Numerade

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Given a vector of binary classification instances and the corresponding probability values created by a classification model, calculate the F1 score of the model if the threshold is set to 0.55. actual <- c(1, 0, 1, 1, 0, 0, 1, 0, 1, 1) predicted_prob <- c(0.78, 0.34, 0.65, 0.83, 0.45, 0.30, 0.70, 0.50, 0.92, 0.80) Hint: • Convert the predicted probabilities to binary predictions using a threshold of 0.55.

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Question 7 a) write down the definition of a subset $A \subseteq M$ of a metric space $M$ being compact. b) Prove that if $A = \{a\}$ for some $a \in M$, then A is compact.

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Explain why steam (gaseous water at 100\deg C) will cause a more severe burn that liquid water at the same temperature. In your response, be sure to provide a molecular level causal explanation. (Try your best, this question is meant to make you think.)

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Demand: P = 21 - 0.1QD Marginal Revenue (MR): P = 21 - 0.2QD Marginal Cost (MC): $1.00

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--- involves undertaking an activity until its marginal benefits equal marginal costs. Scarcity reduction Market intervention Marginal analysis Central planning

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Problem 3 (30 points) Sketch the Bode plot for $G(s) = \frac{0.1(s+10)}{s+1}$. What is magnitude (in dB) and phase (degree) of G(s) at low and high frequencies? To sketch the Bode plot use two tables for magnitude and phase slope of G(s).

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7. (30 points) For the resistor network shown, $V_b = 12.0 V$ $R_1 = 40.0 \Omega$ $R_2 = 20.0 \Omega$ $R_3 = 30.0 \Omega$ $R_4 = 60.0 \Omega$ (a) Find the total resistance of the network. (b) Find the current that flows through each resistor. (c) Find the potential difference across each resistor.

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Determine the type of machine below 1 1. 1. Moore Machine 2 -Clock 3 4 2. 3. 4. 3. Moore Machine 4. Mealy Machine 2. Mealy Machine

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Based on the historical history of the low value of the role of people with intellectual disabilities in society, the ability of individuals and society In terms of both tolerance and the idea of "doing as much as possible" we are forced to take a "We'll do as much as possible" approach, explain the points to be noted in education and welfare.

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Alexa recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Eighth Grade Students Instrument # of Students Instrument # of Students Guitar 13 Guitar 3 Bass 10 Bass 8 Drums 10 Drums 8 Keyboard 2 Keyboard 6 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than keyboard as a fraction in simplest form.

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