IM IN NEED OF HELP .!!Antonio is at Best Buy and all TV's are 30% off. He finds a 75" OLED that he
wants, the price is $1500. What is the discount amount and how much did he
pay for the TV? Write and equation

Answers

Answer 1

Answer:

$450. The amount Antonio bought the tv for was $450.

Step-by-step explanation:

If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450

Formula:

(30x1500)/100


Related Questions

Which of the following statements is true about the slope of the least squares regression line when the correlation coefficient is negative? a. The slope is negative. b. The slope is positive. C. The slope is zero. d. Nothing can be said about the slope based on the given information

Answers

The statement "a. The slope is negative" is true about the slope of the least squares regression line when the correlation coefficient is negative.

When the correlation coefficient is negative, it indicates an inverse relationship between the two variables. In a linear regression, the slope of the line represents the direction and magnitude of the relationship between the independent and dependent variables. A negative correlation coefficient indicates that as the independent variable increases, the dependent variable decreases. Therefore, the slope of the least squares regression line will also be negative.

The slope of the regression line is calculated using the formula: slope = correlation coefficient * (standard deviation of y / standard deviation of x). Since the correlation coefficient is negative and the standard deviation of x and y are positive values, multiplying a negative correlation coefficient by positive standard deviations will result in a negative slope. Hence, option "a. The slope is negative" is the correct statement.

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If you have $20 would you be able to buy something that costs 20.25

Answers

Answer:

Umm, no

Step-by-step explanation:

Answer:

No, that is definitely impossible.

Step-by-step explanation:

The only way you would be able to afford something that costs more than what you have, is by applying a coupon or getting it on sale. If you're online shopping, I recommend using something such as Honey, the extension.

-3x + 6 = 2x - 24 how do i do this its not high school btw its 8th grade

Answers

Answer:

x = 6

Step-by-step explanation:

Ok first you need to get to combine like terms, so first subtract six from the left so it cancels out the left side and what you do to one side you have to do it to the other so after you do that you get

-3x = 2x -30

then you subtract 2x from the right side and 2x on the left side getting

-5x = -30

your  goal is to get  by itself so what you can do is divide -5 on both sides getting

x = 6

if you are wondering why its a positive and not a negative its because a negative divided or multiply by a negative makes a positive.

Answer:

x=6

Step-by-step explanation:

-3x+6=2x-24

6=5x-24

30=5x divide both sides by 5

x=6

[-1+(2²-5×6)]÷(-5+2)+1

Answers

Answer is 10

Step-by-step explanation:

Which measuring cups do you use to measure out 1 3/4 cups if you don't have a 3/4 cup measuring cup?

1 cup, 1 cup
1 cup, 1/2 cup
1/4 cup, 1/3 cup, 1/2 cup
1 cup, 1/2 cup, 1/4 cup

Answers

Answer:

d

Step-by-step explanation:

1 = 1 cup

1/2 can be 2/4

2/4+1/4=3/4

1+3/4 = 1 3/4

The answer is D one cup plus’s one half cup plus one fourth is 1 3/4

I need help with this

Write it as a whole number, fraction or improper faction only

I need help with thisWrite it as a whole number, fraction or improper faction only

Answers

Answer:

3/4

Step-by-step explanation:

Waterway Industries reported income taxes of $418,100,000 on its 2022 income statement and income taxes payable of $313,010,000 at December 31, 2022, and $596,640,000 at December 31, 2022. What amount of cash payments were made for income taxes during 2022

Answers

Waterway Industries made cash payments of $124,130,000 for income taxes during 2022.

To determine the cash payments made for income taxes during 2022, we need to consider the change in income taxes payable from the beginning to the end of the year. The change in income taxes payable represents the net increase or decrease in the amount owed to tax authorities. In this case, the income taxes payable at the beginning of the year (December 31, 2021) was $313,010,000, and the income taxes payable at the end of the year (December 31, 2022) was $596,640,000. Therefore, the change in income taxes payable is calculated as follows:

Change in income taxes payable = Income taxes payable at December 31, 2022 - Income taxes payable at December 31, 2021

= $596,640,000 - $313,010,000

= $283,630,000

The change in income taxes payable represents the amount of income taxes that were paid during 2022. Thus, Waterway Industries made cash payments of $283,630,000 for income taxes during the year.

