which of the following is a difference between panel and pooled cross-sectional data? group of answer choices a panel data set consists of data on different cross-sectional units over a given period of time while a pooled data set consists of data on the same cross-sectional units over a given period of time. a panel data set consists of data on the same cross-sectional units over a given period of time while a pooled data set consists of data on different cross-sectional units over a given period of time a panel data consists of data on a single variable measured at a given point in time while a pooled data set consists of data on the same cross-sectional units over a given period of time. a panel data set consists of data on a single variable measured at a given point in time while a pooled data set consists of data on more than one variable at a given point in time.

Answers

Answer 1

From the following, a panel data set consists of data on the same cross-sectional units over a given period of time while a pooled data set consists of data on different cross-sectional units over a given period of time is the difference between panel and pooled cross-sectional data.

Panel data refers to samples of the same cross-sectional units observed at multiple points in time.

For example we will follow the same set of households X, Y and Z, for each time period we collect data i.e. in 1990 and we will also interview the same households in 1995.

Pooled data occur when we have a “time series of cross sections,” but the observations in each cross section do not necessarily refer to the same unit.

For example we will take household income data on households X, Y and Z, in 1990. And then we will take the same income data on households G, F and A in 1995. Although we are interested in the same data, we are taking different samples (using different households) in different time periods.

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Related Questions

PLEASE LOOK AT IMAGINE BELOW

Answers

Answer: D

Step-by-step explanation:

2. In rectangle HOME, HM and OE are diagonals that intersect at P.

Write at least 6 unique statements about HOME and justify your statements with definitions, postulates or theorems

Answers

1. It should be noted that HD = EM and HE = OM. In this case, the opposite sides are equal in the rectangle.

2. It should be noted that EHO = HOM = OME = MEH = 90°. In this case, all angles are equal to 90°.

What are postulate?

Postulates are assertions that, in the absence of evidence, are taken to be true. Postulates have two functions: they define undefined terms and act as a foundation for the proof of subsequent propositions.

A line segment is determined by two points. A line segment may be extended along a line indefinitely. The other information is attached.

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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Betty is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $51 for the meal, plus $2 per pound for the lobster she picks. At the second restaurant, Betty would pay $3 per pound for the lobster, in addition to $15 for the meal. Betty realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Betty pay for her dinner? What is the weight?


Dinner would cost $ __ at either restaurant if Betty's lobster weighed __ pounds.

Answers

Dinner would cost $123 at either restaurant if Betty's lobster weighed 36 pounds.

How to define a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope m represents the rate of change.The intercept b represents the value of y when x = 0.

In the context of this problem, the slope and the intercept are defined as follows:

Slope: cost of each pound of lobster.Intercept: cost of the meal.

Hence the functions for each restaurant are given as follows:

y1(x) = 51 + 2x.y2(x) = 15 + 3x.

The costs are the same when:

y1(x) = y2(x)

51 + 2x = 15 + 3x

x = 36.

The cost is of:

y = 15 + 3 x 36

y = $123.

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Algebra please help!

Answers

Answer:

(-x+2)(2x+1) — first option

Step-by-step explanation:

The rectangles represent an x, red means negative and yellow is positive.

The squares represent a unit (the number 1).

The diagram attached below demonstrates how this works.

Basically the top row of this tile equation is (-x + 2)

And the column is (2x+1).

Expanding this makes -2x²+3x+2

i need help with rhombi

Answers

The unknown sides of the figure are

< KNL = 89.85 degrees

< KJL = 50 degrees

< JKM = 40 degrees

< JML = 80 degrees

How to find the unknown sides

A rhombus has it's interior angles equal to 360 degrees and the opposites and angels are equal

hence angle MLK = MJK = 100 degrees

< JML = < JKL = say x

2x + 2(100) = 360

2x = 360 - 200

2x = 160

x = 80

< MJL + < KJL = MJK adjacent angles

50 + < KJL = 100

< KJL = 50 degrees

The sides of a rhombus are equal

JM = KL =  15.6

ML = JK = 15.6

Given that NK = 12 and NL = 10, using cosine rule we solve for < KNL

cos < KNL = (15.6² - 12² - 10²) / -2 * 12 * 10

cos < KNL = 1/375

< KNL = arc cos (1/375)

< KNL = 89.85

< JKM + < JKL +  <JNK = 180 sum of angles on a triangle

<JNK = 180 - 89.85 = 90.15

< JKM + 50 + 90.15 = 180

< JKM = 180 - 50 - 90.15

< JKM = 39.85 approximately 40

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I need help solving this assignment. 1
6
g+3=4–
1
3
g

Answers

The solution of the equation 16g + 3 = 4 - 13g is g = 1/29

An equation is a statement that two expressions are equal. In other words, it's a mathematical sentence that says that the value on the left side of the equation is equal to the value on the right side.

