y=3(x+3)−4 using the given table of values and following the instructions below

Y=3(x+3)4 Using The Given Table Of Values And Following The Instructions Below

Answers

Answer 1

Answer:

y = 3x + 5

Step-by-step explanation:

y = 3x + 5

y = 3x + 9 - 4

y = 3x + 5

If you need more help, comment on my answer. K? feel free to comment. lol.


Related Questions

what fraction of clockwise revolution does the hour hand of clock turn through when it goes from 3 to 9

Answers

Answer:

1/2

Step-by-step explanation:

On the clock from 3 to 9, the hour hand turns clockwise 1/2 of the revolution

a student needs to determine the density of an irregularly shaped object with a mass of . be sure each of your answer entries has the correct number of significant digits.

Answers

The density of an irregularly shaped object with a mass of 6.05 g is 5.50 g/mL.

We have to determine the density of an irregularly shaped object with a mass of 6.05 g.

The volume of the strangely formed object is the volume it displaces.

The volume displaced is the difference between the starting volume of water and the final volume of water when the object is submerged.

The value can be taken as 3.15 mL because the final volume of water in the diagram is between 3.10 and 3.20 mL.

Volume of object = volume displaced

Volume of object = final volume - initial volume

Volume of object = 3.15 mL - 2.05 mL

Volume of object = 1.10 mL

The following formula can then be used to calculate the object's density:

Density = mass / volume

Density = (6.05 g) / (1.10 mL)

Density = 5.50 g/mL

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The complete question is:

A student needs to determine the density of an irregularly shaped object with a mass of 6.05 g.

Part A: The student fills a 10 mL graduated cylinder with deionized water. Use the image below to determine the volume of water in the graduated cylinder.

Report the answer to the correct number of significant figures. Initial volume of water = 2.05 mL

what is the area under the normal distribution that is between the mean and one standard deviation away from the mean?

Answers

About 68% of the area is covered by one standard deviation above and below the mean, therefore one standard deviation above the mean corresponds to 34% of the area. Thus, we have 84% after adding the 50% below the mean and the 34% above the mean.

A normality assumption with a zero mean and a standard error of one is referred to as the typical normally distributed. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.

Sixty-eight percent of the observations for the normal distribution are within one standard deviation of the mean, ninety-five percent are within two standard deviations of the mean, and ninety-nine percent are within three standard deviations of the mean.

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given a circle with center (-5,3) and radius sqrt 17 what is the slope of the tangent line to the circle that passes through the point (-1,2)

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The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6

To find the slope of the tangent line to a circle, we first need to find the equation of the circle.

Given the center and radius, the equation of a circle can be written as:

(x + 5)^2 + (y - 3)^2 = 17

Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.

We can use the slope-point form of the equation of a line:

y - 2 = m(x + 1)

where m is the slope of the line.

To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).

The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.

Taking the partial derivatives of x and y in the equation of the circle, we get:

2(x + 5)dx + 2(y - 3)dy = 0

Rearranging and solving for the slope:

dy/dx = -(x + 5)/(y - 3)

Evaluating the slope at the point (-1, 2), we get:

dy/dx = -(−1 + 5)/(2 − 3) = 4

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The sum of two numbers is -40. The difference of the two numbers is -12. What are the two numbers?

Answers

Answer:

-26 and -14

Step-by-step explanation:

Let x = one number

Let y = the other number

x + y = -40

x - y = -12   Add the two equations together.

2x     = -52  Divide both sides by 2

x = -26

Substitute -26 for x to find y

x + y = -40

-26 + y = -40    Add 26 to both sides

-26 + 26 + y = -40 + 26

y = -14

Check:

x + y = -40

-26 + -14 = -40

-40 = -40 Checks

x - y = -12

-26 - (-14) = -12

-26 + 14 = -12

-12 = -12 Checks

Assume numbers are x and y
X= -26
Y= -14

Find the area of the trapezoid. Be sure to include the correct unit in tour answer.

Answers

On solving the provided question we can say that Area of the trapezium = 1/2 X (8+18 ) X 8 = 144 ft sq.