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Suppose 75% of smartphones sold at a retail outlet are purchased with warranty. A random sample of 25 smartphones is selected. Assuming independence, use the binomial formula or software (recommended) to answer the following questions. 1. What is the probability that, of the 25 smartphones selected: (Report probabilities accurate to at least 4 decimal places.) a) exactly 18 are purchased with warranty? b) exactly 8 are not purchased with warranty? c) all of them are purchased with warranty? d) at most 15 are purchased with warranty? e) at least 14 are purchased with warranty? f) more than half are purchased with warranty? 9) at least 14 but no more than 23 are purchased with warranty? h) less than 12 or more than 19 are purchased with warranty? 2. Calculate the mean and standard deviation of smartphones that are purchased with warranty. Round to 2 decimal places. Mean = Standard Deviation = 3. If you expect to find exactly 72 smartphones that are purchased with warranty, how large a sample should you select? Report the minimum sample size required as an integer.

Answers

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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in a group of 150 students 20 are freshmen 30 are sophomores 49 are juniors and 51 are senior if a student is randomly selected what is the probability that we select a sophomore before a freshmen

Answers

In a group of 150 students, 20 are freshmen 30 are sophomores 49 are juniors and 51 are seniors if a student is randomly selected the probability that we select a sophomore before freshmen is 2.69%.

So the given data we get from the question is as follows,

  Total number of students, N = 150

  A number of freshmen students, F = 20

  The number of sophomore students, S = 30

  Number of junior students, J = 49

  Number of senior students, R = 51

              We need to find the probability of selecting a sophomore student before a freshman student. The probability that a sophomore student is selected first,

             P(S) = Number of sophomore students/Total number of students

                    = S/N

   Probability that a freshman student is selected after a sophomore student,

          P(F|S) = Number of freshman students left/Total number of students left

                    = F/N-1

    Where N-1 is used because one student has already been selected.

     The probability that a sophomore student is selected first and then a freshman student is selected,

       P(S∩F) = P(S) × P(F|S)

                   = S/N × F/N-1

      Therefore, the probability of selecting a sophomore student before a freshman student is:

       P(S∩F) = S/N × F/N-1P(S∩F)

                   = 30/150 × 20/149P(S∩

                   = 0.0269 or 2.69%

      Therefore, the probability of selecting a sophomore student before a freshman student is 0.0269 or 2.69%.

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help poor mi............​

help poor mi............

Answers

The chosen topic is not meant for use with this type of problem. Try the examples below.

\(cot (3x),x=\frac{2\pi }{3}\)

\(cot ( \frac{x}{2}, x=\frac{\pi }{2}\)

\(cos (x), x = \frac{x}{2}\)

A hall 110 feet in length is to be designed as a whispering gallery If the foci are located 30 feet from the center, how high will the ceiling be at the center? The ceiling will be about feet high (Type an integer or decimal rounded to one decimal place as needed)

Answers

The height of the ceiling at the center of the hall will be approximately 19.9 feet.

Why will be a hall 19.9 feet in length?

To design a hall 110 feet in length as a whispering gallery, the height of the ceiling at the center should be 19.9 feet. This is calculated as follows:

Given that the hall has a length of 110 feet and is designed as a whispering gallery.

Also, the foci are located 30 feet from the center. We are to determine the height of the ceiling at the center.

To solve the problem, we will use the formula for a whispering gallery which is given as:

1 / b2 = 1 / a2 - 1 / c2where a, b, and c are the semi-axes of the ellipse and are related by the equation:

a2 = b2 + c2Using the given information, we can find the value of a as follows:

a = 55 feet (half the length of the hall) and

c = 30 feet (distance of the foci from the center of the hall)

Substituting these values in the equation for a above, we have:

b2 = a2 - c2= 55² - 30²= 3025 - 900= 2125 feet²Therefore, b = √2125 = 46.1

feetNow we can calculate the height of the ceiling at the center using the formula for the height of an ellipse at its center, which is given as:

height = b2 / a= (46.1)2 / 55= 19.9 feet (rounded to one decimal place)

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what is the equation of a line that is parallel to y=35x−7 and passes through (15, 8)? enter your answer in the box.

Answers

Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

What are the 3 forms of linear equations?

Answers

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept. Using the information given we can plug in the numbers to get the correct equation. This looks like y=-3x+4.

Slope-intercept form is helpful because we can use it to find coordinate points and graphs. By graphing the y-intercept and then using the slope to count out points, you can find the function. Additionally, by plugging in values for x or y, you can find coordinate pairs.

