The difference between two numbers is eight.
if the smaller number is n to the third power
what is the greater number?​

Answers

Answer 1

The greater number is [tex]$n^3+8$[/tex]

Let x be the greater number and y be the smaller number. We know that x-y=8.

We are also given that the smaller number is n³.

So we can set up the equation:

x = y + 8

x = n³ + 8

Therefore, the greater number is [tex]$n^3+8$[/tex].

The greater number is given as n³ + 8. If the smaller number we get is represented by the n³,  then by adding 8 to that value gives the greater number. The difference between the two numbers is always going to be 8, regardless of the value of n.

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Related Questions

what is the equation for pattern 2

Answers

Therefore , the solution of the given problem of equation comes out to be the number of dots is filled in below table.

What is an equation?

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a single formula that separates 12 into two parts and can be used to assess received from y + 7, normalization in this case yields b + 7.

Here,

Given : A table with number of dots can be filled by this:

Here are the number of dots in each pattern:

Pattern Number of dots

1 4

2 7

3 10

4 13

5 16

6 19

7 22

8 25

9 28

10 31

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pls help as soon as possible

Answers

Answer:

42x-27

Step-by-step explanation:

Question 8 (4 points)
For a meat raffle, 100 tickets were sold.
The following were prizes:
number of winners
1
4
15
prize
grand prize - $1000 cash
$250 meat package
$50 meat package
What is the probability of winning the grand prize? 1/20
What is the expected value for someone buying a single ticket for $10.00 ? $

Answers

There’s 100 tickets being sold so the grand cash prize would be 1000 and 250 meat package the probability of winning would be 1/14 the expected value would be 15

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in
producing large tubes of toothpaste.
O 2.1.3.4
O 4.1,2,3
O 4,3,1,2

Answers

The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

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Mark this and retum

Identify the fallacies of relevance committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy". Surely you welcome the opportunity to join our protective organization. Think of all the money you will lose from broken windows, overturned trucks, and damaged merchandise in the event of your not joining.

Answers

There are no fallacies of relevance committed by the given argument.

The following arguments commits fallacy: argumentum ad baculum. Argumentum ad baculum is a Latin phrase which means argument from a stick or appeal to force. It is a type of logical fallacy in which someone tries to persuade another person by using threats of force or coercion rather than using evidence or reasoning.

The above statement is an example of the argumentum ad baculum fallacy as it tries to use fear to convince people to join their protective organization. They are using the threat of potential losses to convince people to join. It is a manipulative strategy that attempts to scare people into joining by threatening the safety of their business.No fallacy is committed. There are no fallacies of relevance committed by the given argument.

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please help with geometry

Answers

Step-by-step explanation:

Since it is equilateral the angle at the top is 60 °

for right triangles   sin (angle ) =  opposite leg / hypotenuse

                                 sin (60) = sqrt 6/ x

                                        x = sqrt 6 / sin (60) = sqrt 6 / sqrt(3)/2 =

                                                2 sqrt 2    = 2.83

In this cartesian plane, I want you to make Ronaldo's face in it through the measuring!! In the 4 quartiles! I want you to send me back the document after you finish! or I will report you with 40 ACC I made

Answers

Answer:

answer is 091 accc h na tu

Which box plot represents data that contains an outlier?


A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 3 to 8. A line divides the box at 7. 5.

A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 10, and the box ranges from 6 to 8. 5. A line divides the box at 7. 5.

A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4.

A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 3 to 9, and the box ranges from 5 to 7. A line divides the box at 6,

Answers

The box plot represents the data set 2, 4, 6, 8, 10, 12 is option (a) A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 3 to 8. A line divides the box at 7. 5.

A box-and-whisker plot is a graphical representation of a data set that displays the distribution of the data, as well as its quartiles and any outliers. The plot is made up of a rectangular box, which represents the middle 50% of the data, with a line in the box representing the median. Two lines, called whiskers, extend from the box to represent the range of the data outside of the box, excluding any outliers. Outliers are any values that fall outside of the whiskers.

