Questions
prove that a translation is an isometry "i want the prove by using a parallelogram and...

prove that a translation is an isometry
"i want the prove by using a parallelogram and proving that the two side are congruent please"

In: Advanced Math

Multivariate analysis Using the data provided, perform the following analysis: Determine the explanatory and response variables....

Multivariate analysis

Using the data provided, perform the following analysis:

  • Determine the explanatory and response variables.
  • Run a multivariate regression analysis on all three variables.

Interpret the results by answering the following questions:

  • What is the calculated correlation coefficient? Do the sales figures correlate with the marketing expenditure and price?
  • Comment on the coefficient of determination. What percentage of the response data can be explained by the explanatory variables?
  • Determine the multiple regression line equation in the form:

sales^ = (intercept) + (coefficient)× marketing + (coefficient)× price

  • Using the regression equation formulated, what is the amount of expected sales (in pounds), if the price is set at £3.50 and the amount spent on marketing is £300?
  • Interpret the variables in the regression equation. What impact does each of the factors (marketing and price) have on the sales figures?
Total sales Marketing Price
£    1,500.00 £       330.00 £           3.50
£    1,354.00 £       270.00 £           3.75
£    1,489.00 £       320.00 £           3.50
£    1,347.00 £       280.00 £           3.90
£    1,321.00 £       260.00 £           4.00
£    1,245.00 £       240.00 £           4.20
£    1,589.00 £       325.00 £           3.50
£    1,632.00 £       340.00 £           3.30
£    1,485.00 £       320.00 £           3.40
£    1,420.00 £       300.00 £           3.70

In: Advanced Math

What is the last digit of 123456789012345678×609 in base 6. Don’t try to compute the product.

What is the last digit of 123456789012345678×609 in base 6. Don’t try to compute the product.

In: Advanced Math

30r+45d 10r+15d≤1800 20r+25d≤2500 6r+15d≤1500 s.t. a) Use the Graphical Solution Method to solve the linear programming...

30r+45d

10r+15d≤1800

20r+25d≤2500

6r+15d≤1500

s.t.

a) Use the Graphical Solution Method to solve the linear programming problem (label all functions, corner point points, and axis).

r≥50
2d-1r ≥0
r,d≥0 or all variables non-negative

In: Advanced Math

7. Let E be a finite extension of the field F of prime characteristic p. Show...

7. Let E be a finite extension of the field F of prime characteristic p. Show that the
extension is separable if and only if E = F(Ep).

In: Advanced Math

let E be a finite extension of a field F of prime characteristic p, and let...

let E be a finite extension of a field F of prime characteristic p, and let K = F(Ep)
be the subfield of E obtained from F by adjoining the pth powers of all elements of
E. Show that F(Ep) consists of all finite linear combinations of elements in Ep with
coefficients in F.

In: Advanced Math

Let A = {r belongs to Q : e < r < pi} show that A...

Let A = {r belongs to Q : e < r < pi} show that A is closed and bounded but not compact

In: Advanced Math

Let α ∈ C be a root of x^2 + x + 1 ∈ Q[x]. For...

Let α ∈ C be a root of x^2 + x + 1 ∈ Q[x]. For γ = 3 + 2α ∈ Q(α), find γ^ −1 as an element of Q(α).

Let a = 3 + 2(2^(1/3)) + 4^(1/3) and b = 1 + 5(4)^(1/3) belong to Q( 2^(1/3)). Calculate a · b and a −1 as elements of Q( 2^(1/3)).

In: Advanced Math

The data set cherry.csv, from Hand et al. (1994), contains measurements of diameter (inches), height (feet),...

The data set cherry.csv, from Hand et al. (1994), contains measurements of diameter (inches), height (feet), and timber volume (cubic feet) for a sample of 31 black cherry trees. Diameter and height of trees are easily measured, but volume is more difficult to measure.

(i) Suppose that these trees are a SRS from a forest of N = 2967 trees and that the sum of the diameters for all trees in the forest is tx = 41835 inches. Use ratio estimation to estimate the total volume for all trees in the forest. Give a 95% CI.

(ii) Estimate the average timber volume and construct the 95% CI.

"Diam","Height","Volume"
8.3,70,10.3
8.6,65,10.3
8.8,63,10.2
10.5,72,16.4
10.7,81,18.8
10.8,83,19.7
11,66,15.6
11,75,18.2
11.1,80,22.6
11.2,75,19.9
11.3,79,24.2
11.4,76,21
11.4,76,21.4
11.7,69,21.3
12,75,19.1
12.9,74,22.2
12.9,85,33.8
13.3,86,27.4
13.7,71,25.7
13.8,64,24.9
14,78,34.5
14.2,80,31.7
14.5,74,36.3
16,72,38.3
16.3,77,42.6
17.3,81,55.4
17.5,82,55.7
17.9,80,58.3
18,80,51.5
18,80,51
20.6,87,77

In: Advanced Math

Let W be a subspace of Rn. Prove that W⊥ is also a subspace of Rn.

Let W be a subspace of Rn. Prove that W⊥ is also a subspace of Rn.

In: Advanced Math

Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 −2 5...

Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 −2 5 0 3 −2 0 −1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (λ1, λ2, λ3) = the corresponding eigenvectors x1 = x2 = x3 =

In: Advanced Math

Find all the six roots of z = 16−16 sqrt (3i).

Find all the six roots of z = 16−16 sqrt (3i).

In: Advanced Math

find a linear combination for gcd(259,313). use extended euclidean algorithm. what is inverse of 259 in...

find a linear combination for gcd(259,313). use extended euclidean algorithm.

what is inverse of 259 in z subscript 313?

what is inverse of 313 in z subscript 259?

In: Advanced Math

Mitch and Bill are both age 75. When Mitch was 25 years old, he began deposited...

Mitch and Bill are both age 75. When Mitch was 25 years old, he began deposited $1400 per year into a savings account. He made deposits for the first 10 years, and which point he was forced to stop making deposits. However he left his money in the account, where it continued to earn interest for the next 40 years. Bill didn’t start saving until he was 45 years old, but for the next 30 years he made annual deposit of $1400. Assume that both accounts earned an average annual return of 6% compounded once a year. Complete parts a through d below.
A. how much money does Mitch have in his account at age 75?
( round to the nearest cent as needed )
B. how much money does Bill have in his account at age of 75?
C. compare the amounts of money that Mitch and Bill deposit into their accounts
D. draw a conclusion about this parable

In: Advanced Math

prove that for x is an odd, positive integer, 3x ≡−1 (mod 4). I'm not sure...

prove that for x is an odd, positive integer, 3x ≡−1 (mod 4). I'm not sure how to approach the problem. I thought to assume that x=2a+1 and then show that 3^x +1 is divisible by 4 and thus congruent to 3x=-1(mod4) but I'm stuck.

In: Advanced Math