The standard form is Ax + By = C

Where, if at all possible, A, B, and C are integers, and A is non-negative.  Our linear equation in standard form is:

x - 5y = -12  or 1x - 5y = -12

where A = 1, B = -5, and C = -12  

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The equation cos (35 degree) equals StartFraction a Over 25 EndFraction can be used to find the length of Line segment B C.

Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 35 degrees. The length of C B is a and the length of hypotenuse A B is 25 inches.

What is the length of Line segment B C? Round to the nearest tenth.

14.3 in.
20.5 in.
21.3 in.
22.6 in.

Answers

The answer would be 20.5 in. also you’re welcomeeee

Answer:

B.

Step-by-step explanation:

Find the angle of xyz

Give your answer to 1 decimal place.

Find the angle of xyzGive your answer to 1 decimal place.

Answers

Answer:

The value of sine of angle XYZ is equal to 0.96.

Step-by-step explanation:

Given that,

Base, b = 4 cm

Height, h = 13 cm

We need to find the sinY.

Using Pythagoras theorem,

YZ² = XY² + XZ²

YZ² = 4² + 13²

YZ = 13.60 cm

Using trigonometry,

\(\sin Y=\dfrac{13}{13.60}\\\\\sin Y=0.96\)

So, the value of sine of angle XYZ is equal to 0.96.

the diagram shows the price paid by two groups of people visiting a fair. assume that each adult pays the same price and each child pays the same price

the diagram shows the price paid by two groups of people visiting a fair. assume that each adult pays

Answers

Answer:

Let, price paid by adults be x and children be y.

then,

5x+4y=78----(1)

3x+6y=63----(2)

Solving both we get

x=12,y=4.5

So adult pays £12 and child pays £4.5

What is... 6x-(3x)+x-6?

Answers

Answer:

2(2x-3)

Step-by-step explanation:

The major assumption in factor analysis (but not PCA)

Answers

The major assumption in factor analysis (but not PCA) is that the observed variables are caused by a smaller number of underlying, unobserved (latent) variables, which are called factors.

Factor analysis and principal component analysis (PCA) are both techniques used for data reduction and dimensionality reduction. However, they differ in their assumptions and goals.

In factor analysis, the focus is on identifying the underlying latent variables (called factors) that explain the observed correlations among a set of variables. The major assumption in factor analysis is that the observed variables are caused by a smaller number of underlying factors. These factors cannot be directly measured, but are inferred from patterns of correlations among the observed variables. The goal of factor analysis is to extract these factors and to estimate how much each factor contributes to each observed variable.

In contrast, PCA is a technique that focuses on finding a linear combination of the original variables that explain the maximum amount of variance in the data. The major assumption in PCA is that the observed variables are not caused by any underlying factors, but are simply linearly related to each other. The goal of PCA is to find a set of orthogonal (uncorrelated) principal components that capture the maximum amount of variance in the data.

Therefore, the major assumption in factor analysis (but not PCA) is that there are underlying latent variables (factors) that cause the observed correlations among the variables.

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pls help, will gove brainiest to whoever answers all

pls help, will gove brainiest to whoever answers all
pls help, will gove brainiest to whoever answers all
pls help, will gove brainiest to whoever answers all
pls help, will gove brainiest to whoever answers all
pls help, will gove brainiest to whoever answers all

Answers

the answer is 60 for the second question i am sorry i do not know the first

Please help me with this one

Please help me with this one

Answers

Answer:

  7 m/s²

Step-by-step explanation:

Since force and acceleration are proportional, multiplying the force by a factor of 14/6 = 7/3 will multiply the acceleration by that same factor:

  acceleration = (3 m/s²)(7/3) = 7 m/s²

annual starting salaries for college graduates with degrees in business administration are generally expected to be between $42,000 and $55,400. assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. (round your answers up to the nearest whole number.) what is the planning value for the population standard deviation? (a) how large a sample should be taken if the desired margin of error is $500? (b) how large a sample should be taken if the desired margin of error is $200? (c) how large a sample should be taken if the desired margin of error is $100? (d) would you recommend trying to obtain the $100 margin of error? explain.

Answers

The planning value for the population standard deviation is estimated to be $3,350, and sample sizes of approximately 46, 566, and 2,262 would be needed to achieve desired margins of error of $500, $200, and $100, respectively.