In the given options, the box-and-whisker plot that represents the data set 2, 4, 6, 8, 10, 12 is the one that has a box ranging from 4 to 10, with a median line dividing the box at 7. This means that 50% of the data falls between 4 and 10, with the median value being 7. The whiskers range from 2 to 12, indicating that the data set has a minimum value of 2 and a maximum value of 12.

Therefore, the correct option is (a) A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.

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The given question is incomplete, the complete question is:

Which box plot represents the data set 2, 4, 6, 8, 10, 12?

A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.

A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 8. A line divides the box at 6.

A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 9. A line divides the box at 6.

A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 6 to 10. A line divides the box at 8.

Answer: (B)

Correct Answer 100%! Pls, give me brainliest. Thank You!

cala used 4 2/3 cups of watermelon and 2 1/6 cups of cherries to make a fruit bowl how many cups of watermelon and cherries were used in all

Answers

Answer:

6 5/6 cups

Step-by-step explanation:

Add.

4 2/3 = 4 4/6

4 4/6 + 2 1/6 gives 6 5/6 cups were used in all.

Hope this helps!

Measure the diameter of the tin mm and write down the real diameter in mm

Answers

Answer:

Step-by-step explanation:

13
Select the correct answer.
Solve the following equation for x.-
x²-36=0
Ο Α.
OB.
OC.
O D.
X = 1; x = -36
x= -1; x = 36
x = -6; x = 6
x=-18; x = 18

Answers

Answer:

C.

Step-by-step explanation:

x² - 36 = 0

x = 6

6² = 6 x 6 = 36

So..

36 - 36 = 0

As there are so many equations in mathematics, it is a very broad subject. These are a few illustrations of typical mathematical equations: [tex]x = -6; x = 6[/tex]. Thus, option C is correct.

What is the equation used in maths?

To solve the equation [tex]x² - 36 = 0[/tex]  , we can use the difference of squares formula:

A, B, and C are constants in the quadratic equation: ax2 + bx + c = 0. A quadratic function, often known as a function with the form f(x) = ax2 + bx + c, can be solved using this equation to get its roots.

[tex]a² - b² = (a + b)(a - b)[/tex]

In this case, a² = x² and b² = 36, so we can write:

[tex]x² - 36 = (x + 6)(x - 6)[/tex]

Setting this expression equal to 0 and solving for x, we get:

[tex](x + 6)(x - 6) = 0[/tex]

[tex]x + 6 = 0 or x - 6 = 0[/tex]

[tex]x = -6 or x = 6[/tex]

Therefore, the solutions to the equation [tex]x² - 36 = 0[/tex] are  [tex]x = -6[/tex] and [tex]x = 6.[/tex]

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Question 8
Which division expression is the given figure modeling?
A
B
C
D
1
4÷3
3÷/1/1
1
12 ÷ 4
3 ÷ 1/1/
1
1

Answers

The division problem provided by the model shown here is [tex]3[/tex] ÷  [tex]\frac{1}{4}[/tex].

How are fractions divided?

The first step of dividing fractions is to get the reciprocal of a second fraction, which involves flipping its numerator and denominator. Multiply all two numerators after that. Multiply the 2 denominators after that. Then finish, if required, simplify the fractions.

Simple division: What is it?

Simple Division: Little numbers can be divided into groups and pieces using the simple division method in mathematics. Divide easy and basic division problems into terms that can be divided using simple division sums. Arithmetic, subtraction, multiplying, & division are the four fundamental mathematical operations.

Given:

We have three section [tex]1+ 1 + 1= 3[/tex]

[tex]= \frac{4}{12}[/tex]

[tex]= \frac{1}{3}[/tex]

In this case, the model yields the division issue.

[tex]3[/tex] ÷ [tex]\frac{1}{4}[/tex]

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How can I write this differently, 270 students don’t like carrots

Answers

Answer:

270 students dislike carrots.

Step-by-step explanation:

Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. Select the pair that is the mean and standard error of x. a) O [65, 2.236] b) O [65, 2.036] c) O [65, 2.436] d) O [80, 2.136] O [65, 1.936] f) None of the above

Answers

The pair that is the mean and standard error of x is [65, 2.236]. So, the correct option is a.

Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. We are required to select the pair that is the mean and standard error of x. The standard error of the mean (SEM) is calculated as follows :

$$SEM = \frac{\sigma}{\sqrt{n}}$$

Where σ is the standard deviation, and n is the number of observations or sample size.

Given that variance,

σ2 = 300

Therefore,

σ = √300 = 17.32.

Substituting the values in the formula, we have

$$SEM = \frac{\sigma}{\sqrt{n}} = \frac{17.32}{\sqrt{80}} = 1.9365$$

Therefore, the mean and standard error of x is [65, 1.936]. Option A is not the answer because the value of the standard error in that option is incorrect. Option B is not the answer because the value of the standard error in that option is incorrect. Option C is not the answer because the value of the standard error in that option is incorrect.

Option D is not the answer because the first value in that option is not the mean of x. Option E is incorrect because the value of the standard error is incorrect.

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Angelfish need at least 7
gallons of water to live.
Four friends have four
different sized fish tanks
(rectangular prisms). If
each tank has the
following dimensions,
which children have a
tank big enough for an
angelfish?
Hint: 1 gallon = 231 cubic inches
Children
Caroline
Thomas
Henry
Kym
Tank dimensions (inches)
16 x 14 x 9
15 x 7 x 9.5
14 x 12 x 9.5
14 x 11 x 10.5

Answers

Answer: Caroline and Kym

Step-by-step explanation:

To determine which children have a tank big enough for an angelfish, we need to calculate the volume of each tank in cubic inches and convert it to gallons.

Caroline's tank: Volume = length x width x height = 16 x 14 x 9 = 2,016 cubic inches. Converting to gallons: 2,016 / 231 = 8.72 gallons. Caroline's tank is big enough for an angelfish.

Thomas's tank: Volume = length x width x height = 15 x 7 x 9.5 = 999.75 cubic inches. Converting to gallons: 999.75 / 231 = 4.32 gallons. Thomas's tank is not big enough for an angelfish.

Henry's tank: Volume = length x width x height = 14 x 12 x 9.5 = 1,596 cubic inches. Converting to gallons: 1,596 / 231 = 6.90 gallons. Henry's tank is not big enough for an angelfish.

Kym's tank: Volume = length x width x height = 14 x 11 x 10.5 = 1,683 cubic inches. Converting to gallons: 1,683 / 231 = 7.28 gallons. Kym's tank is big enough for an angelfish.

Therefore, Caroline and Kym have tanks that are big enough for an angelfish. Thomas and Henry do not.

A a varies partly with B and with another quantity C. If the to when B=2 and A= 28 and A = 12 when B = 3 and C=26. Find the value of A when B = 4 and C=6 Find the value of B when A= 38 and C=6​

Answers

To solve this problem, we can use a system of two equations with two unknowns, based on the information given.

Let x be the part of A that varies with B, and y be the part of A that varies with C. Then we have:

A = xB + yC

Using the values given in the problem, we can write two equations:

When B = 2 and A = 28:
28 = 2x + 0y (since C is not mentioned)

When B = 3 and C = 26 and A = 12:
12 = 3x + 26y

Now we can solve for x and y by solving the system of equations:

2x = 28 => x = 14
3x + 26y = 12 => 42 + 26y = 12 => 26y = -30 => y = -15/13

Therefore, we have:

A = 14B - 15/13C

a) To find the value of A when B=4 and C=6, we can substitute B=4 and C=6 into the equation:

A = 14(4) - 15/13(6) = 56 - 45/13 = 383/13

Therefore, A is equal to 383/13 when B=4 and C=6.

b) To find the value of B when A=38 and C=6, we can rearrange the equation to solve for B:

A = 14B - 15/13C => 13A = 182B - 15C => 13A + 15C = 182B

Substituting A=38 and C=6, we have:

13(38) + 15(6) = 182B => 494 = 182B => B = 247/91

Therefore, B is equal to 247/91 when A=38 and C=6.

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2 , 5 , 8 ,Find the 41st term.

Answers

The 41st term of the sequence is 121.

What is a sequence?

