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Question 3 Which of the following statements about Centroids is False? • The centroid of a cluster has always two coordinates, no matter how many features/dimensions we have in the data • The centroid does not have to be a point already existing in the data • The distance between clusters' centroids is used in the centroid linkage method to assess similarity between clusters • The centroid of a cluster can be thought of as the mean point of the cluster 0.5 pts

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Ms. Green is differentiating learning in her classroom. Using what you observed in the video, which of he following would you see students doing in her classroom? Select all that apply and then click Submit. Students are free to explore the content as they desire without guidance by or involvement with the teacher. Students must work together at the same pace in table groups. Students are expressing their learning in different ways. Student being assessed in a variety of ways so teachers can gauge student progress. Students self-directing their learning, they know what they need to do.

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Unproctored Placement Assessment Question 6 Graph the line. $y = \frac{1}{3}x + 2$

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How much thermal energy is generated by the brakes of a 29081672 kg train in causing the train to slow from 35.15 m/s to 14.66 m/s? Neglect any other forces that might also slow the train. Enter your answer in scientific notation.

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Consider the Directed Acyclic Graph below. W T Y X Assume that you are interested in the relationship between T and Y and that T only takes values of zero or one. What would happen if you chose to estimate this relationship by comparing the sample average of Y among observations where $T = 1$ to the sample average of Y among observations where $T = 0$? Using conditional expectations, write out the ideal comparison to identify the rela- tionship between T and Y.

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6. Interest and Mortgage Payment Write a program that calculates the cost of a mortgage. The program should prompt for the initial values for the principal amount, the terms in years, and the interest rate. The program should output the mortgage amount per month, and show the amounts paid towards the principal amount and the monthly interest for the first three years. Determine the principal amount after the end of the first three years. Use the following formula to calculate the mortgage payment: \frac{Principal \times MonthlyInterestRate}{(1 - (1/(1 + MonthlyInterestRate))^{Years \times 12})} Monthly Payment = Use the following input: a) Principal Amount: $250,000 Yearly Rate: 6% Number of Years: 30 b) Principal Amount: $250,000 Yearly Rate: 7.5% Number of Years: 30 c) Principal Amount: $250,000 Yearly Rate: 6% Number of Years: 15 d) Principal Amount: $500,000 Yearly Rate: 6% Number of Years: 30

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Explain briefly the basis of imposing Individual Taxes on Personal Incomes in the UK?

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Stocks: 50% of portfolio - Advanced Micro Devices, Inc. (AMD) Starting price: $30.9 Closing price: $29.94 50% of portfolio - Canopy Growth Corp (CGC) Starting price: $24.21 Closing price: $27.31 Compute the volatility of your portfolio Hint: it is easy to compute in matrix form in Excel. MMULT command. Check my Excel. Sigma2_p = w_T * Variance-covariance matrix * w (same formula that we use in question 2.2 in mock to final exam)

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Direction: Write a two-column proof to show congruence of angles and sides. 1. Given: DC \perp AB \overline{DC} bisects \angle BDA Prove: \angle A \cong \angle B \overline{BD} \cong \overline{AD} Proof: Statements Reasons 1. \angle BDC = \angle ADC 1. bisects 2. \angle BDC ____ \angle APC 2. Definition of _____ 3. _____ 3. _____ 4. _____ 4. Definition of _____ 5. _____ 5. _____ Property 6. _____ 6. _____ Congruence 7. _____ 7. _____

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Question 7 Let $f(x, y, z) = \frac{x^2 e^x \sin(x^2 y)}{12}$ find $\frac{\partial^3 f}{\partial y \partial x \partial z}$ at the point $(6, 0, 0)$ 6 12 4 8

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