(a) Desired margin of error = $500

The formula for the sample size required to estimate the population mean with a desired margin of error is:

n = (Z * σ / E)²

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)

σ = population standard deviation

E = desired margin of error

Since we don't have the actual population standard deviation, we can estimate it using the planning value.

Range of expected salaries = $55,400 - $42,000 = $13,400

Planning value for standard deviation = Range / 4 = $13,400 / 4 = $3,350

Substituting the values into the formula:

n = (1.96 * $3,350 / $500)² ≈ 45.96

Since we can't have a fraction of a sample, we need to round up to the nearest whole number.

Therefore, the sample size needed for a desired margin of error of $500 is 46.

(b) Desired margin of error = $200

Using the same formula:

n = (1.96 * $3,350 / $200)² ≈ 565.44

Rounding up to the nearest whole number, the sample size needed for a desired margin of error of $200 is 566.

(c) Desired margin of error = $100

Using the same formula:

n = (1.96 * $3,350 / $100)² ≈ 2,261.76

Rounding up to the nearest whole number, the sample size needed for a desired margin of error of $100 is 2,262.

(d) Would you recommend trying to obtain the $100 margin of error? Explain.

Obtaining a margin of error as low as $100 would require a sample size of 2,262. While this larger sample size may provide a more precise estimate, it also increases the cost and time required for data collection and analysis. Therefore, the decision to obtain such a small margin of error should be based on the practicality and resources available. It is important to consider the trade-off between the desired level of precision and the associated costs and efforts.

Therefore, the planning value for the population standard deviation is estimated to be $3,350, and sample sizes of approximately 46, 566, and 2,262 would be needed to achieve desired margins of error of $500, $200, and $100, respectively.

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Question Progress
Calculate the area of this trapezium.
6 cm
Homework Progress
165/240 Marks
9 cm
15 cm

Answers

The calculated area of the trapezium is 72 square cm

Calculating the area of the trapezium.

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

The trapezium with the following dimensions

Parallel sides = 9 cm and 15 cmHeight = 6 cm

The area of the trapezium is calculated as

Area = 1/2 * Sum of Parallel sides * Height

substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * (9 + 15) * 6

Evaluate

Area = 72

Hence, the area of the trapezium is 72 square cm

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Problem 1. Determine the convergence domain for the Laplace transform and its correspondent in time domain X (s) = ((s+3)e-10s ) /(s² + b²) (s² + a²) (s+4a) a=4; b=24

Answers

The complex conjugate poles at s = ± j24 and s = ± j4, the convergence domain is Re(s) < 0

In this case, we have the Laplace transform expression:

X(s) = ((s + 3) \(e ^{ (-10s)\))/((s ²+ b²)(s²+ a²)(s + 4a))

Given that a = 4 and b = 24.

The poles are the values of 's' that make the denominator equal to zero. Let's calculate the poles:

Denominator = (s² +b²)(s²+a²)(s+4a)

          = (s² + 576)(s ² + 16)(s + 16)

Setting each factor equal to zero, we find the poles:

s² + 576 = 0

s² + 16² = 0

For the first equation, ss² + 576 = 0, we have complex conjugate solutions:

s = ± j24

For the second equation, s² + 16 = 0, we have complex conjugate solutions:

s = ± j4

For the third equation, s + 16 = 0, we have a real solution:

s = -16

So, the convergence domain for the Laplace transform is the set of values of 's' for which the Laplace transform integral converges. In this case, since we have complex conjugate poles at s = ± j24 and s = ± j4, the convergence domain is Re(s) < 0. That means the real part of 's' must be negative for convergence.

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How many like terms are in the expression? 14x- 14y +7 - x + z + 2x
A.0
B.2
C.3
D.5​

Answers

Answer:

5

Step-by-step explanation:

14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)

Hi Need Help on on this! Thank you so much! Will give a thumbs up!:)

The incremental fuel costs for two generating units 4 and B of a power plant are given by the following relations:

dFA/dPA=0.06 PA+ 11.4 dFy/dPa=0.07 Pa + 10 where P is the power in MW and F is the fuel cost in rupees per hour.

(a) Find the economic loading of the two units when the total load to be supplied by the power station is 150 MW.

(b) Find the net increase in fuel cost per hour if the load is equally shared by the two units.

Answers

(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.