What is trapezium?

A trapezoid is a quadrilateral in American and Canadian English that has at least one pair of parallel sides. It is known as Trapezium in the United Kingdom and other English-speaking countries. In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The trapezoid's base is defined as its parallel sides. An identical one set of opposite sides that are parallel to one another define a trapezoid, a convex quadrilateral. When drawn on paper, the two-dimensional trapezoid shape resembles a table. A polygon with four sides and four vertices is referred to as a quadrilateral in Euclidean geometry.

Area of the trapezium = 1/2 X (8+18 ) X 8

A = 26 X 4 = 144 ft sq.

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suppose x is a normally distributed random variable with a mean of 10 and a standard deviation of 5. the probability that x is between 1.88 and 19.86 is g

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The probability that x a random variable is between 1.88 and 19.86 , i.e., P( 1.88< X< 19.86) is equals to the 0.9235 or 92.35%.

Let x be a random variable and it is normally distributed with a mean of 10 and a standard deviation of 5. We have to determine the probability that x is between 1.88 and 19.86 . In other words, X~ N( 10, 5) and P( 1.88< X< 19.86).

Mean, μ = 10

standard deviation, σ = 5

Normal distribution formula ,

Z = (X - μ)/σ

P( 1.88< X< 19.86) = P(( 1.88 - μ)/σ < (X- μ)/σ < ( 19.86 - μ)/σ)

= P((1.88 - 10)/5 < (X- 10)/5 < ( 19.86 - 10)/5)

= P(-8.12/5 < (X- μ)/σ < 9.86/5)

= P( - 1.624 < (X- μ)/σ < 1.972)

= P( - 1.624 < Z< 1.972)

= P( Z> 1.972) - P( Z< - 1.624)

P( 1.88< X< 19.86) = 0.92351

Hence, the required probability is 0.9235 .

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Write if statement that increases pay by 3% if score is greater than 90, otherwise increases pay by 1%.

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The "if statement" to show that  increases pay by 3% if score is greater than 90, otherwise increases pay by 1% ; is written below .

The if statement in that implements the conditions that increases pay by 3% if score is greater than 90, otherwise increases pay by 1% is written as :

⇒ if (score > 90)

⇒  pay *= 1.03;

⇒  else

⇒  pay *=1.01;

In the above mentioned  code, the "score" is a variable that represents the value to be tested, and "pay" is a variable that represents the current pay.

The statement checks that if score is greater than 90.  pay is increased by 3% (multiplying by 1.03). If score is not greater than 90, pay is increased by 1% (multiplying by 1.01).

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a quadrilateral abcd has diagonals that are perpendicular bisectors of one another. which of the following classifications must apply to quadrilateral abcd? i. parallelogram
ii. rhombus iii. square
O I and III only
O I and II only
O I, II, and III
O II and III only

Answers

C) I, II, and III which are parallelogram,rhombus and square. These classifications must apply to quadrilateral ABCD.

ABOUT DIAGONAL

In simple terms the diagonal is an oblique line. Line is one of the mediums in fine art, including diagonal lines. Apart from the diagonal lines, there are also horizontal and vertical lines.

A line is a set of points that are parallel and equal in size and aligned in such a way that a prominent longitudinal dimension has a direction. These dimensions produce a variety of shapes, ranging from long, short, smooth, thick, curved, straight and many more. The line diagonal is an oblique line.

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ACTIVITY 1.13 Indicate the GAAP concepts that relate to the following statements: 1. Land and buildings are shown in the Statement of Financial h R250 000, even though the municipal valuation indicates 2. When merchandise is sold, the selling price and cost price is the same time. 3. The owner of the business wins R1 000 in a competition. This not recorded in the books of the business. 4. Petrol costs and servicing of vehicles recorded "Motor expense Controll​

Answers

The purpose of GAAP standards is to guarantee the reliability, accuracy, and consistency of the financial data presented to investors and regulators.

Where Are Generally Accepted Accounting Principles (GAAP) Used?

