Which equation represents the situation below?
After a 20% discount, the cost of a pair of headphones was $260. How much did the headphones cost before the discount?
Let h = original cost of headphones

Which Equation Represents The Situation Below? After A 20% Discount, The Cost Of A Pair Of Headphones

Answers

Answer 1

Answer:

Para calcular el precio original de los auriculares antes del descuento, podemos usar la fórmula:

Precio original = Precio después del descuento / (1 - Porcentaje de descuento)

Donde "Precio después del descuento" es el costo de los auriculares después del descuento, y "Porcentaje de descuento" es el porcentaje aplicado como descuento. En este caso, el porcentaje de descuento es del 20%, es decir, 0.2 en términos decimales.

Sustituyendo los valores conocidos, obtenemos:

Precio original = 260 / (1 - 0.2)

Precio original = 260 / 0.8

Precio original = 325

Por lo tanto, el costo original de los auriculares antes del descuento era de $325.:

Answer 2

Answer:

The answer is D. (1-0.2)h=260

Step-by-step explanation:


Related Questions

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

The circle graph describes the distribution of preferred music from a sample of 400 randomly selected middle school students.

a circle graph titled preferred music, with five sections labeled rock 13 percent, hip hop 25 percent, pop 35 percent, classical 13 percent, and jazz 14 percent

Which of the following conclusions can we draw from the circle graph?

Pop is the preferred music for 35 students.
Jazz is the preferred music for 56 students.
Together, Hip Hop, Rock, and Jazz are the preferred music for less than half the students.
Together, Hip Hop and Pop are the preferred music for 260 students.

Answers

After answering the provided question, we can conclude that As a result, circle we cannot conclude that Hip Hop and Pop are incompatible.

What is circle?  

A circle seems to be a two-dimensional component defined as such collection of the all points in a jet that become equidistant from the hub. A circle is commonly portrayed with the capital "O" for centre and the lower section "r" for the radius, which is the distance from the origin to any point on the circle.

Girth (the distance from around circle) is given by the formula 2r, where (pi) is a proportionality constant roughly equal to 3.14159. The formula r² calculates the circle's circumference, which refers to the amount of room inside of the circle.

We can draw the following conclusions from the information in the circle graph:

Pop music is preferred by 35% of the sample, which means that 35% of 400 students, or 140 students, prefer pop music.

Jazz is the preferred music for 14% of the sample, which means that jazz is preferred by 14% of 400 students, or 56 students.

Hip Hop, Rock, and Jazz are preferred music by 52% of the sample, which means that these three genres are preferred by 52% of 400 students, or 208 students.

Hip Hop and Pop are preferred music by 60% of the sample, which means that 60% of 400 students, or 240 students, prefer these two genres together. As a result, we cannot conclude that Hip Hop and Pop are incompatible.

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Use the discriminant to determine the number of solutions.
10. y=x²-3x+2
11. y = 2x² - 4x +3
13. y = x’−5x−10
14. y=x²+2x-1
12. y=-3x² + 5x-1
15. y = 4x²-9

Answers

In response to the stated question, we may state that y = 4x²-9 The discriminant is (-9)² - 4(4)(0) = 81. Since the discriminant is positive, there are two real solutions.

What is quadratic equation?

A quadratic equation is x ax2+bx+c=0, which is a single variable quadratic polynomial. a 0. Because this polynomial is of second order, the Basic Theorem of Algebra implies that it has at least one solution. Simple or complex solutions are possible. A quadratic equation is a quadratic equation. This means it has at least one word that must be squared. The formula "ax2 + bx + c = 0" is a common solution for quadratic equations. where a, b, and c are numerical coefficients or constants. where the variable "X" is unnamed.

y=x²-3x+2

The discriminant is (-3)² - 4(1)(2) = 1. Since the discriminant is positive, there are two real solutions.

y = 2x² - 4x +3

The discriminant is (-4)² - 4(2)(3) = -8. Since the discriminant is negative, there are no real solutions.

y=-3x² + 5x-1

The discriminant is (5)² - 4(-3)(-1) = 29. Since the discriminant is positive, there are two real solutions.

y = x’−5x−10

The discriminant is (-5)² - 4(1)(-10) = 65. Since the discriminant is positive, there are two real solutions.

y=x²+2x-1

The discriminant is (2)² - 4(1)(-1) = 8. Since the discriminant is positive, there are two real solutions.

y = 4x²-9

The discriminant is (-9)² - 4(4)(0) = 81. Since the discriminant is positive, there are two real solutions.

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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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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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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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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.

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?

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.

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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A plane takes off 500 feet away from a tower. The plane takes off at an angle of
elevation of 20°. In its path is the tower of 200 feet.
Will the plane clear the height of the tower? (yes/no)


How many feet (to the nearest foot) will the plane either clear or be short of the
tower. Enter a positive value if the distance represents how far over the tower the
plane will fly. Enter a negative distance if the distance represents how much lower
the plane will be than the tower.