To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:

x + y = 150 (total load)

The total fuel cost C is given by:

C = F4(x) + Fb(y)

where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:

F4(x) = 0.06x^2 + 11.4x

Fb(y) = 0.07y^2 + 10y

Substituting x = 150 - y, we get:

C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y

Expanding and simplifying, we get:

C(y) = 0.013y^2 - 3.6y + 1710

To minimize C(y), we take its derivative with respect to y and set it equal to zero:

dC/dy = 0.026y - 3.6 = 0

y = 138.46 MW

Substituting y back into x = 150 - y, we get:

x = 11.54 MW

(b) The negative value that is  -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.

To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:

F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5

Fb(75) = 0.07(75)^2 + 10(75) = 1312.5

Therefore, the total fuel cost is:

C = F4(75) + Fb(75) = 2595

If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:

F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25

Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25

Therefore, the total fuel cost is:

C' = F4(37.5) + Fb(37.5) = 1297.5

The net increase in fuel cost per hour is:

ΔC = C' - C = 1297.5 - 2595 = -1297.5

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Consider the function f(x) =2x-6 find f(2)

Answers

Step-by-step explanation:

✧ \( \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : \)

f ( x ) = 2x - 6

✧ \( \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: \)

value of f ( 2 )

✧ \( \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : \)

❀ \( \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}\)

⟼ \( \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}\)

♨ \( \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ \( \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}\) !! ♕

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Plant A Plant B WeeksHeight (inches) WeeksHeight (inches) 06 04 28 27 Part A To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable and which is the dependent? Explain your answer.

Answers

Answer:

Weeks is the independent variable and height is the dependent variable.

Step-by-step explanation:

The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.

What is an
equation of the line that passes through the points (6, 0) and (3, 4)?

Answers

The equation that passes (6,0) and (3,4) is -3y=4(x-6)

What are the different forms of straight lines ?

The following information about the straight line is required if we wish to obtain the equation for it.

1. The y-intercept and slope

2. Two-point and slope

3. Two things.

4. the intersection of the x- and y-axes

the straight line that passes through (6,0) and (3,4).

The equation can be expressed in a point-slope form which is ,

y/x-6=4/-3

∵ -3y=4(x-6)

Hence,

The equation that passes (6,0) and (3,4) is -3y=4(x-6)

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12(x-2) +3x= 1/2(x+6)+2

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

  12*(x-2)+3*x-((1)/(2)*(x+6)+2)=0

Simplify   1/2

                   1  

 ((12•(x-2))+3x)-((—•(x+6))+2)  = 0  

                   2

                                       6

((12 • (x - 2)) +  3x) -  (——————— +  2)  = 0  

                                         2      

Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

2=2/1= 2 . 2 / 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(X+6) + 2 . 2 / 2 = X+10 / 2

                                   (x + 10)

 ((12 • (x - 2)) +  3x) -  ————————  = 0  

                                       2

                                 (x + 10)

 (12 • (x - 2) +  3x) -  ————————  = 0  

                                   2      

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

                          15x - 24                        (15x - 24) • 2

    15x - 24 =  ————————  =  ——————————————

                            1                                       2      

           

Pull out like factors :

  15x - 24  =   3 • (5x - 8)

Adding up the two equivalent fractions

3 • (5x-8) • 2 - ((x+10))/2 = 29x - 58/2

Pull out like factors :

  29x - 58  =   29 • (x - 2)

29 • (x - 2)/2 =0

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

   29•(x-2)

 ———————— • 2 = 0 • 2

      2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  29  •  (x-2)  = 0

Equation which are never true

 Solve :    29   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a single variable equation

Solve  :    x-2 = 0  

Add  2  to both sides of the equation :  

                     x = 2

PLease Mark Brainliest!

Answer: x=2

explanation: just right

Which of the following set of hypotheses is used to test if the mean of the first population is smaller than the mean of the second population, using matched-paired sampling?
H0: µ1 – µ2 ≤ 0, HA: µ1 – µ2 > 0
H0: µ1 – µ2 ≥ 0, HA: µ1 – µ2 < 0
H0: µD ≤ 0, HA: µD > 0
H0: µD ≥ 0,HA: µD < 0

Answers

The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Explain the term matched-paired sampling?

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

In a paired exam, two individuals are given fictional identities and credentials that are equivalent in all significant ways.Each member of such a sample is paired with a matching member in every sample by comparison to characteristics other than those that are now the subject of the research. This results in a pair or set of matched samples.By "removing" the potential impacts of other variables, matching aims to produce better estimates of differences.The participants in matched samples (also known as matched pairs, paired samples, or dependent samples) were paired up so that they share all characteristics except the one that is being studied.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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