Numerade

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This year, Amy purchased $2,100 of equipment for use in her business. However, the machine was damaged in a traffic accident while Amy was transporting the equipment to her business. Note that because Amy did not place the equipment into service during the year, she does not claim any depreciation or cost recovery expense for the equipment. After the accident, Amy had the choice of repairing the equipment for $2,540 or selling the equipment to a junk shop for $730. Amy sold the equipment. What amount can Amy deduct for the loss of the equipment?

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Which historical period brought the greatest increase in government involvement in the economy?

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Motor pathways are also called ascending pathways. True or False True False

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Problem 1 (12pts) Decision Tree Construction You want to figure out what makes people click on online advertisements, so you try a variety of different advertisements, and record user behavior in the following table, which is our training set. Advertisement Animated? Popup? Colorful? Clicked 1 Yes Yes No No 2 No Yes Yes No 3 No Yes No No 4 No No Yes Yes 5 Yes No Yes Yes 6 Yes No No Yes 7 No No Yes Yes 8 No No No No The middle three columns ("Animated", "Popup", "Colorful") are the features of each advertise- ment. The last column, "Clicked", is the label, specifying whether or not a user clicked on the advertisement. You want to predict the "Clicked" label for other advertisements not in this training set. (a) Which feature should you split on at the root of the decision tree to maximize the information gain? Write an expression for the information gain of the best split. (Your expression can contain logarithms and fractions). (b) Draw the decision tree that maximizes information gain at each split. Your drawing should include the leaves and the training points they store. (Do not include entropies or information gains). Stop splitting at pure nodes.

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Using the substitution u=9x^(2)+8, find the following indefinite integral. int (10x)/(sqrt(9x^(2)+8))dx= (Use C for the constant of integration.) Using the substitution u=9x2+ 8, find the following indefinite integral 10c dx V9x2+8 (Use C for the constant of integration.)

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The psychological impact of sexual harassment on women includes: a. Increased self-esteem b. Decreased job satisfaction c. Improved mental health d. Promotion opportunities

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Sam was considering buying a purse from Louis Vuitton. She saw that the price tag on the purse was $800 and found it to be very expensive. The sales associate informed her that the purse used to be priced at $1400 and was discounted this month. After learning this information, Sam felt that the $800 price tag was a good gain and bought it. This decision is an example of: Endowment Effect Availability Heuristic Mental Accounting Framing Effect Default/Status Quo Bias

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For a 4x5 matrix A=([1,2,0,2,1],[-1,-2,1,1,0],[1,2,-3,-7,2],[1,2,-2,-4,3]), compute the following (a) Basis and dimension (dim) of row space R(A) (b) Basis and dimension of column space C(A) (c) Basis and dimension of null space N(A) (d) Basis and dimension of null space of A^(T) (e) dim C(A)+dim N(A^(T)) (f) dim R(A)+dim N(A)

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Karen holds 2 $875 GIC earning 7.3 percent for three years.The interest on GIC A is compounded quarterly The interest on GIC B is compounded monthly Determine the total interest earned by each GIC at maturity Which GIC earns more interest and why Show work

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(1) Solve the following Recursive Sequence: $\begin{cases} x_{n+1} = x_n + (2n + 3), \\ x_0 = 1. \end{cases}$ HINT: Use the summation $\sum_{i=1}^n (2i - 1) = n^2.$

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