In your problem, you have the equation:

16g + 3 = 4 - 13g

To solve this equation, the goal is to isolate the variable "g" on one side of the equation, so we can find its value. To do that, we need to use some algebraic techniques.

First, we can simplify the equation by combining like terms. We can add 13g to both sides of the equation to get:

16g + 13g + 3 = 4

Now we can combine the like terms on the left side of the equation:

29g + 3 = 4

Next, we want to isolate the variable "g" on one side of the equation. To do that, we can subtract 3 from both sides of the equation:

29g = 1

Finally, we can solve for "g" by dividing both sides of the equation by 29:

g = 1/29

So the solution to the equation is g = 1/29.

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Complete Question:

I need help solving this assignment.

Solve the equations 16g+3=4–13g

106-5(22-2+5 so does anyone know the anwer+

Answers

2,525

Subtract 5 from 106 (101), then solve parentheses (25), then multiply the 2 numbers. Equaling 2525

ABC is a reflection of ABC prime Which best describes the reflection?
Areflection over the line x-2
Areflection over the line y-3
Areflection over the line x-3
B
Areflection over the y-axis

Answers

A statement which best describes the reflection include the following: C. a reflection over the line x = 3.

What is a reflection?

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure such as a triangle, by producing a flipped, but mirror image of the geometric figure.

Based on the graph of triangle ABC and triangle ΔA’B’C’, we can logically deduce the following coordinates after a reflection over the line x = 3:

A = (-2, 2)   → A' = (8,2)

B = (0, 4)    → B' = (6, 4)

C = (2,2)     → C' = (4, 2)

Therefore, the two triangles are identical (similar) because they are reflections of each other. Also, the distance between the point C and point C' is 2 units, therefore, with a line that is parallel to the y-axis and lies at point x = 3, as shown in the image attached below.

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Complete Question:

ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?

A coordinate plane showing triangles A B C and A prime B prime C prime. The coordinates of the first figure are A negative 2 comma 2, B zero comma 4, and C 2 comma 2. The coordinates of the second figure are A prime 8 comma 2, B prime 6 comma 4, and C prime 4 comma 2.

a.)A reflection over the line x = 2

b.)A reflection over the line y = 3

c.)A reflection over the line x = 3

d.)A reflection over the y-axis

Answer:

The correct answer is:

You can map ABC to A'B'C' by translating it 6 units left and reflecting it across the x-axis, which is a series of rigid motions.

Explanation:

In ABC, the coordinates are:

A(1, -3)

B(5, 3)

C(4, -1).

In A'B'C', the coordinates are:

A'(-5, 3)

B'(-1, -3)

C'(-2, 1)

Each point is mapped to its image:

A(1, -3)→A'(-5, 3)

B(5, 3)→B'(-1, -3)

C(4, -1)→C'(-2, 1

Comparing the x-coordinates in the pre-image and image, we notice that the image has an x-coordinate that is 6 less than that of the pre-image:

1-6 = -5

5-6 = -1

4-6 = -2

This means that the figure must be translated 6 units left; that is the only way to have this change on the pre-image to form the image.

Comparing the y-coordinates of the pre-image with those of the image, we notice that they are negated:

-(-3) = 3

-(3) = -3

-(-1) = 1

This means the pre-image was reflected across the x-axis; this is the only way to negate the y-coordinate and not change the x-coordinate.

These are rigid motions because they do not change the shape or size, they simply move it and change its orientation.

Step-by-step explanation:

Hope this will help u

Yuki Says that 43 is a 2 digit odd number that is composite is she correct explain

Answers

No. The statement given by Yuki that 43 is a 2 digit odd number that is composite is not correct.

