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Find the probability of throwing a sum of 4 at least 2 times in 6 throws of a pair of fair dice.

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Question 2 1 pts A slab of material 1 rests on the surface of a slab of material 2. A light ray in material 1 has an angle of incidence of 30° on the interface between the materials, while the ray in material 2 has an angle of refraction of 45°. What is the critical angle of incidence for total internal reflection for a ray of light going from material 2 to material 1? In this case there is no critical angle. 45° 30° At least one of the indices of refraction or its equivalent is needed to solve this problem.

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While driving home after seeing a very intense, exciting action movie, Dennis is cut off by another driver. He pulls up alongside them screaming curses, and throws a half-empty cup of soda out his window at them. Dennis's aggressive outburst here is best explained by: terror management theory. the frustration-aggression hypothesis. excitation transfer theory. triggered displaced aggression.

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If a reduction in your income causes you to buy more pasts, your income elasticity for pasta would be: Equal to 0 Equal to 1 a positive number less than 1 A negative number

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Kyle has had diabetes for the past five years, is overweight, and manages his diabetes by attempting to eat healthier and taking daily medication. Kyle most likely has Question 33 options: A) Type 1 diabetes B) Type 2 diabetes C) Gestational diabetes D) Prediabetes

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Using the shifting property, to find the Laplace transform of $e^{2t} \cosh(at)$ you would replace $s$ in $\frac{s}{s^2 - a^2}$ with which gives $\mathcal{L}\{e^{2t} \cosh(at)\} =$ Note: Enter everything in terms of $s$

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Which lipoprotein helps to remove cholesterol from the cells and transport it back the liver for disposal ? VLDL LDL HDL all of the above

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9) Below is a regression line (line 1) that does not include point P, 9 P 5 2 0 2 10 11 12 a) If the regression line (line 2) is recalculated but this time including point P, will the slope of line 1 or line 2 be greater? Explain. b) Which of the two lines will have the larger y-intercept? No explanation needed. c) True or False. Point P is influential. d) True or False. Point P is a high leverage point. e) True or False. Point P is an outlier.

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Q2) Suppose you walk 13.5 m in a direction exactly $15^\circ$ south of west. You then walk 24.5 m in a direction exactly $43^\circ$ west of north. a. What is the x-component of the displacement in meters of your motion when you are walking south of west? Let east be the positive x direction b. What is the y-component of the displacement of your motion in meters when you are walking south of west? Let north be the positive y direction c. What is the x-component of the displacement of your motion in meters when you are walking west of north? Let east be the positive x direction. d. What is the y-component of the displacement of your motion in meters when you are walking west of north? Let north be the positive y direction. e. How far, in meters, are you from your starting point? (10 points)

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What characterizes executive functioning and critical thinking? What evidence supports your answer?

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robert j.