fourth step in the process of coding the responses to survey questions involves assigning a coded value to each response. Which of the following statements is true of this step? It follows the data entry phase of data preparation It is the step where omissions are either coded or left out. It is automated and is the easiest phase of the entire process. It is almost always necessary to avoid problems in the data entry phase. It precedes the data validation phase of data preparation.

Distinct real eigenvalues are eigenvalues of a matrix that are not equal to each other and are real numbers. In order to find the general solution of the given system, we first need to find the eigenvalues and eigenvectors of the coefficient matrix.

For problems 1-3, we can write the coefficient matrix as a 2x2 matrix and find its characteristic equation by computing the determinant:

1. The coefficient matrix is [1 2; 4 3], which has a characteristic equation of λ^2 - 4λ - 5 = 0. Solving for the eigenvalues, we get λ1 = -1 and λ2 = 5. To find the eigenvectors, we plug in each eigenvalue and solve for the corresponding eigenvector. For λ1 = -1, we get the eigenvector [2; -1], and for λ2 = 5, we get the eigenvector [2; 1].

Using these eigenvectors, we can write the general solution as:

x(t) = c1*e^(-t)*2 + c2*e^(5t)*2
y(t) = c1*e^(-t)*(-1) + c2*e^(5t)*1

2. The coefficient matrix is [1 -2; 1 3], which has a characteristic equation of λ^2 + 2λ + 5 = 0. Solving for the eigenvalues, we get λ1 = -1 + 2i and λ2 = -1 - 2i. To find the eigenvectors, we plug in each eigenvalue and solve for the corresponding eigenvector. For λ1 = -1 + 2i, we get the eigenvector [1; -1 + 2i], and for λ2 = -1 - 2i, we get the eigenvector [1; -1 - 2i].

Using these eigenvectors, we can write the general solution as:

x(t) = c1*e^(-t)*cos(2t) + c2*e^(-t)*sin(2t)
y(t) = c1*e^(-t)*(-1 + 2i)*cos(2t) + c2*e^(-t)*(-1 - 2i)*sin(2t)

3. The coefficient matrix is [1 -2; -1 3], which has a characteristic equation of λ^2 + 2λ - 5 = 0. Solving for the eigenvalues, we get λ1 = -5 and λ2 = 1. To find the eigenvectors, we plug in each eigenvalue and solve for the corresponding eigenvector. For λ1 = -5, we get the eigenvector [-2; 1], and for λ2 = 1, we get the eigenvector [2; 1].

Using these eigenvectors, we can write the general solution as:

x(t) = c1*e^(-5t)*(-2) + c2*e^(t)*2
y(t) = c1*e^(-5t)*1 + c2*e^(t)*1

For problems 4-12, the coefficient matrix is a 3x3 matrix, and the process is similar but more complex. The general solution will have three terms instead of two, and each term will involve a different eigenvalue and eigenvector. The exact solution for each problem will depend on the specific values of the matrix coefficients.

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Answer:

figure d

Step-by-step explanation:

it is the smartes and most common answer

Answer: .  & %

Step-by-step explanation:

 
   43/60 = 0.71666

whilewhilewhilewhile

43/60× 100

.71666×100

71%

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The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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The availability of this repairable product is approximately 0.762, or 76.2%.

In order to find the availability of a repairable product, we need to consider its failure rate and mean time to repair. The formula for availability (A) is:

A = MTBF / (MTBF + MTTR)

Where MTBF is Mean Time Between Failures and MTTR is Mean Time To Repair.

Since we have a constant failure rate (λ), we can calculate the MTBF as the inverse of the failure rate:

MTBF = 1 / λ

In this case, the failure rate (λ) is 0.0078 failures per hour. Let's calculate the MTBF:

MTBF = 1 / 0.0078 = 128.205 hours

Now, we know the MTTR is 40 hours. We can use the availability formula to find the answer:

A = MTBF / (MTBF + MTTR)
A = 128.205 / (128.205 + 40)
A = 128.205 / 168.205
A ≈ 0.762

So, the availability of this repairable product is approximately 0.762, or 76.2%.

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Hey there!

Solve using pythagoras theorem (given ∆ABC is a right triangle)

Pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude²

In ∆ABC,

BC = 14 cm

AC = 48 cm

AB = c

Solve for c.

Hypotenuse² = Base² + Altitude²

c² = AC² + BC²

c² = 48² + 14²

c² = 2304 + 196

c² = 2500

c = √2500

c = 50 cm

Hope it helps ya!

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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9514 1404 393

Answer:

Step-by-step explanation:

If we let x represent one of the numbers, then you want ...

  x(58 -x) = 201.25

  x² -58x +201.25 = 0 . . . . . put in standard form

  (x² -58x +29²) +201.25 -29² = 0 . . . . complete the square

  (x -29)² -639.75 = 0

  x -29 = ±√639.75 . . . . . add 639.75 and take the square root

  x = 29 ±√639.75 . . . . . . add 29

The two numbers of interest are ...

  29 +√639.75 ≈ 54.2933

  29 -√639.75 ≈ 3.7067

Answer:

cos 315°   =   45° reference angle in the 4th quadrant =  √2 /2

And sin 315°    is the negative of this

So  

z = (3) cos 315°  + ( 3i ) sin 315°  =

[   (3/2)√2  ,  - (3/2) √2 i  ]

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

The difference between the 51st term of A and the 51st term of B is 1000.

the nth term of an arithmetic series is given by \(a_{n} = a_{0} (n-1)*d\)

where \(a_{0}\) is the first term of the arithmetic series, \(a_{n}\) is the nth term of the series and d is the common difference

Given that, \(a_{0}=b_{0}=30\)

Given that both series have common differences and have an absolute value of 10.

common difference of series a is 10 as this series is increasing

similarly common difference of series b is -10 as it is decreasing

putting the values in the above equation we get:

\(a_{n} = a_{0} (n-1)*d\)

=> 30 + (51-1)*10

=> 30 + 500

=> 530

so. 51st term of A is 530.

