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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. [4 (cos 120° + i sin 120°)]^2

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Let X represent the full length of a certain species of newt. Assume that X has a normal probability distribution with mean 19.4 inches and standard deviation 3 inches. You intend to measure a random sample of n = 219 newts. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. $\mu_{\bar{x}} =$ $\sigma_{\bar{x}} =$

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Direct eye contact, vocal encouragers, and silence are examples of... Internal characteristics of active listening Clinical interviewing Paraphrasing External characteristics of active listening

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An article reports the use of a Latin square design to investigate the effect of shelf space (factor C) on food sales. The experiment was carried out over a 6-week period (factor B) using six different stores (factor A), resulting in the following data on sales of powdered coffee cream (with shelf space index in parentheses): Week 1 2 3 4 5 6 1 28 (5) 14 (4) 18 (3) 35 (1) 28 (6) 23 (2) 2 34 (6) 31 (5) 34 (4) 46 (3) 37 (2) 29 (1) 3 39 (2) 65 (6) 31 (5) 50 (4) 38 (1) 48 (3) Store 4 40 (3) 59 (1) 39 (2) 70 (6) 36 (4) 50 (5) 5 14 (4) 15 (3) 11 (1) 9 (2) 18 (5) 15 (6) 6 16 (1) 16 (2) 14 (6) 12 (5) 19 (3) 22 (4) Construct the ANOVA table, and state and test at level 0.01 the hypothesis that shelf space does not affect sales against the appropriate alternative. (Round your answers to two decimal places.) Source df SS MS f F0.01 A B C Error Total State the appropriate hypotheses. Hoc: 81=82= ... = 86 = 0 Нас: по бк = 0 Hoc: 8182 * ... * 86 * 0 Hac: at least one δκ = 0 Hoc: 81=82=... = 86 = 0 Hac: at least one 8 ≠ 0 Hoc: 8182... * 86 * 0 Hac: all 8's = 0

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Organic Medical has operating cash flow of $218. A net total of $69 was paid on long-term debt. Depreciation is $45 and interest paid is $35. The firm spent $180 on fixed assets and increased net working capital by $38. What is the amount of the cash flow to stockholders? (Show all calculations for full credit.)

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What is a cross-validation study? (A) Examining the correlation between two variables by crossing it with a t-test. When determining the significance of a regression equation (B) by testing it on a different sample than from which the regression was created. (C) Validating a study by crossing it with other studies. (D) Validating a statistical analysis by using both p value and critical value to determine significance.

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Two asteroids strike head-on: before the collision, asteroid A ($m_A = 8.2 \times 10^{12}$ kg) has velocity 3.3 km/s and asteroid B ($m_B = 1.39 \times 10^{13}$ kg) has velocity 1.4 km/s in the opposite direction. Part A If the asteroids stick together, what is the magnitude of the velocity of the new asteroid after the collision? Express your answer to two significant figures and include the appropriate units. Part B If the asteroids stick together, what is the direction of the velocity of the new asteroid after the collision? in the original direction of asteroid A in the original direction of asteroid B

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Design a driveshaft for an automobile. Specifically, there are five design criteria that must be met: (1) The shape constraint is that the materials must be able to be fabricated into the length and diameter requirements of the driveshaft, which are variable, depending on the size of the vehicle. (2) The static torque, critical rotational speed, and twist rate of a typical driveshaft must be met, which are variable, depending on the size of the vehicle. (3) The material must meet the maximum and minimum service temperatures of the driveshaft, which are typically -40 to 1300°C. (4) The driveshaft must resist environmental degradation - for example, humidity, engine oil, road salt. (5) The driveshaft must be resistant to impact.

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The texts are as follows: e e pl go find C. nd Po respectively 020.10d.131.0410 and 26 b83.S16md.1.31.0410xnd16% c0.716.3110119d26 1.7616m.131.0.510ad30 The system of the following figure is

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A B. C D H Figure 21-3 21-3. A B C D E E F. G. H. (continues)

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