Answers

Answer:Taking off: 2

Flying: 3

Landing: 4

Landing well enough you can use the plane again: 5

Landing well enough that your passengers will fly with you again: 6

Having the judgement and strength of character to say “I know I promised we'd fly home today, but the weather is bad so we're going to have to wait a day and miss that thing you wanted to go to”: 10

Step-by-step explanation:

pls help as soon as possible

Answers

Answer:

42x-27

Step-by-step explanation:

pls solve it. it's urgent ​

Answers

Rounding to the nearest cm², the area of the shaded region is 32 cm².

Describe Area of triangle?

The area of a triangle is the measure of the region enclosed by the three sides of a triangle. It is measured in square units. The formula to find the area of a triangle is given as:

Area = 1/2 x base x height

where "base" is the length of the side of the triangle that is perpendicular to the height and "height" is the distance between the base and the opposite vertex.

The base and height can be any two sides of the triangle as long as the height is perpendicular to the base. If the base and height are not known, they can be found using the Pythagorean theorem or other trigonometric functions.

We can find the area of the shaded region by subtracting the area of triangle ABD from the area of rhombus ABCD.

To find the area of triangle ABD, we need to first find the length of BD. Since angle BAD is 70 degrees and ABCD is a rhombus, we know that angle BCD is also 70 degrees. Therefore, angle BXD is 70 degrees / 2 = 35 degrees.

Using trigonometry, we can find BD:

tan(35) = BD/9

BD = 9 tan(35)

BD ≈ 5.458 cm

To find the area of triangle ABD, we use the formula:

Area of triangle = (base x height) / 2

The base of triangle ABD is BD, which we just found, and the height is the perpendicular distance from A to BD. We can find this distance using trigonometry and the fact that angle BAC is 20 degrees:

tan(20) = height/9

height = 9 tan(20)

height ≈ 3.170 cm

Therefore, the area of triangle ABD is:

Area of triangle ABD = (BD x height) / 2

Area of triangle ABD = (5.458 x 3.170) / 2

Area of triangle ABD ≈ 8.661 cm²

The area of rhombus ABCD is:

Area of rhombus ABCD = (diagonal 1 x diagonal 2) / 2

Area of rhombus ABCD = (9 x 9) / 2

Area of rhombus ABCD = 40.5 cm²

Therefore, the area of the shaded region is:

Area of shaded region = Area of rhombus ABCD - Area of triangle ABD

Area of shaded region = 40.5 - 8.661

Area of shaded region ≈ 31.839 cm²

Rounding to the nearest cm², the area of the shaded region is 32 cm².

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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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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.

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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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14.5% of an amount is 812 , what is the original number

Answers

the original number after simplification is 5600.

Define Fraction

A fraction is a numerical quantity representing a part of a whole or a ratio between two numbers. It is expressed as one integer, called the numerator, written above a horizontal line, and another integer, called the denominator, written below the line.  For example, the fraction 2/5 represents two out of five equal parts or 2 divided by 5,

We can start by using the fact that 14.5% can be written as a decimal fraction 0.145.

Let X be the original number we want to find.

Then we can set up the following equation:

0.145 ×X = 812

To solve for X, we can divide both sides by 0.145:

X = 812 / 0.145 = 5600

Therefore, the original number is 5600.

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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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a drawer contains 11 identical red socks and 8 identical black socks. suppose that you choose 2 socks at random in the dark. a. what is the probability that you get a pair of red socks? b. what is the probability that you get a pair of black socks? c. what is the probability that you get 2 unmatched socks? d. where did the other red sock go?

Answers

The drawer contains 11 identical red socks and 8 identical black socks. Here are the answers to the questions below

a. The probability of getting a pair of red socks is the probability of selecting two red socks, 55/171b. The probability of getting a pair of black socks is the probability of selecting two black socks, 28/171c. The probability of getting two unmatched socks is the sum of the probability of selecting a red sock first and a black sock second and the probability of selecting a black sock first and a red sock second, 88/171d. It's not clear from the information given

Problem statement

a. What is the probability that you get a pair of red socks?The probability of getting a pair of red socks is the probability of selecting two red socks, which is: P(Red and Red) = P(Red) × P(Red | Red was first) = (11/19) × (10/18) = 55/171.

b. What is the probability that you get a pair of black socks?The probability of getting a pair of black socks is the probability of selecting two black socks, which is: P(Black and Black) = P(Black) × P(Black | Black was first) = (8/19) × (7/18) = 28/171.

c. What is the probability that you get 2 unmatched socks?The probability of getting two unmatched socks is the sum of the probability of selecting a red sock first and a black sock second and the probability of selecting a black sock first and a red sock second: P(Red and Black or Black and Red) = P(Red) × P(Black | Red was first) + P(Black) × P(Red | Black was first) = (11/19) × (8/18) + (8/19) × (11/18) = 88/171.

d. Where did the other red sock go? It's not clear from the information given. It could be missing or misplaced, or it could be in the drawer, but the problem doesn't provide enough information to determine what happened to it.

