adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen?

Answer

x = 5

Step-by-step explanation:

Subtract  x

=

6

−

1

Subtract  

1

from  

6

.

x

=

5

Step-by-step explanation:

Area of the border = Length * Breadth

If the outside measures 10in by 11in with 1-in border, the length of the picture with border = 10+(1+1) * 11+(1+1)

Area of the border = 12*13

Area of the border = 156in²

Note that the border length will be added at both edges of the frames for each length and the width of the frame

Answer:

38

Step-by-step explanation:

Answer: A

Given:

First, distribute the negative sign:

Then, combine like terms:

Then factor out 3x:

With this, we know that:

The answer would then be A.

Answer:

The answers are C and E

Step-by-step explanation:

Took the test.

Answer: options 3( C) and 5( E) are right.

Step-by-step explanation: edge 2023

Answer:

E=(7.25h)+2m

Step-by-step explanation:

h is the number of hours worked and we know Joanne earned 7.25 per hour so we have 7.25h, every hour she earns 7.25. M is the number of miles She drives and we know she is paid 2 for every mile so 2m. E is the total amount she earns so it is equal to everything else

Answer: Whole thing=20.5

First half (17,18,19,20)=18.5

Second half (21,24,25,27) = 24.5

Step-by-step explanation:

eliminate numbers on both sides till you get to the middle if there is an even number add up the two numbers in the middle and divide them by 2

For example, In the whole thing, you are left with 20 and 21 so

20+21 =41/2= 20.5

For example, In the first part, you are left with 18 and 19 so

18+19 =37/2= 18.5

For example, In the first part, you are left with 24 and 25 so

24+25 =49/2= 24.5

Don's null hypothesis is that there is no statistically significant difference between the mean debt of students who attended private college and the mean debt of students who attended public colleges, represented as H₀: μ₁ - μ₂ = 0

The null hypothesis (H0) is a statement of "no difference" or "no effect" and is typically represented as "there is no statistically significant difference between the mean debt of students who attended private college and the mean debt of students who attended public colleges." Therefore, in this case, Don's null hypothesis can be stated as

H₀: μ₁ - μ₂ = 0

where μ₁ represents the population mean debt for students who attended private college, and μ₂ represents the population mean debt for students who attended public colleges.

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the least-squares solution of a x = b is the vector in the column space of a closest to b. then the statement is true

​ Aleast- squares solution of is a vector such that for all in .

The statement is true because the general​ least-squares problem attempts to find an that maximizes .

The above statement is actually the one that validates the least-square solution statement.

Hence , the least-squares solution of a x = b is the vector in the column space of a closest to b .then the statement is true

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Answer:

Six 20$ bills, Three 50$ bills, One $100 bill

Step-by-step explanation:

6x20=120

3x50=150

1x100=100

120+150+100=370

and there are twice as many 20$ checks than 50$ checks

To factor quadratics with leading coefficients other than 1, you can follow these steps:

Check your factoring by expanding the factored form to see if it simplifies back to the original quadratic equation.

Remember that factoring quadratics with leading coefficients other than 1 may involve more complex algebraic techniques, and in some cases, the quadratic equation may not factor easily. In such cases, you can resort to using the quadratic formula to find the roots of the equation.

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they are straight lines that make a plus

Answer:

5 km/sec

Step-by-step explanation:

90km/18 sec

90/18 = 5

The measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

A circle is a locus of a point that moves in a plane such that its distance from a fixed point is always constant.

As we know that a circle has a total of 360 degrees all the way around the center.

So, the measure, in degrees of an angle that represents 50/360 of a circle will be =  50/360 * 360 degrees.

the measure, in degrees of an angle that represents 50/360 of a circle will be = 50 degrees.

Therefore, the measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

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The measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

A complete circle has a 360° angle at the center of it, since the angle we need to calculate is represented by 50/360, therefore, the measure of the angle can be written as,

\(\theta = \dfrac{50}{360}\times 360^o = 50^o\)

thus, the measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

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Answer:

1.sans 2.robox 3.free robux

Step-by-step explanation:

robloz free robuz

Option C that is the range of the transformed test scores equals 3.5(the range of the raw scores) + 6.2 is NOT true

The range for a given data set is the difference between the highest and lowest data values. On transforming the scores using the new rule of transformation the highest and lowest values of the test scores also get changed. But the range of raw scores when multiplied by 3.5 and added to 6.2 will not be equal to the range of the transformed scores.

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Answer:

\(\sqrt{2}\) or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. \(\sqrt{2}\)

Answer:

the answer square root of 2! just did the test and got it right :)

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is 1

Corresponding angles Postulate is 2

Substitution is 4

Same side theorem is 3

Amy only reads the one star reviews to make a decision on whether or not to rent the movie.

