Numerade

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Hugger Polls contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and Hugger wants to evaluate its effectiveness. The number of in-depth surveys conducted during a week by a random sample of 15 agents are: 535750555854605259626060515956 Compute the p-value. At the 0.05 level of significance, can we conclude that the mean number of interviews conducted by the agents is more than 53 per week?

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(1) Give the language, L(G), in a formal expression, including the relational operator in the length of strings. e.g.) L(G) = {w| #(a) < #(b) in w} { w| #(a) = #(b) = #(c) in w } (3) [5] Give a derivation for 01011010 using the grammar in (2)

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13. What is the equivalent capacitance of the combination shown? A. $ 40 \mu \mathrm{F} $ B. $ 29 \mu \mathrm{F} $ C. $ 25 \mu \mathrm{F} $ D. $ 10 \mu \mathrm{F} $ 14. Wires 1 and 2 are made of the same metal. Wire 2 has twice the length and twice the diameter of wire 1 . What is the ratio $ R_{2} / R_{1} $ of the resistances of the two wires? A. 0.13 B. 0.25 C. 0.50 D. 1.00

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Problem #4 A 200 kg buffalo running north with a speed of 20.0 m/s collides with a 120.0 kg lion running east at 40.0 m/s. The two animals stick together after the collision. a) Provide a drawing and the conservation of momentum equation. b) Find the speed of the two animals after the collision. c) Find their direction after the collision.

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In a demo for showing how a jet works, Lorenzo would like to use an inflated balloon. The mass of the empty balloon is 1.1 g and it only moves vertically upward. We know that this balloon produces a constant thrust force of 0.09 N. What will be the speed of the balloon after it moves 4.95 m upward? Neglect air resistance and assume it starts from rest. $v_f = $ number (rtol=0.05, atol=1e-08) $m/s$

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1. a. Describe a specific real world scenario where an average rate of change can be positive? [1] b. Describe a specific real world scenario where an instantaneous rate of change can be negative? [1] 2. Given $f(x) = \sqrt{x-1}$, $g(x) = 3^{-x}$, $h(x) = \sin x$, $m(x) = \log[-(x-4)]$ and $p(x) = \frac{1}{x+1}$ [8] The equation in fully simplified form $f(x) + g(x)$ $m(x) - g(x)$ $(f\circ m)(x)$ $h(x) + p(x)$ 2 Domain

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Item 1: Entity | Corporation purchased land adjacent to its plant to improve access for trucks making deliveries. Expenditures incurred in purchasing the land were as follows: Purchase price Broker's fees Title search and other fees $55,000 6,000 5,000 Demolition of an old building on the property, 5,700 Grading Digging foundation for the road Laying and paving driveway Lighting Signs 1,200 3,000 25,000 7,500 1,500. List the items and amounts that should be included in the Land account. Item 2: Equipment with a cost of $480,000 has an estimated salvage value of $30,000 and an estimated life of 4 years. Compute the annual depreciation and then show what this asset looks like on the balance sheet at the end of the second year. | Item 3: Equipment that cost $72,000 and on which $60,000 of accumulated depreciation has been recorded was disposed of for $18,000 cash. Make the entry to record this transaction. Hint: Compute BV and then gain (loss).

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Question 3 [3 points] Suppose a population model is given by $y' = ky$, $y(0) = 1$, and $k = \frac{9}{10}$. What is $y$ at $t = 17$? Give your answer as an exact expression. Worksheet Question 4 [2 points]

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Aluminum Copper Steel $E_{al} = 10(10^3) \text{ ksi}$ $E_{cu} = 18(10^3) \text{ ksi}$ $E_{st} = 29(10^3) \text{ ksi}$ 3.50 kip 1.75 kip 2.00 kip 1.50 kip A B 3.50 kip C 1.75 kip D -18 in. -12 in. -16 in-

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Multiple Choice (Circle the "best" answer) I. Each question worth 2.5 points in this section 1. What is the price of a UK Console Bond that makes payments of 80 pounds a year forever, and the required rate is 3.5%? A. 2.80 pounds B. 1,000.00 pounds C. 2,285.71 pounds D. 3,500.00 pounds

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lee c.