Numerade

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odeled by the equation h=-4t^(2)+4t+24, where h is the round? Round your answer to the nearest second.

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When trees or other plants burn, _____ is released into the atmosphere. pyruvate ethanol acetaldehyde acetyl CoA lactate

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[3 points]. Suppose that $ x \in \mathbb{R}^{2}\left(x=\left[x_{1}, x_{2}\right]^{T}\right) $. Consider the following optimization problem: \[ \begin{array}{cl} \min _{x} & x_{1}^{2}+x_{2}^{2} \\ \text { s.t. } & \left(x_{1}-1\right)^{2}+\left(x_{2}-1\right)^{2} \leq 1 \\ & \left(x_{1}-1\right)^{2}+\left(x_{2}+1\right)^{2} \leq 1 \end{array} \] a) [1 point]. Sketch the feasible set and level sets of the objective. Find the optimal point $ x^{\star} $ and optimal value $ p^{\star} $. b) [1 point]. Give the KKT conditions. Do there exist Lagrange multipliers $ \lambda_{1}^{\star} $ and $ \lambda_{2}^{\star} $ that prove that $ x^{\star} $ is optimal? c) [1 point]. Derive and solve the Lagrange dual problem. Does strong duality hold?

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A company sold 5,100 units of its only product and reported the following contribution margin income statement for this year. Contribution Margin Income Statement For Year Ended December 31 Sales ($65 per unit) Variable costs ($51 per unit) Contribution margin Fixed costs $ 331,500 260,100 71,400 43,350 $ 28,050 Income For next year, management estimates that variable costs per unit can be reduced by $25 by installing a new machine. To obtain these savings, the company must increase its annual fixed costs by $56,100. The selling price per unit will not change. Complete this question by entering your answers in the tahe holow Assessment Tool iFrame Required A Required B Required C Compute the break-even point in dollar sales for next year assuming the new machine is installed. Contribution Margin Ratio Numerator: / / Denominator: = = Contribution Margin Ratio Contribution margin ratio Break-Even Point in Dollar Sales with New Machine: Numerator: / / Denominator: = Break-Even Point in Dollars = Break-even point in dollars < Required A Required B

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The equilibrium price is indeterminate when: O either demand or supply shifts. O there is an increase in supply and a decrease in demand. O there is an increase or decrease in both demand and supply. O there is an increase in demand and a decrease in supply.

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Many North Americans are concerned about the rise in violent crime when, in fact, violent crime in most parts of Canada and the US is at its lowest in decades. The heuristic most responsible for this faculty judgement is: Select one: O a. the representativeness heuristic O b. the simulation heuristic c. the availability heuristic O d. the NRA heuristic Clear my choice

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? Question 2 13 pts Pg. 313 #36 Use the calculator function \"normalcdf\" to find the following probability. Fill in the function and write the answer rounded to 4 decimal places. Use -10000 for negative infinity and 10000 for positive infinity. Remember probabilities below 0.05 or 5% are to be labeled unusual. Convention Center: Exhibition Show Attendance Attendance at large exhibition shows in Denver averages about 8000 people per day, with a standard deviation of about 500. Assume that the daily attendance figures follow a normal distribution. A. Complete the curve with the proper symbol and units. a: b: a, b 6500 7000 7500 8000 8500 9000 9500 B. What is the probability that the daily attendance will be fewer than 7200 people? Probability Statement: Answer: Unusual: Function: C. What is the probability that the daily attendance will be more than 8900 people? Probability Statement: Answer: Unusual: Function: D. What is the probability that the daily attendance will be between 7200 and 8900 people? Probability Statement: Answer: Function:

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2. Phil Anthropist likes to give away money. One day he was feeling especially generous, so he went to the park with a wad of money. He gave \$100 to a man feeding pigeons. He then gave half of his remaining money to a child licking an ice-cream cone. He then gave \$50 to the balloon seller. He then bought a hot dog and paid for it with a \$20 bill. \"Keep the extra for a tip,\" he said to the hot-dog seller. Then he gave half of his remaining money to someone giving a sermon on a soapbox. At this point, he had \$3 left and stuck it under the collar of a stray cat. How much money did Phil have when he started his good deeds?

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Texts: PART C In this example, we will use the hermit dataset. hermit <- read.csv(file = "hermit.csv", header = TRUE) This dataset shows experimental results exploring how the pH of water affects the presence of a shell in male and female hermit crabs. Each row is a result from a single hermit crab and contains information on whether it had a shell (yes, no), its gender (male, female), and the pH of the water. 13. Calculate the separate probabilities of having a shell for hermit crabs in water > 7 pH (basic water) and for < 7 pH (acidic water) irrespective of gender. Round your answers to 3 decimal places. (4 pts) 14. Using your answer from Question 13, if you have two bodies of water each containing 75 hermit crabs, one which is acidic (< 7 pH), and another which is basic (> 7 pH), what would be the mean and standard deviation of the number of hermit crabs with shells for each body of water? Round your answer to 2 decimal places. (4 pts) 15. Using your answer from Question 13, if you had two bodies of water each containing 30 hermit crabs, one which was acidic (< 7 pH), and another which was basic (> 7 pH), what would be the probability that at least 15 of the hermit crabs have shells in the acidic water, and separately for the basic water? Round your answer to 3 decimal places and show your working. (4 pts).

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A resistors circuit is given in the figure. The values of the resistor are given below. Calculate The equivalent resistor (in $\Omega$ and two significant Figures) between points A and B. $R_1 = 6 \Omega$; $R_2 = 4 \Omega$; $R_3 = 10 \Omega$; $R_4 = 8 \Omega$; $R_5 = 20 \Omega$; $R_6 = 30 \Omega$; A) 3.5; B) 2.5; C) 4 D) 6; E) 5;

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amber t.