In mathematics, a sequence is a list of numbers or objects that follow a certain pattern or rule. A sequence's terms are typically identified by subscripts, like a1, a2, a3,..., an, where n denotes the number of terms in the sequence.

Sequences can be arithmetic, geometric, or neither, depending on terms follow a static difference, constant ratio, or neither of these series, respectively. Algebra uses geometric sequences to represent exponential development or decay whereas arithmetic sequences are frequently employed to model linear connections.

The given sequence is 2 , 5 , 8 , ...

The common difference is:

d = 5 - 2 = 3

The nth term of a sequence is given as:

an = a1 + (n-1)d

Substituting the value we have:

an = 2 + (n-1)3

an = 3n - 1

a41 = 3(41) - 1 = 122 - 1 = 121

Hence, the 41st term of the sequence is 121.

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Write a two column proof for the following statement. Given that the Bible is true, prove that you personally need the Gospel to be in relationship with God. Fo this proof, you will need to establish(using scripture) the following flow of logic: 1 the state of mankind without the Gospel. 2 the state of mankind's relationship with God as a result of #1. 3 the affect of the Gospel message has on mankind. 4 the affect on mankind's relationship with God as a result of #3. ​

Answers

It is important that our understanding and spreading of the gospel comes from the biblical text itself, and it is equal important that we continue to preach and defend the one true gospel. Jesus died and rose again for the forgiveness of our sins.

The word gospel occurs ninety-nine times in the NASB and ninety-two times in the NET Bible. In the Greek New Testament, the gospel is a translation of the Greek noun "good news" occurring 76 times and of the verb "to bring or announce good news" 54 times. Both words are derived from the noun angelos, "messenger". In classical Greek, euangelos is one who brings news of victory or other joyful political or personal news.

The gospel of the grace of God emphasizes that all aspects of salvation are based on grace, not on a merit system.The gospel of the Kingdom is the good news that God will establish His kingdom on earth through the two comings of the Lord Jesus Christ.The gospel of peace describes how this good news of salvation in Christ brings peace in all areas (peace with God, peace with God, peace with others, and peace in the world) through the Savior's victory.

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Isaiah is grounded and has to stay in his room all day. He made up a game where he throws balled-up paper called a "trashball" into his trash can. The diameter of the top of the trash can 1 the diameter of the top of is 12 in. Isaiah wants the "trashball" to have a diameter that is the trash can. > What should the diameter of Isaiah's "trashball" be? d Level G ? in. 12 in.​

Answers

Answer:

Isiah Thomas

Step-by-step explanation:

I amazing fact

Answer:

the correct answer is 4

Step-by-step explanation:

yea sorry i don’t know step-by-step

Boxes is it a and B contain some counters box a contains more counters then box b what is the smallest possible value of K

Answers

The smallest possible value of k is 5. This is determined by setting up the equation 3k = (k + 8) + 1 and solving for k.

To find the smallest possible value of k, we need to determine the point where Box A has just one more counter than Box B. We can set up an equation to represent this:

3k = (k + 8) + 1

Simplifying the equation, we get:

3k = k + 9

2k = 9

k = 4.5

However, k must be a whole number, since we are dealing with counters. Therefore, the smallest possible value of k is 5.

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Complete question:

Boxes A and B contain some counters. Box A contains more counters than Box B. 3k counters in Box A and K+8 in Box B. What is the smallest possible value of K?

What is the area in square feet of the shaded part of the rectangle below

Answers

Answer:

45 sqft

Step-by-step explanation:

Split the shaded area into a rectangle and a triangle. The area of the rectangle is 3x10=30 and the area of the triangle is 3x10/2=15 30+15=45

Or 10x6=60 10*3/2=15 60-15=45

How to reduce dimension using PCA?

Answers

PCA (Principal Component Analysis) is an unsupervised learning technique used to reduce dimensionality. It is a commonly used dimensionality reduction technique. This technique is used to discover patterns in data that have multiple features. PCA is used to reduce the dimensionality of data.