Companies prepare their financial statements and other accounting disclosures in accordance with the GAAP, which is a set of procedures and rules.

The Financial Accounting Standards Board (FASB), a separate non-profit organization, is responsible for creating the standards. The objective of GAAP standards is to ensure that the financial data presented to investors and regulators is accurate, dependable, and consistent with other sources of financial data.

The universally accepted methods of capturing and reporting accounting information are combined with authoritative standards (established by policy bodies) to construct GAAP. The goal of GAAP is to make financial information more understandable, reliable, and comparable.

GAAP is crucial because it keeps investors' confidence in the financial system. Without GAAP, investors would be less inclined to believe that the information corporations give to them is accurate because they would have less faith in its veracity.

In the absence of that trust, there might be fewer transactions, which could result in greater transaction costs and a weaker economy. By facilitating "apples to apples" comparisons across different companies, GAAP also aids in the corporate analysis process for investors.

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Given the sequence: 7; 1; 7; 3; 7; 5;...
11.1 Determine the value of T17
11.2 Determine the sum of the sum of the sequence from T9 up to and including T13​

Answers

The sum of the sum of the sequence from T9 up to and including T13​ is 504

How can determine a sequence's sum?

The sum of an arithmetic sequence is calculated using the formula Sn=n2[2a+(n1)d], where n is the total number of elements to be added. A stands for the first term in the series. The interterm constant is denoted by d.

1.  The value of T17

The number series is 7; 1; 7; 3; 7; 5;...

Common deviation (d) = 3 - 1 = 2

A=1 is the first phrase.

Therefore, the nth term is given by t

n =a+(n-1)d

=1 +( 17 -1) 2

=1 +  16 *2

n = 32 +1 = 33

The value of T17 =33.

2. Sn=n2[2a+(n−1)d],

Sn = 13 * 2[2*1+(9−1)2],

26 * 2 + 8 * 2

26 * 18 = 504

The sum of the sum of the sequence from T9 up to and including T13​ is 504

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A high school basketball coach wants to see whether there is a linear relationship between player height, x, and the number of points scored in a game by basketball players in the coach's state, y. The 96 percent confidence interval to estimate the slope of the linear regression line relating player height to points scored in a game is calculated to be ( -.0.432, 1.844 ).
Assume all conditions for inference for the slope of a regression line were met. Based on the confidence interval, which of the following claims is supported by the confidence interval?
Choose matching definition
O We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.
O We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
O It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative.
O We can be 95% confident that wind speed decreases, on average, between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure.

Answers

The answer is C. There is a positive linear relationship between player height and number of points scored for basketball players in the coach's state.

A confidence interval is a range of values that is calculated from the data and is believed to contain the true population parameter with a certain level of confidence, in this case 96%. The slope of the regression line is the average change in y for a one unit change in x, which represents the direction and strength of the relationship between x and y.

The confidence interval for the slope is (−0.432,1.844), which does not include 0, which means that the slope is not equal to 0. If the slope were 0, there would be no relationship between player height and points scored. The fact that the confidence interval is positive means that the slope is positive, which indicates a positive linear relationship between player height and number of points scored.

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pls help !
A study showed that vitamin A oil reduces pain levels in patients with Lyme disease. During each session, the oil was injected into the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.

Another study is being designed to examine whether vitamin A oil also reduces pain in patients suffering from pinched nerves in the cervical region of the back. Two hundred patients aged 20–40 years are subjects in the new study.

Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (5 points)

Part B: If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20–40, would you change the study design? If so, how would you modify your design? If not, why not? (5 points)

Part C: Suppose the data in the following table was collected at the end of the study you described in part A.


Vitamin A Oil Placebo
Reported Pain Reduction 37 21
Total Treated 100 100


Construct 90% confidence intervals for the proportion of pain reduction for each treatment group. Show all work. (5 points)

Part D: What can you conclude about the use of vitamin A oil for patients with pinched nerves in the cervical region of the back? (5 points)

Answers

The solution is, given below.

What is Treatment?

