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encarnacion ramirez

encarnacion r.

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In the twin paradox, the important difference between the reference frame of the stay-at-home twin and the reference frame of the traveling twin is that the traveling twin

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\theta X (1,-1) ? sin(\theta) = cos(\theta) = tan(\theta) = csc(\theta) = sec(\theta) = cot(\theta) =

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Task 1 Let us assume we developed a machine learning model to predict which patients on dialysis will be admitted to the hospital in the next week. Given 100 patients, we have the following break-down: \begin{itemize} \item True Positives: people that are hospitalized that you predict will be hospitalized \item True Negatives: people that are NOT hospitalized that you predict will NOT be hospitalized \item False Positives: people that are NOT hospitalized that you predict will be hospitalized \item False Negatives: people that are hospitalized that you predict will NOT be hospitalized \end{itemize} Calculate the performance metrics in the table below: Actual Confusion Matrix Hospitalized Not Hospitalized Hospitalized 33 10 Predicted Not Hospitalized 17 40 Recall (Sensitivity) Specificity Accuracy Precision Task 2 Try K-NN classifier for dataset provided in for different numbers of neighbours (K = 3 and K = 7). Which K provides better results? Justify your answer by using AUC of ROC curve. Also provide the relevant performance metrics such sensitivity, etc. Task 3 The scrip also retunes a value called 'f1_score'. Do some research to understand what this measure is. Repeat task-2 and this time justify your answer using f1_score. Do you arrive at the same conclusion?

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We have an existing 200A spare switch on a 277/480V board with plenty of capacity. I would like to use this spare switch and feed a new 277/480V panelboard, which will then step down to a new 120/208V panel via a transformer. What size options are reasonable for my new 277/480V panelboard and 120/208V panel? What size would my step-down transformer be? Thank you in advance!

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Give the derivative of $s(t) = \frac{\sin(2\pi t)}{2\pi t}$ Give the integral of $s(t) = 20 \cos \left(20\pi t + \frac{\pi}{3} \right)$ Give the integral of $s(t) = 2 \cos(20\pi t)\cos(200\pi t)$ Give the integral of $s(t) = 2t e^{j200\pi t}$

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15) Draw the structures of the hydrates of the following compounds: (a) cyclopentanone (b) 3-methylpentanal

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A carpenter wishes to make a rain gutter with a rectangular cross-section by bending up a flat piece of metal that is 18 feet long and 44 inches wide. The top of the gutter is open. What values of $x$, length of metal bent up, will give a cross-sectional area of at most 50 square inches? Round your answer to three decimal places. Select one: a. $(0, 1.202] \cup [21.798, 22)$ b. $(0, 2.202) \cup (21.798, 22)$ c. $(0, 1.202] \cup [20.798, 22)$ d. $(0, 2.202) \cup (19.798, 44)$ e. $(0, 0.202) \cup (20.798, 44)$

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2. [35 p.) Consider a firm with production function $q = 6ln(L)$ where $L$ is the labour employed. This firm is a price taker at the output market and sells its output at price equal to 9 per unit. The firm is the only employer in the considered city. Suppose that there are two groups of workers that are looking for a job in this city: native workers (N) and immigrants (I). These groups have different labour supply functions: $L_N(w) = 2w$ and $L_I(w) = w$, where $w$ is per hour nominal wage rate. Assume that the firm owner can easily differentiate between the native workers and immigrants. (a) Suppose that the firm can discriminate between the groups and offer different per hour wage rates to the native workers and immigrants. Find the profit-maximizing wage rates and explain the result. (b) Suppose that the firm owner decided to modify the payment scheme. Under the new scheme, every worker is offered a contract. This contract specifies a fixed payment $T$ that this worker should pay for the possibility to get a job and per hour wage rate that the worker will get. Each worker either accepts the contract or rejects the contract. Assuming that the firm owner can offer different contracts to the native workers and immigrants, find the profit maximizing contracts. (c) Suppose that the new payment scheme described in (b) should be approved by the regulator that cares about social welfare measured by the total surplus. Should the regulator approve the new scheme? You should answer this question without any calculations/graphs.

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4. (15 p) Determine the roots of the simultaneous nonlinear equations \begin{cases} y = -x^2 + x + 0.75 \\ y + 5xy = x^2 \end{cases}. Use a graphical approach to obtain your initial guesses. Determine refined estimates with solver tool from Excel or a software package of your choice.

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Q: A conduction plane has a hemispherical boss of radius a is earthed and a point charge -q located \( \vec{y} \) relative to the center of the boss. Calculate the electric potential at P. (\( \theta \) is the angle between \( \vec{x} \) and \( \vec{y} \))

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