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The stomach is protected by a thick layer of mucus that coats the stomach lining. This mucus contains bicarbonate, which neutralizes acid near the stomach wall, preventing it from being digested by gastric juice. Additionally, the stomach lining regenerates quickly, which helps repair any minor damage.

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Let X equal the number of knots in each 100 meters of yarn. Assume that X has a Poisson distribution with mean 2.5. Let W equal the amount of meters before the first knot is found. (a) Give the mean number of knots per meter. (b) What is the probability distribution function of W ? (c) Give the mean and variance of W. (d) Find i. P(W <= 20) ii. P(W > 40) iii. P(W > 60|W > 20)

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Diane Bruns is the mayor of a large city. Lately, she has become concerned about the possibility that large numbers of people who are drawing unemployment checks are secretly employed. Her assistants estimate that 40% of unemployment beneficiaries fall into this category, but Ms. Bruns is not convinced. She asks one of her aides to conduct a quiet investigation of 10 randomly selected unemployment beneficiaries. a) If the mayor’s assistants are correct, what is the probability that more than 8 of the individuals investigated have jobs? b) If the mayor’s assistants are correct, what is the probability that one or three investigated individuals have jobs?

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All angles measured from the positive x-axis \cdot Vector1 \textendash north of east \cdot Vector2 \textendash units due east $\vec{C} = \vec{A} + \vec{B}$ $\theta_A = \tan^{-1}\frac{A_y}{A_x} = ____$ $\theta_B = \tan^{-1}\frac{B_y}{B_x} = ____$ $C_x = A_x + B_x = ____$ $C_y = A_y + B_y = ____$ $|C| = \sqrt{C_x^2 + C_y^2} = ____$ $\theta_C = \tan^{-1}\frac{C_y}{C_x} = ____$ All angles measured from the positive x-axis \cdot Vector1 \textendash north of east \cdot Vector2 \textendash units due east $\vec{C} = \vec{A} + \vec{B}$ $\theta_A = \tan^{-1}\frac{A_y}{A_x} = ____$ $\theta_B = \tan^{-1}\frac{B_y}{B_x} = ____$ $C_x = A_x + B_x = ____$ $C_y = A_y + B_y = ____$ $|C| = \sqrt{C_x^2 + C_y^2} = ____$ $\theta_C = \tan^{-1}\frac{C_y}{C_x} = ____$

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This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to one decimal place.) A = 32.6°, a = 44.8 inches

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QUESTION 5 A department store has recorded the sales of the best selling can opener model during the last 6 months. Observed values of the can opener sales are: Period 1 2 3 4 5 6 Sales 18 22 26 33 28 30 Calculate the moving average forecast of length 3 for period 5. QUESTION 6 A department store has recorded the sales of the best selling can opener model during the last 6 months. Observed values of the can opener sales are: Period 1 2 3 4 5 6 Sales 25 22 26 33 28 30 Calculate Simple Exponential Smoothing forecast for period 7 with $\alpha$=0.4 and $F_6$=28.0

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Set A pages 47-52 Find 3,371+2,429. Use mental math Use the breaking apart strategy. Break apart 2,429 into 2,400 +29. Adding 3,371 + 29 is easy. 3,371+29=3,400 3,400+2,400=5,800 So, 3,371+2,429=5,800. Set B pages 53-58

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3. f(x) = -x (x + 5)$^2$ (x + 3) a) leading term b) x intercepts c) the intervals obtained when they are used to partition the number line d) Table of Signs Intervals Test Value f(x) = -x (x + 5)$^2$ (x + 3) Position of the curve relative to x- axis. e) Sketch the graph

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Use finite differences to determine whether each relation is linear, quadratic, or neither. X y -4 7 0 8 6 9 7 10

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3. 14, 6, -2,..., 27<sup>th</sup> term

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