A treatment is something that health care providers do for their patients to control a health problem, lessen its symptoms, or clear it up. Treatments can include medicine, therapy, surgery, or other approaches.

here, we have,

Part A: The appropriate design for the study includes;

Treatment used; Chamomile oil treatment

Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves

Treatment assignment; Treatment should be assigned to patients with pinched nerves

Variables that should be measured; Reduction or relief of pain as reported by the patients

Part B; The study should be administered equally to both male and female as the symptoms can be experienced by both male and female

Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.

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steps to solve slope intercept word problems like step 1: step2:

Answers

According to the problem, if the slope is 3 and the y-intercept is 5, the equation of the line would be y = 3x + 5.

What is the equation ?

The equation is an expression that shows the relationship between different variables. It is typically written with an equals sign (=) and can have constants, variables, and operators such as addition, subtraction, multiplication, and division. An equation can be used to solve for a variable, to show a relationship between different variables, or to identify a pattern. For example, the equation y = 2x + 5 can be used to calculate the value of y for any given value of x. Additionally, equations can be used to show relationships between different variables such as the equation y = ax2 + bx + c, which shows a relationship between y and x, where a, b, and c are constants.

Step 1: Identify the given information in the problem. This should include the slope and the y-intercept.

Step 2: Use the slope-intercept form of a line, y = mx + b, to express the equation of the line in terms of the given information. Here, m is the slope and b is the y-intercept.

For example, if the slope is 3 and the y-intercept is 5, the equation of the line would be y = 3x + 5.

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1/9(-3/5) write in simplest form ​

Answers

The expression 1/9(-3/5) can be written in simplest form as -5/27.

Write in simplest form ​?To simplify this expression, we need to use the rules of division and multiplication of fractions.First, we need to rewrite the expression as a single fraction.To do this, we need to invert the second fraction and multiply it with the first one.This gives us 1/9 x 5/3, which can be simplified to 5/27.Now, we need to simplify this fraction further.We can do this by dividing both the numerator and denominator by their greatest common factor.In this case, the greatest common factor of 5 and 27 is 5. Dividing the numerator and denominator by 5 gives us the answer -5/27.This expression can be further simplified by changing it to a mixed number.To do this, we need to divide the numerator by the denominator and subtract the whole number from the fraction.In this case, 5 divided by 27 gives us 0, which can be subtracted from -5/27 to give us the answer -5/27, which is the simplest form of the expression.

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46+ (-2k) for k = 3, 23, -2

Answers

Answer:

Step-by-step explanation:

for K=3

3.46+(-2K) = 3.46+(-6)= 3.46-6 = 2.54

K=23

3.46+(-2K) = 3.46+(-46)=3.46-46=42.54

k= -2

3.46+(-2K) = 3.46+(4)=7.46

Answer:

For k = 3: 40.

For k = 23: 0.

For k = -2: 50.

Step-by-step explanation:

1. Write the expression.

[tex]46+(-2k)\\k=3[/tex]

2. Substitute "k" by the given values and calculate.

For k = 3:

[tex]46+(-2(3))=\\ \\46+(-6)=\\ \\46-6=\\ \\40[/tex]

For k = 23:

[tex]46+(-2(23))=\\ \\46+(-46)=\\ \\46-46=\\ \\0[/tex]

For k = -2:

[tex]46+(-2(-2))=\\ \\46+(4)=\\\\50[/tex]

3. Conclude.

For k = 3: 40.

For k = 23: 0.

For k = -2: 50.

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Santiago's family took a road trip to Mount Rushmore. Santiago fell asleep 44% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Santiago fell asleep

Answers

Answer:

176 miles

Step-by-step explanation:

Step 1: determine what 44% of 400 miles is

44% of 400= 176

Answer: Santiago fell asleep at 176 miles and they had 224 miles left in their trip.

What is the value of the quantity negative one third cubed all raised to the power of negative 3?

Answers

The value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.

What is an expression?

Expression in math's is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is negative third cubed all raised to the power of negative 3.

