Numerade

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Let h be the permutation (1 4)(2 5 3) in S5, and let H be the cyclic subgroup of S5 generated by h.

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An ice skater is spinning on the spot. Initially she has her arms close to her body and then she puts her arms straight out away from her body. How do her angular momentum and angular velocity change during the spin? (Neglect friction)

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Evaluate the indicated partial derivatives. a. \[ z=9 x^{2} y-3 x^{5} y ; \quad \frac{\partial z}{\partial x}, \frac{\partial z}{\partial y} \] b. \[ \begin{array}{l} f(x, y)=\frac{1}{x y^{2}-x^{2} y} ; f_{x}(x, y), f_{y}(x, y) \\ z=\sin \left(5 x^{3} y+7 x y^{2}\right) ; \frac{\partial z}{\partial x}, \frac{\partial z}{\partial y} \end{array} \]

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(1 point) Suppose the number of TV's in a household has a binomial distribution with parameters n = 15, and p = 45%. Find the probability of a household having: (a) 4 or 7 TV's (Hint: What did we do in the previous module with "or" probabilities?) (b) 5 or fewer TV's (c) 8 or more TV's (d) fewer than 7 TV's (e) more than 5 TV's

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p<0.25 (b) Decide whether to reject or fail to reject the null hypothesis. Reject the null hypothesis. (c) Interpret the decision in the context of the original claim. There is enough evidence to support the college's claim that the proportion of students who commute more than fifteen miles to school is less than 25%. (d) Compute the p-value and interpret it. The p-value is less than 0.01, indicating that the results are statistically significant and provide strong evidence against the null hypothesis. (e) Find the critical value(s) and identify the rejection region. The critical value is less than -2.33, and the rejection region is in the left tail of the distribution. (f) Compute the value of the test statistic. The value of the test statistic is -3.118. (g) What is your conclusion regarding the null hypothesis? The null hypothesis is rejected.

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+10 V 1 k? 5.1 V V_ in 390 ? Red Green

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The following VARMA(1,1) model is weakly stationary: $\begin{pmatrix} x_{1t} \\ x_{2t} \end{pmatrix} - \begin{pmatrix} 0.25 & -1 \\ -0.5 & 0.5 \end{pmatrix} \begin{pmatrix} x_{1,t-1} \\ x_{2,t-1} \end{pmatrix} = \begin{pmatrix} a_{1t} \\ a_{2t} \end{pmatrix} - \begin{pmatrix} 0.5 & -1 \\ -0.25 & 0.5 \end{pmatrix} \begin{pmatrix} a_{1,t-1} \\ a_{2,t-1} \end{pmatrix}$ True False

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7:22 00 LTE < Back BBAF404 TAKE HOME EXAM.pdf should not exceed 300 words. (3marks) ii. You are required to provide an independent assessment of the potential impact of the Coronavirus on three types of financial institutions in Ghana, Universal Banks, Insurance and Pensions Companies, and Finance Companies. Your assessment should first simply classify the exposure of the three types of financial institutions (Universal Banks, Insurance and Pensions Companies, and Finance Companies) in Ghana to five different types of risks, liquidity risk, credit risk, interest rate risk, market risk and exchange rate risk as "Low", "Moderate" or "High". For each of the three financial institutions (Universal Banks, Insurance and Pension Funds, and Finance Companies) you are to fill out the table below. (Three tables are required. One for the assessment of each institution). Universal Banks 1. Liquidity Risk 2. Credit Risk 3. Interest Rate Risk 4. Interest Rate Risk 5. Exchange Rate Risk Insurance and Pensions Funds 1. Liquidity Risk 2. Credit Risk 3. Interest Rate Risk 4. Interest Rate Risk 5. Exchange Rate Risk Low Moderate High Low Moderate High Finance Companies Low Moderate High 1. Liquidity Risk 2. Credit Risk 3. Interest Rate Risk 4. Interest Rate Risk 5. Exchange Rate Risk (Smarks) For every institutional assessment you provided in (ii) you are to give reasons for the assessment. Each reason or explanation should not exceed 400 words. (12marks)

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The four bar linkage is moving with $w_{CD} = 12$ rad/s counter clockwise. The angular velocity of link BC is: Select one: a. 17.82 rad/s b. 5.94 rad/s c. 14.85 rad/s d. 11.88 rad/s

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The equation of a wave on a string is given by the displacement y of a point at coordinate x y(x,t) = 11m sin(59T) T 29 m where m and s are SI units. Find the wavelength. A) 29 m B) 59T 50 58 2. Corrected_text: The particle displacement of a medium with wave given by the equation y(x,t) = (2m/T)sin[T(x/m-4t/s)] where m and s are SI units. At t = 5.1 s, the speed of a particle at x = 12.2 m is A) 5.825 m/s B) 1.375 m/s C) 6.149 m/s D) 6.472 m/s E) 14.886 m/s 3. Corrected_text: Two sound levels differ by 35 dB. The ratio of the intensity of the louder sound IL and the softer sound Is is IL/Is. The value of the ratio is A) 6324 B) 66 C) 9486 D) 3162 E) 33 4. Corrected_text: A locomotive travels at 65 km/h is blowing its whistle at 460 Hz as it crosses a level crossing. You are waiting at the crossing and hear the pitch of the whistle change as the train passes you. The sound you hear changes from a frequency of ... to a frequency of .... (Take the speed of sound to be 344 m/s.) A) From 484 Hz to 436 Hz B) From 436 Hz to 511 Hz C) From 485 Hz to 437 Hz D) From 437 Hz to 485 Hz E) From 511 Hz to 414 Hz

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brittany a.