Numerade

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In a study of helicopter usage and patient survival, among the 52,858 patients transported by helicopter, 196 of them left the treatment center against medical advice, and the other 52,662 did not leave against medical advice. If 50 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left the treatment center against medical advice? The probability is (Round to three decimal places as needed.)

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2. (10 pts)What is the total potential energy of the electron-proton system in the shown figure? The electrons are fixed and cannot move.

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Question 1 (1 point) The value of f'(a) is the slope of the ______ line to the graph of f(x) at the point (a,f(a)).

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Q1 (30 pts) a) (10 pts) Explain how the pressure and the volume as well as the pressure and the temperature are related according the ideal gas law. b) (10 pts) 2 liters of a gas is under a temperature of 50°C. What will be its volume at standard temperature, with the pressure remaining constant? c) (10 pts) A 1 m³ steel cylinder contains gas at 10 bar. What will be the final volume of the gas cylinder if the cylinder got heated from 25°C to 30°C.

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The table shows information about the lengths of time, in minutes, it took some pupils to do their maths homework last week. Frequency Length of time (t) 0 < t ? 10 5 10 < t ? 25 24 25 < t ? 30 12 30 < t ? 50 8 Draw a histogram for the information in the table.

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For full credit, you must show all work and box answers (where appropriate). 1. (Section 16.1) Evaluate the double integral over the region R by converting it to an iterated integral. $\iint_R 9\sqrt{xy} dA$; $R = \{(x,y)| 0 \le x \le 4, 1 \le y \le 4\}$

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A solid cube of mass 28 kg and edge length 1.2 m rests on a horizontal floor as shown in the figure. A person then pushes on the upper edge of the cube. Assume the force F is applied at the corner of the cube at an angle of ? = 15° above the horizontal direction. At what magnitude of F will the crate begin to tip? Assume the frictional force from the floor is large enough to prevent the cube from sliding.

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$\int \tan x \, dx$ \newline $= \int \frac{\sin x}{\cos x} \, dx$ \newline $u = \sin x$

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Question: Assume that social intelligence, measured on a scale of 1 to 10, is normally distributed in a population. A sample of 12 randomly selected participants is drawn. If one is asked to guess the social intelligence scores of those 12 individuals, which of these is a reason why the best strategy would be to guess the population mean every time? A. The sample will be bimodal; thus, the mean is the least extreme value. B. The middle value is the unique value that can be chosen. C. Guessing the middle value will allow for smaller errors on average. D. The score at the midpoint has half the error of the other possible values.

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Faster, please. 5) A plane stress problem with two constant strain elements is given as shown below. 60 kPa E = 200 GPa, v = 0.25, t = [O cm 81 1 m Fig: P45 Develop global stiffness matrix, K. Solve for displacements. Solve for internal strains and stresses.

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jerry z.