What is selection bias?

An assertion that it is possible to produce mathematically important objects by choosing particular elements from predetermined sequences of sets is known as a selection principle in mathematics.

So one star reviews may contain:

1. their problem with the performance.

2. their main issue.

So, Amy  needs to read one star reviews to decide whether to give a try or not.

BTW, the complete question is:

Amy wanted to review what others thought of a movie she was interested in before she rented it. She noticed that on the website from a large online retailer, the movie received an overall rating of 3.5 stars.

Which of the following, if true, represents selection bias?

1.Ratings and reviews for the movie where all submitted volunteerly to the online retailer's website

2.Amy reviews and equal number of different stars rating to get a sense of what all views thought about the movie.

3.Every person who rented the movie from the online retailer gave it a rating and review.

4.Amy only read some one star reviews to make a decision on whether or not to rent the movie

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Answer:

I mean I would say your response is pretty good if I was looking from your perspective...

Step-by-step explanation:

Of course everyone has their own favorite subject but I can clearly see why that subject inspires you... so all I can say is it’s good... ;)

By the end of week 52, Westway Company deducted $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

To calculate the deductions made by Westway Company, we'll need to consider the Social Security and Medicare taxes.

Social Security tax:

The Social Security tax rate is 6.2% on income up to $142,800.

Since Suzle Chan earns $3,220 per week, their annual income is $3,220 * 52 = $167,440.

However, the maximum taxable income for Social Security is $142,800.

Therefore, the Social Security tax deduction is $142,800 * 0.062 = $8,857.60.

Medicare tax:

The Medicare tax rate is 1.45% on all income.

The Medicare tax deduction is $167,440 * 0.0145 = $2,426.48.

By the end of week 52, Westway Company would have deducted a total of $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

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The required C matrix is as follows,C = [ 4/3 0 0 -2√3/3 0 0 ; 0 0 0 0 1 0 ].

Given information:There exists a 2 x 6 matrix C satisfying ker(C)= im(projv).Let V be the subspace of R4 spanned by the three vectors4 6 8 02 V₁ = V₂ = 0-2 0 √3 = 00 0 1It is required to find a 2 x 6 matrix C satisfying ker(C)= im(projv).

Formula used:If A is an m x n matrix then, ker(A) = Nul(A) = {x | Ax = 0 } (nullspace) andim(A) = { Ax | x  Є Rⁿ } (column space)By the rank-nullity theorem, rank(A) + dim(ker(A)) = nAlso, rank(A) = dim(col(A)).

Let us consider the three vectors as column vectors of matrix A of size 4 x 3 as follows,

A = [ 4 0 0 -2 ; 6 0 0 0 ; 8 0 0 √3 ; 0 0 1 0 ].

The rank of matrix A is 3, the column space is a subspace of R4, so the dim(col(A)) = 3, thus the dim(ker(A)) = 4 - 3 = 1.Now, we need to find a matrix C of size 2 x 6 such that ker(C) = im(projv) since dim(ker(C)) = dim(im(projv)), we need to first find the matrix of the projection of R⁴ onto V.

The projection of R⁴ onto V is defined as P = A ( Aᵀ A )⁻¹ AᵀUsing the given A matrix, we getP = [ 4/3 0 0 -2√3/3 ; 0 0 0 0 ; 0 0 0 √3/3 ].

Therefore,im(projv) = { Pv | v  Є R⁴ }ker(C) = { x | Cx = 0 }We need ker(C) = im(projv) therefore the columns of matrix C should be the basis for im(projv).

Thus the required C matrix is,C = [ 4/3 0 0 -2√3/3 0 0 ; 0 0 0 0 1 0 ]The main answer is:C = [ 4/3 0 0 -2√3/3 0 0 ; 0 0 0 0 1 0 ] is a 2 x 6 matrix satisfying ker(C) = im(projv).

The projection of R⁴ onto V is defined as P = A ( Aᵀ A )⁻¹ Aᵀ.Using the given A matrix, we get P = [ 4/3 0 0 -2√3/3 ; 0 0 0 0 ; 0 0 0 √3/3 ]. Therefore,im(projv) = { Pv | v  Є R⁴ }. ker(C) = { x | Cx = 0 }.

Therefore, the columns of matrix C should be the basis for im(projv). Hence, the required C matrix is as follows,C = [ 4/3 0 0 -2√3/3 0 0 ; 0 0 0 0 1 0 ]Conclusion:Therefore, C = [ 4/3 0 0 -2√3/3 0 0 ; 0 0 0 0 1 0 ] is a 2 x 6 matrix satisfying ker(C) = im(projv).