A composite number is a positive integer greater than 1 that has more than two positive divisors. In other words, a composite number is a number that can be divided by more than just 1 and itself. For example, 4 is a composite number because it can be divided by 1, 2, and 4.

On the other hand, a prime number is a positive integer greater than 1 that has exactly two positive divisors, 1 and itself. For example, 5 is a prime number because it can be divided only by 1 and 5.

Now, let's consider the number 43. 43 is a two-digit odd number, which means it has two digits and is not divisible by 2. However, 43 is a prime number, which means it has exactly two positive divisors, 1 and 43. Therefore, 43 is not a composite number.

To further verify this, we can check the divisors of 43. The divisors of 43 are 1 and 43, because 43 is not divisible by any other positive integer. Therefore, we can conclude that 43 is a prime number and not a composite number.

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Please answer ASAP What is the value of x? Enter your answer, as a decimal, in the box. Enter the numerical value only.

Answers

In the similar triangle, x = 67.5 ft

What are similar triangles?

Similar triangles are triangles in which the ratio of their sides are equal.

How to find the value of x?

Given the similar triangles, ΔMNP and ΔMAB

By the ratio of similar triangles, we have that

MP/MN = MB/MA

We observe that MN = MA + AN

So, MA = MN - AN

So, MP/MN = MB/MA

MP/MN = MB/(MN - AN)

Given that

MP = 97.5 FT, MN = 71.5 FT, AN = 22 FT and MB = x

We have that

MP/MN = x/(MN - AN)

Making x subject of the formula, we have that

x = (MN - AN)MP/MN

So, substituting the values of the variables into the equation, we have that

x = (MN - AN)MP/MN

x = (71.5 ft - 22 ft)97.5 ft/71.5 ft

x = 49.5 ft × 97.5 ft/71.5 ft

x = 4826.25 ft²/71.5 ft

x = 67.5 ft

So, the value of x = 67.5 ft

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solve graphically: 3x + y=15 ; 3x-4y=0

Answers

Answer:

To solve the system of equations graphically, you can plot the two lines on a coordinate plane and find the point where they intersect, which represents the solution to the system.

First, let's start by rewriting the equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For the first equation:

3x + y = 15

y = -3x + 15

For the second equation:

3x - 4y = 0

y = (3/4)x

Next, we can plot these two lines on a coordinate plane by using any two points on each line and connecting them with a straight line.

Once the lines are plotted, we can find the point where they intersect, which represents the solution to the system. In this case, the solution is (2, 9), meaning that at x = 2 and y = 9, both equations are satisfied.

So, the solution to the system of equations is (2, 9), which means that the two lines intersect at the point (2, 9).

CAN SOMEONE HELP FAST!!

In a certain city, E street, W street, C street, and D street are parallel streets that intersect K street and M street. How long is K street between C street and D street?

Answers

Answer:

The required measure of Street K between Street C and D is 337.5 ft.

Step-by-step explanation:

have a nice day.

I need help with this one?

Answers

Rectangle A is similar to Rectangle B. The solution has been obtained by using concept of similar quadrilaterals.

What are similar quadrilaterals?

When all three matching angles are the same (the fourth angle automatically becomes the same because the internal angle sum equals 360 degrees) and two neighboring sides have the same ratio, two quadrilaterals are said to be similar.

We are given four rectangles with different dimensions.

First considering Rectangle A and Rectangle B

The dimensions of Rectangle A are 2 × 3 and that of Rectangle B are

8 × 12.

For the triangles to be similar, ratio of sides must be equal.

In this, the ratio is equal as the dimensions of Rectangle B are 4 times the dimensions of Rectangle A.

So, the rectangles are similar.

There is no other pair of rectangle which is similar.

Hence, Rectangle A is similar to Rectangle B.

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Marcus has thesame number of spatulas for all three solutes. Explain why his results are so different from those of Zara and arun

Answers

There are a few general reasons why Marcus's results might differ from Zara and Arun's:

   Solubility    Amount of solute added    Spatula size    Experimental error

What is the solutes about?

In terms of Solubility: Different solutes have different solubilities, which means they will dissolve to different extents in water. It's possible that the solutes Marcus is using have lower solubilities than the solutes used by Zara and Arun, which could lead to differences in the amount of solute that dissolves.

