OK I have two data sets with 30 million rows each each data set is five columns with four attributes and an amount. I want to confirm that the two data sets are exactly the same no two rows of data in the 30 million rolls are duplicates

For my proof I will confirm each data set has the same number of rows. And I will also do the following:

I will create four smaller data sets from each of the two large data sets. Each of the smaller data sets will remove one of the four attributes

If each of those for data sets matches exactly and the total count matches is that proof that the two large data sets are exactly the same

The reason I am doing this test as I am not able to compare 30 million rows to 30 million rows because the set is too large for the tools I have available

QUESTION: If the four smaller data sets match exactly and the total row count matches exactly. Have I proved these the two 30 million row data sets are exactly the same l?

If I show (A and (B → C)) → D and (A and (C → B)) → D, can I conclude A → D?

1. You are given that the transition matrix PC,B from a basis B = {b1,b2,b3} to a basis C = {c1,c2,c3} is

1 −1 0 2

1 0 1 −1 001

1. (a) For the vector u = b1 + b2 + 2b3, compute [u]C, and from this write down u as a linear combination of the vectors in C.

2. (b) Calculate PB,C.

3. (c) Suppose

   c1 = (1,0,0), c2 = (1,2,0), c3 = (1,2,3).
   Compute PS,B where S is the standard basis, and from this read off the explicit form

   of the vectors b1, b2, b3.

Suppose r(t)=cos(πt)i+sin(πt)j+2tk represents the position of a particle on a helix, where z is the height of the particle. (a) What is t when the particle has height 8? (b) What is the velocity of the particle when its height is 8? (c) When the particle has height 8, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line.

Given stream depth (x-values) and flow (y-values) in the table below:

(a) Find the equation of the form: y = βo + β₁x + β₂x²that fits the data.

(b) Compare your answer in (a) to a loge transformation for both x and y.

(c) Compare your answers in (a) and (b) to a square root of y transformation.

(d) Specify the equation/ data transformation you would choose. Show all equations developed and R2 values. Provide the digital file for the software application used for this problem.

4. Two fair dices are rolled. Find the probability that sum of the numbers add to 7.

5. A survey of freshman at Fishtopia University indicated that 70% enjoy playing Oceanic Adventures while only 35% enjoy playing Fishmania. The survey also indicated that 15% enjoy playing both games. a) Complete the Venn Diagram by filling in all four regions with the appropriate percentage values. Make sure that all four regions add up to 100%. b) What is the probability that a random freshman likes neither of the two games? Express your answer as an exact decimal. c) What is the probability that a random freshman likes exactly one of the two games? Express your answer as an exact decimal.

6. Select 3 marbles at random from a jar with 6-blue, 4-green, and 3-red.[ hint: use combination only] (a) What is probability of selecting 2-blue and 1-red marble?

What is the difference between Standard Young Tableaux and Semi Standard Young Tableaux?

Find the volume V of a regular tetrahedron whose face is an equilateral triangle of side 8.

Find the area of the horizontal cross-section A at the level z=4.

Which of the following sets of polynomials form a basis for P2 (the space of polynomials of degree at most 2)? Explain. (a) {2 + 2x − x 2 , 1 + x, 3x} (b) {1 − x + 2x 2 , 2 + 4x} 1 (c) {3 + x + x 2 , −1 + x, 5 − x + x 2}

1. What is the difference between function and relation? Explain by giving example.

2. Find the domain and range of these functions.

1. the function that assigns to each pair of positive integers the first integer of the pair

            b) the function that assigns to each positive integer its largest decimal digit

c) the function that assigns to a bit string the number of ones minus the number of zeros in the string

d) the function that assigns to each positive integer the largest integer not exceeding the square root of the integer

e) the function that assigns to a bit string the longest string of ones in the string

The motion of a​ mass-spring system with damping is governed by y''(t) + by'(t) + 64 y(t) = 0; y(0) = 3, and y'(0) = 0.

Find the equation of motion for b = 0,14,16, and 20.

.

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) = 3, y'(0) = 6

Arrived at answer y(x)=3e^{-2x}+12xe^{-2x}+(15/2}x^2e^{-2x}+(5/6)x^3e^{-2x) by using variation of parameters but it was incorrect.

You've budgeted for yourself. Great. Now, let's budget for the business . I need a budget with an associated income plan to meet the expenses listed below. List each product/service you will need to provide at what cost in order to meet your annual budget. If you are a non-profit, you may have income from both sales (earned revenue) and fundraising (contributed revenue). Indicate how much of each you will have and be specific. You may have to adjust some of your expenses to make your revenue match. This may include adjusting some of your salaries from last week. Make sure you update your original salary file so that it matches your budget when you upload your completed business plan
Assignment: In Excel, calculate the following expenses for one year :

•Salaries ( from week 6): Include other costs of the employee as well including taxes and benefits •Facilities (from week 7)
•Office Supplies, Software, Products or supplies specific to your industry, etc.
•Taxes
•Marketing
•Fees or subscriptions to industry organizations or publications
•Any other expenses your business may have.

1. Solve using simplex method

2. motor homes express operates two trips between two cities along the coast. motor home A has 30 suites, 20 deluxe cabins and 60 regular cabins whereas motor home B has 15 suites, 30 deluxe cabins and 50 regular cabins. The cost for running motor home A for one trip is $240,000 and the cost for running motor home B for one trip is $350,000. The company estimates that there will be demand for at least 2400 suites, 2800 deluxe cabins and 6800 regular cabins during the season. How many trips should each motor home make to meet the demand and minimize the operating cost? What is the minimum cost?

3. A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 ln of phosphorus and 360 lb of potassium. If a 50- lb bag of Fertilizer A costs $30 and a 50-lb bag of Fertilizer B costs $20, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. What is the minimum cost?