Compute the mean of each feature. For every feature, compute the mean μ=1/nΣxi where n is the number of data points and xi is the feature vector. Calculate the covariance matrix compute the covariance matrix from the mean-adjusted data: X=X−μ,Covariance matrix: C=1/nXTX where X is the mean-adjusted data matrix.

Now find the eigenvectors and eigenvalues of the covariance matrix. Sort the eigenvectors in order of decreasing eigenvalues. These eigenvectors represent the principal components. The first eigenvector represents the direction of the maximum variance.

Create the projection matrix. Only the top k principal components are used for dimensionality reduction. The projection matrix can be computed by stacking the eigenvectors of the top k principal components: W=[u1u2…uk]where ui represents the eigenvector.

Project the data onto the lower-dimensional subspace. The original data can be projected onto the lower-dimensional subspace using the projection matrix: Z=X×WPCA is a commonly used dimensionality reduction technique that involves computing the principal components of a dataset. This technique can be used to find the most important patterns in the data.

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sam wants to color the three sides of an equilateral triangle. he has five different colors to choose from. in how many different ways can sam color the sides of the triangle? (two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)

Answers

There are 27 different ways for Sam to color the sides of the equilateral triangle, accounting for rotations and reflections.

We have,

To calculate the number of different ways Sam can color the sides of the equilateral triangle, we need to consider the symmetry of the triangle.

Since two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring, we need to account for these symmetries.

Let's analyze the possibilities:

- All three sides have the same color:

There is only one way to color the triangle in this case.

- Two sides have the same color, and the third side has a different color: Sam can choose the color for the two sides in 5 ways and the color for the remaining side in 4 ways (since it must be different from the other two colors).

However, we need to divide this by 3 to account for the different rotations of the equilateral triangle.

Thus, there are (5 x 4) / 3 = 20 / 3 = 6.67 (approx) ways to color the triangle in this case.

Since the number of colorings must be a whole number, we consider this as 6 ways.

- All three sides have different colors:

Sam can choose the color for the first side in 5 ways, the color for the second side in 4 ways (since it must be different from the first), and the color for the third side in 3 ways (since it must be different from the first two).

However, we need to divide this by 6 to account for the different rotations and reflections of the equilateral triangle.

Thus, there are (5 x 4 x 3) / 6 = 20 ways to color the triangle in this case.

In total, the number of different ways Sam can color the sides of the equilateral triangle is:

= 1 + 6 + 20

= 27.

Thus,

There are 27 different ways for Sam to color the sides of the equilateral triangle, accounting for rotations and reflections.

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The vertical supports in this subdivided truss bridge are built so that ∆BAC ≅ ∆DAC, BC = BA, and CD = AD. Which statement is not true?

Answers

Answer: Not D

Step-by-step explanation:

Answer not available, but it is definitely not D.

Your welcome.

Identify and name congruent triangles

Answers

The answers are a) ASA congruence rule b) SSS congruence rule c) it is not necessary congruent.

What is Congruence ?

Congruent refers to having the same height and shape. Congruent therefore involves comparing two numbers, and equivalent denotes the equality of two expressions. Therefore, to state two line segments are congruent implies that the two lines have equal measures.

According to question:

a) ∠GIH is corresponding to ∠LJK

GH = KL

∠IHG = ∠KLJ

By ASA congruence rule

ΔGIH ≅ ΔJKL

b) AB  = DF

AC = DE

BC = EF

By SSS congruence rule

ΔABC ≅ ΔDEF

c) Two Corresponding sides are congruent, which is not enough to make them congruent.

So, it is not necessary congruent.

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22 The regular selling price is a 22" tube television is $389. The markdown rate is 33%. Use the
percent paid to determine the sale price.
A. $245.34
C. $260.63
B. $267.89
D. $287.56

Answers

The Sale price is C. $260.63.

What is selling price?

Selling price is the price at which a product or service is sold by a business or seller to a customer. It is the amount of money that a customer must pay in order to purchase the product or service. The selling price is typically determined by factors such as production costs, competition, supply and demand, and profit margins.

What is sale price?

Sale price is the discounted price at which a product or service is sold for a limited period of time. It is usually a lower price than the regular price, and it is offered to customers as an incentive to make a purchase. Sale prices can be determined by applying a discount or markdown to the regular selling price.

