterals, for instance the one illustrated in the representation at the right, due to it being divided into two parts through the extention of a diagonal.

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There are 1260 different strings that can be made from 5 of the 7 letters in the word "meeting."

To determine the number of unique subsets of 5 letters from the word "meeting," we can use the combination formula:

\(n_Cr = n! / r!(n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

\(7C5 = 7! / 5!(7-5)! = 21\)

Therefore, there are 21 unique subsets of 5 letters that can be formed from the letters in the word "meeting."

To determine the number of different strings that can be made from 5 of those 7 letters, we can use the permutation formula:

\(n_Pr = n! / (n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

7P5 = 7! / (7-5)!

= 7! / 2!

= 2520 / 2

= 1260

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Answer:

Susie reaches the store first being ahead by 0.06 hours.

Step-by-step explanation:

20 miles going 45 miles/hour.

20 miles / (45 miles / hour) = 20 miles hours / 45 miles =

= 20 hours / 45 = 4/9 hours = 0.44 hours

25 miles going 50 miles/hour.

25 miles / (50 miles / hour) = 25 miles hours / 50 miles =

= 25 hours / 50 = 1/2 hours = 0.5 hours

So Susie needs less time (= arrives first).

the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours

as additional practice :

0.06 hours is 60 × 0.06 minutes.

60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.

The standard format for electronic document submission in U.S. federal courts is PDF (Portable Document Format).

PDF, or Portable Document Format, is a widely used file format that allows for the electronic representation of documents. It is designed to be platform-independent, meaning it can be viewed and accessed on different devices and operating systems while retaining its original formatting. In the context of U.S. federal courts, PDF has become the standard format for attorneys to submit documents electronically.

The adoption of PDF as the standard format for electronic document submission in U.S. federal courts brings several advantages. PDF files are generally compact in size, making them easier to transmit and store. They also preserve the interest, fonts, and graphics of the original document, ensuring that the submitted materials are accurately represented.

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Chad's car achieved an average rate of 10 miles per gallon.

The unit rate of miles per gallon can be calculated by dividing the total miles driven by the amount of gas consumed.

In this case, Chad drove 20 miles and used 2 gallons of gas.

To find the unit rate, we divide the miles by the gallons:

20 miles / 2 gallons = 10 miles per gallon.

Therefore, the unit rate of miles per gallon for Chad's car is 10 miles per gallon.

This means that for every gallon of gas Chad's car consumes, it is able to travel a distance of 10 miles.

It's important to note that the unit rate can vary depending on factors such as driving conditions, speed, and the type of car, but in this scenario, Chad's car achieved an average rate of 10 miles per gallon.

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Answer:

In the picture

Step-by-step explanation:

it's an acute triangle

more information in the picture

The correct answer is 1. b. Random

2. d. designing the research project

3. a. the failure of respondents to return the questionnaire

4. c. market

5. a. market segments

The answers to the multiple-choice questions are as follows:

1. Which sampling design gives every member of the population an equal chance of appearing in the sample?

  - b. Random

2. The first step in the marketing research process is:

  - d. designing the research project

3. Compared to a telephone or personal survey, the major disadvantage of a mail survey is:

  - a. the failure of respondents to return the questionnaire

4. Any group of people who, as individuals or as organizations, have needs for products in a product class and have the ability, willingness, and authority to buy such products is a(n):

  - c. market

5. Individuals, groups, or organizations with one or more similar characteristics that cause them to have similar product needs are classified as:

  - a. market segments

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Answer:

i need to know the value of "x"..

Step-by-step explanation:

...

Answer: 4 cm

You take the surface area formula and substitute “x” for the width. Then it becomes a simple algebra problem.

The orthogonal projection of [1, -1] onto the line through [-1, 3] and the origin is [0.4, -1.2].

To compute the orthogonal projection of a vector onto a line, we need to find the projection vector that lies on the line and is perpendicular to the vector we want to project.

Let's start by finding a vector that lies on the line through [-1, 3] and the origin. We can obtain this vector by subtracting the origin from any point on the line. Let's choose the point [-1, 3] as our reference point.

The direction vector of the line is the difference between any two points on the line. Since we already have the reference point [-1, 3], we can take the negative of this point to get the direction vector. So, the direction vector is [1, -3].

Next, we need to find the projection vector that lies on the line and is perpendicular to the vector [1, -1] that we want to project.

To find this projection vector, we can use the formula: proj_v(u) = ((u · v) / (v · v)) * v, where u is the vector we want to project and v is the direction vector of the line.

Let's calculate the projection vector:

u = [1, -1]

v = [1, -3]

Dot product of u and v: (1 * 1) + (-1 * -3) = 1 + 3 = 4

Dot product of v and v: (1 * 1) + (-3 * -3) = 1 + 9 = 10

proj_v(u) = ((4) / (10)) * [1, -3] = [0.4, -1.2]

Therefore, the orthogonal projection of [1, -1] onto the line through [-1, 3] and the origin is [0.4, -1.2].

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we have that

P+0.50=0.8554

so

P=0.3554

using the tables of z-score

For P=0.3554

the value of z is

Answer:

I believe the answer is 8

Step-by-step explanation:

Answer:

2.25

If it is a two digit bill, you move the decimal once on the total bill, and one for the 15%. 15 --> 1.5. 15% -->1.5. Then you multiply both of them

Hi

X +0.15X = 15

1.15X = 15

X =  15/ 1.15

X = 13.04

Answer:

i think the answer is 20√5x^3y^5

Answer:

area = Pi r^2 = 3.14(6^2) = 113.04

Step-by-step explanation:

Brainliest? plz

Answer:

4 by 2 beacase highyrs cim