Then, the 51st term of B = 30 + (51-1)*-10 => 30 -500 = -470

Hence the difference between the 51st term of A and B = 530-(-470)= 1000

Therefore, The difference between the 51st term of A and the 51st term of B is 1000.

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\(\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan(x )+cot(x )~~ = ~~\cfrac{1}{sin(x )cos(x)} \\\\[-0.35em] ~\dotfill\\\\ tan(x )+cot(x )\implies \cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)} \\\\\\ \cfrac{sin^2(x)+cos^2(x)}{sin(x )cos(x)}\implies \cfrac{1}{sin(x )cos(x)}\)

The probability that at least one of them has been vaccinated is 0.9552

Probability:

Probability defines the possible occurrence of any particular required event.

Given,

Here we need to find in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated.

Here we have to know that,

The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.

The sum of all probabilities must equal 1.

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

Then the probability is calculated as,

P = 1 - Q

Now if 54% are vaccinated, then 46% are not vaccinated.

Thus any given person has a probability of 0.46 of not being vaccinated.

=> Q = (0.46)⁴

=> Q = 0.0448

Then apply the value to the formula,

=> P = 1 - 0.0448

=> P = 0.9552

Therefore, the probability that at least one of them has been vaccinated 0.9552.

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Answer:

1st box is "a 90°clockwise rotation about the origin

2nd box is "a 180° rotation about the origin

3rd box is "a 90° counterclockwise rotation about the origin

The amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet. Let us first calculate the perimeter of the garden by adding all the sides together.

The garden is 5 feet by 6 feet, so its perimeter is:2(5) + 2(6) = 10 + 12

= 22 feet

Now, we have to add the walkway's width around the garden to the dimensions of the garden. Since the walkway is 2 feet wide on all sides, we add 4 feet (2 feet on each side) to the width of the garden and 4 feet to its length. Therefore, the new dimensions of the garden, including the walkway, are:

5 + 2 + 2 = 96 + 2 + 2

= 8

So the dimensions of the garden, including the walkway, are 9 feet by 8 feet.Now, we need to calculate the perimeter of the walkway. The perimeter is calculated as follows:

2(9) + 2(8) = 18 + 16

= 34 feet.

The question asks for the amount of fencing required to surround the walkway. Therefore, we subtract the perimeter of the garden from the perimeter of the walkway to obtain the required amount of fencing.

34 - 22 = 12 Therefore, the amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet.

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Answer:

true 8 is the common

please follow me so I will follow you

Answer:

False

Step-by-step explanation:

Premise: 8n-1 = 2n+8

6n-1 = 8

6n = 9

n = 1.5 Since n must be an integer, this is an extraneous solution. The premise is false.

Answer:

1

Step-by-step explanation:

\( log_{3}(5) \times log_{25}(9) = \frac{ log(5) }{ log(3) } \times \frac{ log(9) }{ log(25) } = \frac{ log(5) }{ log(3) } \times \frac{2 log(3) }{ 2log(5) } = \frac{2}{2} = 1\)

Answer:

I can help!!

Step-by-step explanation:

Where is it?

Answer:

lol igu

Step-by-step explanation:

The standard deviation measures how far the data are from the dataset mean. The lower the standard deviation is, the closest the data are to the mean.

In this case, the pilot strives for a mean equal to 0 (zero minutes late). Also, since the pilot needs the arrivals to be as close as possible to this mean of zero minutes late (on-time), they want the data of "minutes late" to be all close to this mean. And this is achieved with a lower standard deviation.

Therefore, they want a lower standard deviation.

Answer: 31

Step-by-step explanation:

9 + 2 = 11. 11 is how old Kelly is in 2 years.

1/3 of 33 is 11. Kelly's mother is 33 in two years, meaning two years ago, Kelly's Mother is 31.

Here is the full equation.   K = Kelly.    M = Kellys Mom

9k = m

2k + 9k = m + 2m

11k = m + 2

11k = \(\frac{m}{3}\)

M + 2 = 33

     -2    -2

m = 31

Answer:

7

Step-by-step explanation:

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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The product of \(-2x^3 + x -5\) and \(x^3-3x-4\) is equals to  -\(2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20\).

What is Linear equation?

Linear equation can be defined as equation in which highest degree is one.

(a) To find the product of \(-2x^3 + x -5\) and \(x^3-3x-4\), we can use the distributive property of multiplication. We multiply each term of the first expression by each term of the second expression and then combine like terms.

\(-2x^3(x^3) + -2x^3(-3x) + -2x^3(-4) + x(x^3) + x(-3x) + x(-4) - 5(x^3) - 5(-3x) - 5(-4)\)

Simplifying the expression by multiplying and adding the like terms, we get:

\(-2x^6 + 6x^4 + 8x^3 + x^4 - 3x^2 - 4x - 5x^3 + 15x + 20\)

Combining like terms again, we get:

\(-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20\)

(b) Yes, the product of\(-2x^3 \\\)+ x -5 and \(x^3-3x-4\) is equal to the product of\(x^3-3x-4 and -2x^3+x-5.\)This is because multiplication is commutative, which means the order of the factors does not affect the result of the multiplication. Therefore, we can rearrange the terms and get the same product.

Therefore, the product of \(-2x^3 + x -5\) and \(x^3-3x-4\) is\(-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20\)

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Answer:

Step-by-step explanation:

Arc CAB through E is just the sum of the 3 minor arcs you are given

Arc CEB = 53 + 79 + 68

Arc CEB = 200