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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!

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

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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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

40 percent of employess judge their peers by their cleaniliness of the workspace

Answers

The number of employees who judge their cleanliness in their workplaces are: P(x=0) = 0.0168, P(x=1)= 0.0896, P(x=2) =0.2090, P(X=3)= 0.2787,

P(X=4)= 0.2322, P(X=5)= 0.1239, P(X=6)= 0.0413, P(x= 7)= 0.0079 and P(x=8)= 0.0007.

Binomial distribution :

A binomial distribution is a distribution whose experiment has two possible outcomes, a success and failure. The outcomes of the experiment do not depend on each other. In probability theory and statistics, the binomial distribution with the parameters n and p is a discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes or no question, each with its own Boolean result. : success (with probability p) or failure (with probability q=1-p). A pass/fail experiment is also called Bernoulli's trial or Bernoulli's experiment, and a sequence of results is called Bernoulli's process; for a single trial, i.e. n = 1, the binomial distribution is the Bernoulli distribution.

According to the Question:

For n trials in a binomial distribution, the probability of getting success:

[tex]P(X=x) = \frac{n!}{(n-x)!x!} * p^x *q^{(n-x)}[/tex]

Where p = success

q = failure

n = 8, p= 40% = 0.4

q = 1-0.4 = 0.6

After calculating, we get the values:

P(x=0) = 0.0168,                               P(x=1)= 0.0896,

P(x=2) =0.2090,                               P(X=3)= 0.2787,

P(X=4)= 0.2322,                               P(X=5)= 0.1239,

P(X=6)= 0.0413,                                P(x= 7)= 0.0079

and P(x=8)= 0.0007.

Complete Question:

40% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces.

P(x)=0,1,2,3,4,5,6,7, 8

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Please need help in math

Answers

I inserted in an image below to help you with the rule.

The 1st point  is (6,1) . This becomes (1,-6).

The 2nd point is (-5,-6). This becomes (-6, 5)

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.

Work out the total area of the shape below:

Answers

The total area of the given shape is 71cm².

What is area?

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. A shape's area can be calculated by contrasting it with squares of a known dimension. The square meter (abbreviated as m²), which is the area of a square whose sides are one metre long, is the common measure of area in the International System of Units (SI). Three such squares would be the same size as a shape with a three square metre surface.

The following figure can be divided into a rectangle 7cm x 8cm and a triangle of height and base 6 cm and 5 cm respectively.

Area of rectangle= 7*8= 56 cm²

Area of triangle= 1/2* base*height= 1/2*6*5 = 15 cm²

Total area of shape = 56+15= 71 cm²

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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

Assume a Poisson random variable has a mean of 5 successes over a 125-minute period. a. Find the mean of the random variable, defined by the time between successes. Mean 25 b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.) Rate parameterſ 0.04 c. Find the probability that the time to success will be more than 55 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability

Answers

The mean of time between success is 0.2 minutes, rate parameter is 5 and probability that the time to succeed will be more than 55 minutes is approximately 0.000026 when Poisson random variable has a mean of 5 successes over a 125-minute period.

They can be found out by:

(A) The mean of the random variable defined by the time between successes can be found by using the fact that the Poisson distribution is memory less, which means that the time between successes follows an exponential distribution. The mean of an exponential distribution is equal to the reciprocal of the rate parameter, so:

 Mean of time between successes = 1 / rate parameter = 1 / 5 = 0.2 minutes

(B) The rate parameter of the exponential distribution can be found using the fact that the mean of the exponential distribution is equal to the reciprocal of the rate parameter, as derived in part a:

 rate parameter = 1 / mean of time between successes = 1 / 0.2 = 5

(C)The probability that the time to success will be more than 55 minutes can be found using the cumulative distribution function (CDF) of the exponential distribution with the rate parameter found in part b:

P(X > 55) = 1 - P(X <= 55) = 1 - F(55) = 1 - (1 - e^{(-5*55)}) = 0.000026 (rounded to 4 decimal places)

Therefore, the probability that the time to success will be more than 55 minutes is very small, approximately 0.000026.

The mean of random variable defined by time between success is 0.2 minutes, rate parameter of exponential distribution is 5 and probability that the time to succeed will be more than 55 minutes is approximately 0.000026 .

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The perimeter of a square is 16 cm find length , diagonal and area

Answers

Answer:

Step-by-step explanation:

we have perimeter 16

for perimeter 4+4+4+4 we add together it's 16

for area we have 4 times 16

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