Numerade

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There are two coins, a blue and a red one. A coin is chosen at random and tossed twice. The coins are biased: with the blue coin, the probability of heads in any given toss is 0.99, whereas for the red coin it is 0.01. Let H;, i = 1, 2, be the event that the i-th toss results in a head and B be the evnt that the blue coin is selected. Show that H, and H, are conditionally independent given B, but not marginally independent (For the definiton of conditional independence, see Lecture 1.1).

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2.4 Three forces are concurrent at point O, and the tension in cable T_(1)=5,000# with the slope as shown. Determine the magnitudes necessary for T_(2) and T_(3) such that the resultant force of 10 k acts vertically down the axis of the pole. Scale =1=1000#

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A technician in a hospital laboratory obtained a 7.0 mL sample of gastric juice taken from a patient several hours after a meal and titrated the juice with 0.2 M NaOH to neutrality. The neutralization of gastric HCI required 4.2 mL of NaOH. The patient's stomach contained no ingested food or drink at the time of sample harvest. Therefore, assume that no buffers were present. What was the pH of the gastric juice? pH = TOOLS x10y

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The energies of the GS and first excited states of a particle of mass 1/2 in a potential V (x) are -3, -1 respectively, where ħ = 1 . If the corresponding wavefunctions are related by ψ₁ = 40 sinh æ, then the ground state eigenfunction is? 1. ψο = A(cos hx)-2 2. ψο = A(cos hx)-1/2 3. ψο = A(cos hx)-5/2 4. ψο = A(cos hx)-3/2

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After becoming an Uber driver, Michael decided to work out how many hours he should drive to maximise his profit. Which of the following statements is true? Michael will make a normal profit if his accounting profit is positive and his economic profit is negative. Fuel, wear and tear, and other car-related costs are Michael's implicit costs. From an economics perspective, Michael should continue driving indefinitely for Uber even if his implicit costs are not being recovered. When calculating accounting profits, Michael should not include explicit costs. When calculating economic profits, Michael should include both explicit and implicit costs. -recovered. O When calculating economic profits, Michael should include both explicit and implicit costs. O When calculating accounting profits, Michael should not include explicit costs. O Fuel, wear and tear, and other car-related costs are Michael's implicit costs. Which of the following statements is true? O From an economics perspective, Michael should continue driving indefinitely for Uber even if his implicit costs are not being After becoming an Uber driver, Michael decided to work out how many hours he should drive to maximise his profit.

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Question 2 1 pts If the government levies a $500 tax per car off sellers of cars, then the price received by sellers of cars would decrease by less than $500. decrease by exactly $500. decrease by more than $500. increase by an indeterminate amount.

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The following graph plots the weekly market supply curve (orange line) for cinnamon rolls in a hypothetical small economy. Use the purple point (diamond symbol) to shade the area representing producer surplus (PS) when the price (P) of cinnamon rolls is $2.25 per roll. Then, use the green point (triangle symbol) to shade the area representing additional producer surplus when the price rises to $3.00 per roll. Small Economy's Weekly Supply 9.00 8.25 7.50 6.75 6.00 5.25 4.50 3.75 P=$3.00 3.00 PRICE (Dollars per roll) 2.25 P=$2.25 1.50 0.75 Supply 0 0 24 48 72 96 120 144 168 192 216 240 264 288 QUANTITY (Thousands of cinnamon rolls) ? Initial PS (P=$2.25) ? Additional PS (P=$3.00) ?

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If a person escaped from a submarine, would it be safe for them to hold their breath as they ascend to the surface? options: Yes, that way they would have air as they go up Yes, the air in their lungs will contract as they ascend No, because they will use up the oxygen in their lungs and be left with only nitrogen No, because the air in their lungs would expand as they rose

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Question 25 A point charge of +3.0 µC is located at the origin of a coordinate system and a second point charge of -6.0 µC is at x = 1.00 m. What is the electric potential at the x = 0.50 m point? ($k_e = 8.99 \times 10^9 \text{ N} \cdot \text{m}^2/\text{C}^2$) Multiple Choice A $16 \times 10^4$ V B $11 \times 10^4$ V C $-11 \times 10^4$ V D $-5.4 \times 10^4$ V

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Moving to another question will save this r Question 2 For a system with transfer function: G(s)= 10/ [2.5s + 1] The sampling time is: • 2.5 second • 0.5 second • 12.5 second • 0.05 second ?Moving to another question will

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nicholas b.