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7. An urn has 30 red and 20 blue balls. You draw n = 10 without replacement. P(at least 7 red) equals: $$ \sum_{x=7}^{10} \frac{\binom{30}{10-x} \binom{20}{x}}{\binom{50}{10}} $$ $$ \frac{\binom{30}{7}}{\binom{50}{10}} $$ $$ \sum_{x=7}^{10} \frac{\binom{30}{x} \binom{20}{10-x}}{\binom{50}{10}} $$ $$ \sum_{x=0}^{7} \frac{\binom{30}{x} \binom{20}{10-x}}{\binom{50}{10}} $$

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2. Imagine a room filled with a uniform magnetic field of magnitude 1.2 mT and pointing vertically downward. A proton with kinetic energy 5.3 MeV enters the room, moving horizontally from west to east. Calculate i. The deflecting force acts on the proton (2) ii. The acceleration produced by the deflecting force and (1) iii. Draw the direction of deflection. (2)

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This nervous system stimulates ejaculation in the male. ? somatic ? parasympathetic ? central ? sympathetic

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Gasoline vapor is injected into the cylinder of an automobile engine when the piston is in the expansion position. The temperature, pressure, and volume of the resulting gas-air mixture are 20ºC, 10^5 N/m^2, 240 cm^3, respectively. Next, the mixture is compressed adiabatically to a volume of 40 cm^3 with Cp = 7/2 R. Take into account that in the actual operation of an automobile engine, the compression is not quasi-static, although we make that assumption here. a) What are the pressure and temperature of the mixture after compression? b) How much work does the mixture do during compression? Discuss the sign of the work obtained.

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Assume the following information for a hypothetical economy in year 1: money supply = $600 billion; the long-term average annual growth rate of potential GDP = 3 percent; velocity = 5. Assume that the banking system initially has no excess reserves and that the reserve requirement is 10 percent. Also suppose that velocity is constant and that the economy initially is operating at its full-employment real output.

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Question 4. (4 points) The diagram in Figure 4 indicates in an equilibrium force system (no moving), which includes an object A with a mass of 5 kg and the object B with mass of 1 kg. It is assumed that the coefficient of static friction between the block A and the surface of the table is 0.30. Given $g = 9.8 \frac{m}{s^2}$ and $\alpha = 45^\circ$. a) Find the friction force exerted on block A. (2 pts) b) Find the maximum weight w of the block B for which the system will remain in equilibrium. (2 pts)

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Q6: As shown in figure (6), A (90°) V-notch weir ($C_d = 0.62$) under a constant head of (0.2m) feeds a tank containing a (75mm) diameter orifice. When the lost head through the orifice is (0.61m) and ($C_c = 0.65$). Determine the head (H) to which the water will rise in the tank and $C_d$ for the orifice.

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In the circuit below with a DC voltage source, you are given that $i = 400$ mA. Determine the voltage $v$ and the source voltage $V_s$. Show all of your work.

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How do you determine the largest source and use of cash on a balance statement of cash flows?

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Question: Detailed Key features of YouTube and LinkedIn. Like the example below of Facebook key features. Facebook Key features: 1. News Feed: Using Facebook will never be the same without the News Feed on Facebook walls. 2. Photos: It is an admired feature of Facebook. 3. Like Button: Like the picture or comment that is posted by friends. 4. Facebook Messenger: It is mostly used for chatting and acts like a chat room. 5. Relationship Status: It is easier to establish whether the guy or girl met recently is single, engaged, married, or in an open relationship. 6. Turn off Push Notifications: It can easily switch off push notifications. 7. Embed-in-Post: This feature has a high advantage over Twitter. When posting articles, videos, and pictures on Facebook. 8. Social Plug-ins: Want to comment on an article? With Facebook social plug-ins, the comment will be directly posted on the site where the comment was made. 9. Timeline: In the Timeline feature, pictures, new friends, and other content flow easily in a wider format. 10. Events: In this feature, know friends' dates of births and some events like college, political, and business events happening in nearby places.

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