   Amount of solute added: Even if all three individuals add the same amount of solute to their test tubes, the amount of solute that actually dissolves may differ due to differences in solubility. If Marcus is using solutes with lower solubilities, he may be adding the same amount of solute as Zara and Arun, but a smaller proportion of it is dissolving.

  Spatula size: Marcus has the same number of spatulas for all three solutes, but it's possible that the size of his spatulas differs from those used by Zara and Arun. If Marcus's spatulas are smaller, he may be adding less solute to his test tubes, which could explain the differences in his results.

 Lastly, in terms of Experimental error: Finally, it's possible that there is some experimental error that is affecting Marcus's results. For example, he may not be measuring the amount of solute accurately, or he may be adding it to the test tube in a way that doesn't allow it to dissolve as well.

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Question in picture.

Answers

he possible values for c would be 31 and 41.

Option (D) is correct.

What is the quadratic equation?

A quadratic equation is a polynomial equation of the second degree, which means that it contains a variable raised to the power of two (usually x^2). The general form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

where a, b, and c are constants and x is the variable.

We have [tex](ax+2)(bx+7)=abx^2 +7ax+2bx+14=abx^2+(7a+2b)x+14[/tex]

Given, it is equal to 1[tex]5x^2+cx+14[/tex]

⇒ab=15 --- (1)

⇒7a+2b=c

Also given a+b=8 --- (2)

From equations (1) and (2), we can interpret that either of a or b are equal to 3 or 5

When a=3 and b=5, we have c=7(3)+2(5)=21+10=31

When a=5 and b=3, we have c=7(5)+2(3)=35+6=41

Hence, the possible values for c would be 31 and 41.

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A gardener wants to divide a square piece of lawn in half diagonally. what is the length of the diagonal side of the square is 8 fr. leave your answer in simplest radical form.

Answers

Answer:

  8√2 feet

Step-by-step explanation:

You want the length of the diagonal of a square that is 8 ft on a side.

Diagonal

The diagonal of a square is the hypotenuse of the isosceles right triangle with leg lengths equal to the sides of the square. The ratios of side lengths in such a triangle is ...

  1 : 1 : √2

Then the lengths of the sides of that triangle are ...

  8 ft : 8 ft : 8√2 ft . . . . . multiply ratio values by 8 ft

The diagonal length is 8√2 feet.

__

Additional comment

If you use the Pythagorean theorem to find the diagonal length, you will determine it is ...

  d = √(8² +8²) = 8√(1+1) = 8√2 . . . . feet

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Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had. (5 points)

Answers

Answer:

# of appointments is 3

Step-by-step explanation:

He makes $75 per appointment, which means this immediate value is directly dependent on the number of appointments (x). So it can be given by 75x.

Tips are simply added, tips are not directly dependent on the number of visits as customers will tip differently so we can add $40 to the equation.

Now we must negate the expenses, each appointment there is a fee of $10. So it can be given as 10x.

We know that this all must equal $235.

So the equation is as follows:

235 = (75x)+40-(10x)

Simplifying we get

235 = 65x + 40

195 = 65x

195/65 = x

x = 3

Therefore, Logan had 3 appointments.

if y x 3 equals to 3/5 y​

Answers

Answer:

since y = 0 when x = 0

Step-by-step explanation:

We can start by solving for y in the equation:

y * x = 3/5 y

Dividing both sides by y:

x = 3/5

So the equation y * x = 3/5 y can be simplified to:

y = 5/3 x

This equation shows that there is a proportional relationship between y and x, where y is always equal to 5/3 times x. This relationship can be represented on a graph by plotting points (x, y) and drawing a line through them. The slope of the line will be 5/3, and the y-intercept will be 0, since y = 0 when x = 0.

Answer:

y = ±1/√5

Step-by-step explanation:

3y = 3/5y

⇒3y×5y = 3

⇒15y² = 3

⇒y² = 3/15

⇒y² = 1/5

⇒y = ±1/√5

Elisa packs her suitcase before the trip the suitcase weighs 49 pounds the airline only allowed suitcases that way up to 23 km can Elisa take the suitcase on the plane show your work for every 10 kg there are about 22 pounds

Answers

The suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.

