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$\sum_{k=1}^{n} k = \frac{n(n+1)}{2}$ $\sum_{k=1}^{n} 2k = n(n+1)$ $\sum_{k=1}^{n} k^2 = \frac{n(n+1)(2n+1)}{6}$ $\sum_{k=1}^{n} 2k - 1 = n^2$ $\sum_{k=1}^{n} k^3 = \frac{n^2(n+1)^2}{2}$ $\sum_{k=1}^{n} c = cn$ $\sum_{k=1}^{n} c \cdot a_n = c \sum_{k=1}^{n} a_n$ $\sum_{k=1}^{n} (a_n \pm b_n) = \sum_{k=1}^{n} a_n \pm \sum_{k=1}^{n} b_n$ (a) $\sum_{k=1}^{15} (2k^3 - k)$ (b) Sum of all odd integers from 31 to 201.

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Equal treatment theory is also called sameness theory or liberal feminism. O True O False

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The manager of a 60-unit apartment complex is trying to decide what rent to charge. Experience has shown that at a rent of $750 all of the units will be full. On the average, one additional unit will be vacant for each $25 increase in rent. Answer parts (a) through (e) below. (a) Let x represent the number of $25 increases. Find an expression for the rent for each apartment. The rent for each apartment is given by 750 + 25x (Do not include the $ symbol in your answer.) (b) Find an expression for the number of apartments rented. The number of apartments rented is given by 60 - x

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Inventory records for Atco Incorporated revealed the following: Number Unit Total Date Transaction of Units Cost Cost March 1 Beginning inventory 200 $3.50 $700 March 20 Purchase 300 3.00 $900 March 21 Purchase 50 3.20 $160 $1,760 Atco sold 400 units of inventory during the month and had ending inventory of 150 units. Cost of goods sold under the weighted-average cost method would be:

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A lossless line of impedance 75 Î© is terminated by a load of 92 + j49 Î©. Calculate the maximum wave impedance. Give your answer in Î© with one decimal place and no unit.

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***Please Show All The Steps*** Resonators are an important component in microwave circuits. Find: (a) the 4 lowest order modes (b) frequencies in an air filled rectangular metal box resonator with the dimensions 4cm x 5cm x 2cm .

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(5 marks) Data Analytics Consider the following scenario: A nancial institution keeps a record of past loans and whether the customer de- faulted. The nancial institution assigns you the task to analyse the records and determine the key types of clients that defaulted in their loans. Answer the following questions. (a) (1 mark) Is this an example of descriptive, diagnostic, predictive, or prescriptive analytics? Justify your answer. (b) (1 mark) Given the data that the nancial institution has, would you apply supervised machine learning or unsupervised machine learning? Justify your answer. (c) (3 marks) Explain the following steps in a Data Mining project and brie y explain how they should be adapted to the scenario. For each step, write between 3 and 5 sentences. 1. (1 mark) Explore, clean, and preprocess the data. 2. (1 mark) Reduce and partition the data. 3. (1 mark) Determine the data mining task and technique.

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2. Without using a calculator, find the values of the integers $a$ and $b$ for which the solution of the equation $x\sqrt{54} = x\sqrt{2} + \sqrt{6}$ is $\frac{a + \sqrt{b}}{26}$.

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6. The expression $(x-2)(x+1)(x-2)$ can be multiplied to get which of the following: a. $x^3 - 3x^2 + 4$ b. $x^2 - 3x + 4$ c. $x^3 - 2x^2 + 4$ d. $x^2 - 2x + 4$

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Bahagian A 1. Kotak mengandungi lima keping kad berlabel dengan huruf "B, I, J, A, K". Dua keping kad dikeluarkan secara rawak dari kotak satu demi satu tanpa pemulangan. Box Q contains five cards labelled with the letters "B, I, J, A, K". Two cards are taken out randomly one by one from box Q without replacement. BIJAK Kotak Q Hitung kebarangkalian mendapat kad pertama berhuruf vokal dan kad kedua berhuruf consonan Calculate the probability of getting the first card labelled with a vowel and the second card labelled with a consonant. [4 markah/marks] Jawapan/Answer:

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joshua v.