Therefore, C = [ 4/3 0 0 -2√3/3 0 0 ; 0 0 0 0 1 0 ] is a 2 x 6 matrix satisfying ker(C) = im(projv).

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Unit walking rate in miles per hour = 5 2/3 / 2 2/3 = 17/3 / 8/3 = 17/3 x 3/8 = 17/8 = 2 1/8 miles per hour.

Unit walking rate in hours per mile = 1/ 17/8 = 8/17 hours per mile.

~you did not write the question properly but i guess this your needed answer

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

Answer:

The equation for the variation is:

\(\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}\)

Step-by-step explanation:

The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

\(\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}\)

(a) The Inverse Laplace transform is -2\(e^{-3t}\) + 2cos(3t) - (1/3)sin(3t) (b) The Inverse Laplace transform is \(e^{-t/3} - e^{-t}\) (d) The Inverse Laplace transform is (7/2)t² (e) The Inverse Laplace transform is \(3e^{-2t/5}\)

To determine the inverse Laplace transforms of the given functions, we'll use various methods such as partial fraction decomposition and known Laplace transform pairs. Let's calculate the inverse Laplace transforms for each case:

(a) Inverse Laplace transform of (2s² - 5s - 1)/((s + 3)(s² + 9)):

First, we need to perform partial fraction decomposition:

(2s² - 5s - 1)/((s + 3)(s² + 9)) = A/(s + 3) + (Bs + C)/(s² + 9)

Multiplying both sides by (s + 3)(s² + 9), we get:

2s² - 5s - 1 = A(s^2 + 9) + (Bs + C)(s + 3)

Expanding and equating coefficients:

2s² - 5s - 1 = (A + B)s² + (3B + A)s + (9A + 3C)

Comparing coefficients, we find:

A + B = 2

3B + A = -5

9A + 3C = -1

Solving these equations, we get A = -2, B = 4, and C = -1.

Now, we can rewrite the function as:

(2s² - 5s - 1)/((s + 3)(s² + 9)) = -2/(s + 3) + (4s - 1)/(s² + 9)

Taking the inverse Laplace transform of each term using known pairs, we have:

Inverse Laplace transform of -2/(s + 3) = -2\(e^{-3t}\)

Inverse Laplace transform of (4s - 1)/(s² + 9) = 2cos(3t) - (1/3)sin(3t)

Therefore, the inverse Laplace transform of (2s² - 5s - 1)/((s + 3)(s²+ 9)) is:

-2\(e^{-3t}\) + 2cos(3t) - (1/3)sin(3t)

(b) Inverse Laplace transform of 1/(3s² + 5s + 1):

We can use the quadratic formula to factorize the denominator:

3s² + 5s + 1 = (3s + 1)(s + 1)

Using known pairs, the inverse Laplace transform of 1/(3s + 1) is \(e^{-t/3}\) and the inverse Laplace transform of 1/(s + 1) is \(e^{-t}.\)

Therefore, the inverse Laplace transform of 1/(3s² + 5s + 1) is:

\(e^{-t/3} - e^{-t}\)

(d) Inverse Laplace transform of 7/(s³):

Using known pairs, the inverse Laplace transform of 1/sⁿ is (tⁿ⁻¹)/(n-1)!, where n is a positive integer.

Therefore, the inverse Laplace transform of 7/(s³) is:

7(t³⁻¹)/(3-1)! = 7t²/2 = (7/2)t²

(e) Inverse Laplace transform of 3/(5s + 2):

Using known pairs, the inverse Laplace transform of 1/(s - a) is \(e^{at}\).

Therefore, the inverse Laplace transform of 3/(5s + 2) is:

\(3e^{-2t/5}\)

The complete question is:

Determine the inverse Laplace transforms of:

(a) (2s² - 5s - 1)/((s + 3)(s² + 9))

(b) 1/(3s² + 5s + 1)

(d) 7/(s³)

(e) 3/(5s + 2)

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Answer:

60x24

Step-by-step explanation:

60x24=1224

The symbol that represents the dependent variable in a regression equation is:

a. y

The dependent variable is the variable that is being predicted or explained by the independent variable(s) in the regression analysis. It is typically represented by the symbol "y" in the regression equation. The independent variable(s) are usually represented by the symbol "x" or other appropriate letters.

In a regression equation, the dependent variable is the variable that we are trying to predict or explain based on the independent variable(s). It is the variable whose value is influenced or determined by the independent variable(s). For example, if we are studying the relationship between income (dependent variable) and education level (independent variable), we want to understand how education level affects or predicts income. In this case, income would be represented by the symbol "y" in the regression equation, as it is the variable we are interested in explaining or predicting. The independent variable(s), such as education level, would be represented by the symbol "x".

Therefore, the correct answer is option a. y.

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