To determine if Elisa's suitcase is within the weight limit of 23 kg, we need to convert the weight of the suitcase from pounds to kilograms.

the suitcase weighs 49 pounds the airline only allowed suitcases that way up to 23 km is it correct weight or not

First, we need to convert 10 kg to pounds: 10 kg * (22 pounds / 1 kg) = 220 pounds

Next, we need to convert 49 pounds to kilograms: 49 pounds / (22 pounds / 1 kg) = 2.23 kg.

Since the suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.

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Solve the right triangle

Answers

Answer:

AC = 1.5 cmA = 61°B = 29°

Step-by-step explanation:

You want the missing side and the angles for the right triangle with leg BC = 2.7 cm and hypotenuse AB = 3.1 cm.

Cosine

The cosine of angle B is given by ...

  Cos = Adjacent/Hypotenuse

  cos(B) = CB/AB = 2.7/3.1

Then the angle is ...

  B = arccos(2.7/3.1) ≈ 29.429°

  B ≈ 29°

Angle A is the complement of angle B:

  A = 90° -29°

  A = 61°

Sine

The sine ratio is ...

  Sin = Opposite/Hypotenuse

Then side AC can be found from ...

  sin(B) = AC/AB

  AC = AB·sin(B) = 3.1·sin(29.429°) ≈ 1.523

  AC ≈ 1.5 . . . . cm

The triangle solution is ...

A = 61°B = 29°AC = 1.5 cm

__

Additional comment

The mnemonic SOH CAH TOA is intended to help you remember the trig ratios above, in addition to ...

  Tan = Opposite/Adjacent

which pair of events are overlapping when rolling a single six-sided die? a.) getting an even number getting a number less than 5 b.) getting a prime number getting a number greater than 5 c.) getting a 2 getting an odd number d.) getting an even number

Answers

The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."

The overlapping event occurs in option (a), where getting an even number and getting a number less than 5 have some numbers in common. The numbers 2 and 4 are both even and less than 5. Hence, these two events overlap. The other options do not overlap because getting a prime number, getting a number greater than 5, and getting a 2 do not have any numbers in common. The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."

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Rick is 11 3 4 years old. Lane is 1 3 8 years older than Rick and Jane is 1 1 5 years older than Lane. How old is Jane

Answers

The age of the jane is 565/48 years old.

Age problem

Problems on ages is a common topic from which questions are asked in almost all Government exams in the quantitative aptitude section.

in this the ages has been found by solving the relationship between the ages given in the question.

the age of rick is = 11 3/4 years old

= 47/4 years old

the age of the lane is 1 3/8 years older than rick

so we add 1 3/8 in the age of rick to find out the age of lane,

so, the age of Lane is = 47/4 + 1 3/8

= 47/4 + 11/8

= (94 + 11)/8

= 105/8 years old .

the age of the jane is 1 1/5 years older than Lane

so we add 1 1/5 in the age of lane to find out the age of jane,

so, the age of jane is = 105/8 + 1 1/5

= 105/8 + 6/5

= (525 + 40)/48

= 565/48 years old .

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Rewrite in simplest radical form

Answers

The simplest radical form is x⁵.

What is radical form?

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

The given radical form is [tex]\frac{x^{\frac{5}{6} }}{x^{\frac{1}{6} }}[/tex].

The radical and root of a number are the same thing.

Simplifying a radical eliminates the square roots, cube roots, fourth roots, etc.

In the given expression, 1/6 is the 6th root, in both numerator and denominator cancel out 6th root x.

That is,  [tex]\frac{x^{\frac{5}{6} }}{x^{\frac{1}{6} }}[/tex] =x⁵ ([tex]x^{\frac{1}{6} }[/tex]  in the denominator is gets cancelled with [tex]x^{\frac{1}{6} }[/tex] in the numerator)

Therefore, the simplest radical form is x⁵.

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b) A factor of 24 is chosen at random.
What is the probability, as a decimal, that it is a 2-digit number?

Answers

Answer

2.5

Step-by-step explanation:

have a nice day.