In the given question,

To find the sale price, we need to first calculate the amount of the markdown:

Markdown = Regular Price x Markdown Rate

Markdown = $389 x 0.33

Markdown = $128.37

The sale price is then the regular price minus the markdown:

Sale Price = Regular Price - Markdown

Sale Price = $389 - $128.37

Sale Price = $260.63

Therefore, the answer is C. $260.63.

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A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. Refer to Exhibit 7-4. The point estimate of the mean content of all bottles is? a) 0.22 b) 4 c) 121 d) 0.02

Answers

The point estimate of the mean content of 121 bottles with the average content of 4 ounces and the standard deviation 0.22 ounces is 4. Option B is the correct answer.

A point estimate is a statistic used to predict the corresponding population parameter. In a sense, a point estimate is a guess about a parameter that uses data from a sample as the basis of the guess. Point estimates can be used to estimate population parameters such as the population mean or population standard deviation.

The point estimate is a single numerical value that represents a guess for a parameter. The sample mean and sample standard deviation are examples of point estimates for the population mean and population standard deviation. If a point estimate is a good guess, it should be fairly close to the true value of the parameter.

Thus, option B is the correct answer.

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How can you tell if a point is a solution to a two variable inequality?

Answers

One way to determine whether a point is a solution to a two-variable inequality is to substitute the values of the variables in the inequality and determine whether the inequality is true or false. If the inequality is true, the point is a solution, and if the inequality is false, the point is not a solution.

For example, consider the inequality 2x + 3y > 7. Let’s see if the point (1,2) is a solution. To do so, substitute x=1 and y=2 into the inequality:2(1) + 3(2) > 7 Simplify to get:2 + 6 > 7 This is true, so the point (1,2) is a solution to the inequality. Conversely, let’s see if the point (4,-1) is a solution. To do so, substitute x=4 and y=-1 into the inequality:2(4) + 3(-1) > 7 Simplify to get:8 - 3 > 7 This is false, so the point (4,-1) is not a solution to the inequality .There are some general rules that can be followed to help determine which side of a line is shaded in an inequality. If the inequality is greater than or less than, the line should be dashed, and the shading should be above or below the line, respectively. If the inequality is greater than or equal to or less than or equal to, the line should be solid, and the shading should be above or below the line, respectively.

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Eamples (finding slope in tables and graphs)
termine the slope of each linear equation. You may want to use the slope formula.
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Answers

The slope of a linear equation is an important skill to have, as it can be used to identify the rate of change of the equation, and can be used to predict future values of the equation.

What is equation?

An equation is an expression that states the equality of two things. It typically consists of an equal sign (=) and two expressions on either side of the equal sign that represent the same thing. Equations are used to describe relationships between different variables and can be used to solve mathematical problems. They can also be used to show the relationships between different quantities in physics and chemistry.

a)The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 6, and the run is 2, so the slope is 3.

b) The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 3, and the run is -7, so the slope is -3/7.

c) The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 4, and the run is 6, so the slope is 2/3.

Finding slope in tables and graphs is a common mathematical skill that is used to identify the rate of change of a linear equation. This is determined by finding the change in the dependent variable (the y-axis) divided by the change in the independent variable (the x-axis). This is what is referred to as the slope of the equation. To find the slope in tables and graphs, you must look at the differences between the points on the x-axis and y-axis, and divide the change in the y-axis by the change in the x-axis. This will give you the slope of the equation. Finding the slope of a linear equation is an important skill to have, as it can be used to identify the rate of change of the equation, and can be used to predict future values of the equation.

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Perimeter of a ______________ = side+side+side+side+side

Answers

Perimeter of a regular pentagon = side + side + side + side + side

A polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. The perimeter of a polygon is defined as the total distance around the exterior of the shape.

To calculate the perimeter of a polygon, you add up the lengths of all its sides. For example, a regular pentagon has five sides that are all the same length. To find the perimeter of this pentagon, you would add up the length of all five sides:

Perimeter of a regular pentagon = side + side + side + side + side

= 5 × side

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