The expression can be solved as below:-

E = [ ( -1 / 3 )³ ]⁻³

E = [ (  -1 / 3 ) ] ⁻⁹

E = ( -3 )⁹

E = -19683

Therefore, the value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.

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Read the quotation from Theodore Rhodie, a former Pullman employee. “I do not like to walk up there and hand up my membership in the American Railway Union because when a man asks me to give up my principles, my rights as an American citizen, he might just as well ask for my life.” To which result of the Pullman strike is Theodore Rhodie referring? the loss of money by the Pullman Company the imprisonment of Eugene V. Debs the rehiring of workers who resigned from Debs’s union the increase in anti-union court decisions

Answers

In the quotation, Theodore Rhodie is expressing his resistance to the idea of giving up his membership in the ARU, as doing so would mean giving up his principles and rights as an American citizen.

What is Quotation?

Using someone else's precise words or statements as part of your writing is known as a direct quotation.

Theodore Rhodie, a former Pullman employee, is referring to the imprisonment of Eugene V. Debs in his quotation. Debs was the leader of the American Railway Union (ARU) and was a prominent figure in the Pullman Strike of 1894. The strike resulted in the shutdown of the nation's rail system, causing widespread economic disruption. In response, the federal government intervened, sending in troops to restore order. Debs was arrested and convicted of violating a federal court injunction against the strike, leading to his imprisonment.

In the quotation, Theodore Rhodie is expressing his resistance to the idea of giving up his membership in the ARU, as doing so would mean giving up his principles and rights as an American citizen. This reflects the sentiment of many workers during the Pullman Strike who felt that their rights were being violated and were willing to stand up for their principles, even if it meant facing consequences such as imprisonment.

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Answer:b

Step-by-step explanation:

Figure A is a parallelogram with a base length of 5 units on a coordinate plane. Figure B results from dilating Figure A by a factor of 4 by a factor of 4 and translating 6 units down. What is the base length of Figure B?

Answers

Answer:

20 units

----------------------------

After dilation by a factor of 4 the base length becomes 4 times larger:

5*4 = 20 units

The translation is not affecting dimensions of the figure so the base length of figure B remains as 20 units.

Find the curve of best fit for the data. Round to 2 decimals.

Answers

The curve of best fit is discussed below.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the curve of best fit.

The curve of best fit is the curve the best approximates the trend on a scatter plot.The line of best fit estimates a straight line that minimizes the distance between itself and where observations fall in some data set. The line of best fit is used to show a trend or correlation between the dependent variable and independent variable(s). It can be depicted visually, or as a mathematical expression.

Therefore, the curve of best fit is discussed above.

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prove that under any affine transformation, the ratio of parallel line segments is invariant, but the ratio of non-parallel line segments is not invariant

Answers

The proof of the statement that "any affine transformation, the ratio of parallel line segments is invariant, but the ratio of non-parallel line segments is not invariant" , is explained below .

An Affine Transformation is defined as a mapping between two vector spaces that preserves collinearity and ratios of parallel line segments, but not necessarily ratios of non-parallel line segments.

Which means that if two line segments are parallel in the original space, then their corresponding line segments in the image space will also be parallel and have the same ratio.

But , if the original line segments are not parallel, then their corresponding line segments in the image space will generally not be parallel and their ratio may change.

Therefore , it is proved that the ratio of parallel line segments is invariant under affine transformations, while the ratio of non-parallel line segments is not.

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Find the equation of the exponential function represented by the table below: x y 0 3 1 9 2 27 3 81

Answers

[tex]y=3^{1+x}[/tex] is the  equation of the exponential function represented by the table.

What is Equation?

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

The given table is below

x     y

0    3

1     9

2    27

3    81

Each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3ˣ

If x = 0, do we get 3,

No, therefore we must modify the exponent:

[tex]y=3^{1+x}[/tex]

Hence, [tex]y=3^{1+x}[/tex] is the  equation of the exponential function represented by the table.

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The perimeter of a square must be greater than 182 inches but less than 198 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: The perimeter of a square is given by P=4s, where s represents the length of a side).