2v+12≥16 pls need help

Answers

Answer:

Here is how to work out the answer:

For the summer, Steve buys 2 shirts and 3 pairs of jeans. His brother buys 3 shirts and 1 pair of jeans. Define and use variables to represent the total cost.​

Answers

Answer:

5s + 4j where s is the cost of shirts and j is the cost of jeans

Step-by-step explanation:

for shirts, we can represent it with s

for jeans, we can represent it with j

steve is buying two shirts (s) and three jeans (j), so we can write Steve's cost as 2s+3j

his brother buys three shirts (s) and one pair of jeans (j), so we can write his brothers cost as 3s+1j

now, steve's cost is 2s+3j

and his brother's is 3s+1j

we can add these together to find the total cost

2s + 3j + 3s + 1j

combine like terms

5s + 4j

The total cost of the shirts and jeans are,

⇒ 5x + 4y

Where, x is cost of each shirt and y is cost of each jeans.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

For the summer, Steve buys 2 shirts and 3 pairs of jeans. His brother buys 3 shirts and 1 pair of jeans.

Let the cost of each shirt = x

And, The cost of each jeans = y

Hence, We get;

Cost of Steve shirts and jeans = 2x + 3y

And, Cost of his brother shirts and jeans = 3x + y

Thus, The total cost of the shorts and jeans are,

⇒ 2x + 3y + 3x + y

⇒ 5x + 4y

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a t test yields the probability (p value) that the null hypothesis is: select one: a. correct. b. incorrect. c. a direct correlation. d. an inverse correlation.

Answers

The t-test yields the probability (p value) that the null hypothesis is option (B) incorrect

The p-value in a t-test represents the probability of obtaining the observed test statistic (or one more extreme) assuming that the null hypothesis is true. The null hypothesis is typically a statement of "no effect" or "no difference" between two groups being compared in the test.

Therefore, a low p-value (generally less than 0.05) indicates that the observed data is unlikely to have occurred by chance under the null hypothesis and suggests that the null hypothesis is likely to be false.

In other words, a low p-value provides evidence against the null hypothesis and in favor of the alternative hypothesis (which typically represents the hypothesis that the researchers are interested in testing).

Thus, the p-value does not directly tell us whether the null hypothesis is correct or incorrect, but rather whether the evidence supports rejecting it or not.

Therefore, the correct option is (B) incorrect

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The length of a rectangle is one inch less than twice the width. The perimeter of the rectangle is 40 in. What is the area of the rectangle?

Answers

Answer:

Area = 91 square inches

Step-by-step explanation:

Let

L = length of the rectangle in inches

W = width of rectangle in inches

We are given:
The length of a rectangle is one inch less than twice the width

In math terms this is equivalent to:
L = 2W - 1

he perimeter of the rectangle is 40 in.
The perimeter of the rectangle = 2(L+ W)

So in math terms;
2(L + W) = 40

L + W = 40/2

L + W = 20

Since L = 2W - 1 we can substitute for L in terms of W in the above equation:
L + W = 2W - 1 + W = 3W - 1

Equating it to 20 gives
3W - 1 = 20

Add 1 both sides:
3W = 21

W = 7

Which gives

L = 2W - 1 = 2(7) - 1 = 14 - 1 = 13

So L = 13

The area of the rectangle = L x W

= 13 x 7

= 91 square inches

40/2=20 one width and length
Width : x cm
Length: 2x-1
Area=width × length=x(2x-1)=2x^2-x


2x^2+4x-y=-3
-2x+y=-4
solve by substitution

Answers

The value of x and y in the quadratic and linear equation are (0.37, -137) and (-3.26 , -6.74) respectively

What is substitution method

In the problem given;

2x² + 4x - y = -3 ..eq(i)

-2x + y = -4 ..eq(ii)

From equ(ii)

Using the linear equation;

y = 2x - 4 ...eq(iii)

Put eq(iii) into eq(i)

2x² + 4x - (2x - 4) = -3

2x² + 4x - 2x - 4 = -3

2x² + 2x - 4 = -3

Rearrange the equation;

2x² + 2x - 4 + 3 = 0

2x² + 2x - 1 = 0

Solving the quadratic equation;

x = 0.37 or -1.37

Put the value of x into eq(ii)

-2(0.37) + y = -4

y  = -3.26

or

-2(-1.37) + y = -4

y = -6.74

Learn more on substitution method here;

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Which of the following is the surface area of the right cylinder below?
radius 7
height 2

Answers

Answer:

395.8406(answer depends on what place you round to)

Step-by-step explanation:

The equation is A=2πrh+2πr^2. Plug it what you know, and it'd look like this: A=2π(7)(2)+2π(7)^2. Use your calculator and you get the answer.

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