Express your answer in interval notation. Use decimal form for numerical values.

Answers

The range of possible side lengths that satisfy these conditions is,

⇒ { s | 45.5 < s < 49.5 }

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The perimeter of a square must be greater than 182 inches but less than 198 inches.

Now, We know that;

The perimeter of a square is given by,

⇒ P = 4s

Where, 's' represents the length of a side.

Here, The perimeter of a square must be greater than 182 inches but less than 198 inches.

Hence, We get;

⇒ 182 < P < 198

Since, P = 4s

⇒ 182 < 4s < 198

⇒ 182/4 < 4s/4 < 198/4

⇒ 45.5 < s < 49.5

Thus, The range of possible side lengths that satisfy these conditions is,

⇒ { s | 45.5 < s < 49.5 }

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A student is researching if people like to study at the city library. The student stands by the door of the city library and surveys people walking in.

Answers

The students use simple random sampling.

Meaning of Random Sampling

In this case, every member of the population participating in the sampling has the same opportunity to become a member of the sample. Many people think that random sampling is an ideal sample to be used in a study. In fact, random sampling can be used as a basis for generalizing a conclusion.

Random sampling is selecting samples in such a way that all combinations of a unit have the same chance of being selected as a sample.

In order to make it easier what is meant by "members of the population have the same opportunity", a case example will be given. For example, in a population there are 100 members, but only 50 are needed to be members of the sample, so each member of the population has a 100/50 probability of being able to participate in sampling to become a member of the sample.

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[tex]3x^{2} +10x-8=0\\[/tex]

Answers

X= 2/3 and x= -4 just youse the quadratic equation

Plot the image of point of B under a dilation about point P with a scale factor of 1/2

Answers

Point B is a point on a two-dimensional plane.

What is scale factor?

Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.

When plotting the image of point B under a dilation about point P with a scale factor of 1/2, it is necessary to first plot the given point P, which serves as the center of the dilation. The next step is to draw a line from point B to point P, which will be the radius of the dilation. After this, draw a circle with a radius of half the length of the original line and centered at point P. The image of point B will be the point on the circle directly opposite of the original point B. This point is the dilated image of point B.

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Select the correct answer.
The vertex of a parabola is at (8,-1), and its y-intercept is -17. Which function represents this parabola?



Answers

Step-by-step explanation:

simplify the ffratio of 3kota 1to7and 11to4

Answer:

Step-by-step explanation:

f(x)= -1/4(x-8)^2 - 1

What is the length of each leg in the right triangle shown?
45
7sqrt2
45°

Answers

Answer:

Below

Step-by-step explanation:

It is an isosceles right triangle ( the two legs are equal length).

Use Pythagorean Theorem

(7 sqrt2)^2  = L^2 + L^2

98 = 2 L^2

49 = L^2

L = 7

Please need help with5,6,and7

Answers

According to the exterior angle theorem, the exterior angle that results from stretching a triangle's side is equal to the sum of the dimensions of the triangle's two opposed interior angles.

What is theorem of exterior angles?

According to the exterior angle theorem, the exterior angle that results from stretching a triangle side is equal to the sum of the dimensions of the triangle's two opposed interior angles. Three internal angles in a triangle or polygon always add up to 180 degrees. This theorem is applied to each of the outer angles, which total six.

Here,

Given :

With the help of the triangle's well-known features, we can validate the exterior angle theorem.

Think about an ABC.

The total of the three angles is 180 degrees (angle sum property of a triangle) ——- Equation 1: (A+B)/180 ——- Example 2 (rewriting equation 1)

e = 180 - c

——- Equivalent 3 (linear pair of angles)

Equation 3 may be solved for by substituting the value of c.

e = 180 - [180 - (a + b)]

e = 180 - 180 + (a + b)

e = a + b.

=> m∠A = m∠G

=> m∠DMG > m∠A

So , its proven that:

=> m∠DMG > m∠G

and

=> A-D-M

So,

AD = DM

=> AD <AM

To learn more about exterior angle theorem refer to:

brainly.com/question/17307144

#SPJ1

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