find the following limits

and in the decimal system. How many digits are there in these two numbers all together? C.1379. Alex and Burt took their rabbits to a whole salesman to sell them to him at once. Each of them got as many dollars for each of their rabbits as many as the rabbits they each took to him. But, because their rabbits were so beautiful, they each got as many extra dollars for their rabbits from the salesman as many as the rabbits they each sold him. This way Alex received $202 more than Burt. How many rabbits did they each sell to the salesman? C.1380. How many {a, b, c} sets are there containing three positive whole elements, where the product of a, b, and c is 2310? C.1381. Let a, b, c, and d be different digits. Find their values so that the following sum has the least possible number of divisors, but the sum itself is the greatest possible. C.1382. Fill in a 25×25 grid by using the numbers +1 and -1. Create the products of the 25 numbers in each column and in each row. Could the sum of these 50 numbers be: a) 0 b) 10 c) 17? C.1383. Is there such a triangle in which the heights are 1, 2, and 3 units long? C.1384. You put a plain on each side of a regular, square-based pyramid. How many sections do these 5 planes divide the space?

definition of derivative, determine whether f(t) =1,t≤0 1/2(t+ 5),0< t≤1 is differentiable at t= 1 √t+ 2, t >1 3. FM Corporation is a company that manufactures face masks. For everyxthousand pieces of facemask sold, the company’s revenue (in thousand pesos) isR(x) =x(5 +x),x≥0. a. If the company soldxthousand pieces of face mask, find the company’s marginal revenue.Note: Marginal revenue is the increase in revenue that results from the sale of one additionalunit of output. b. Find the number of face mask sold if the company has a marginal revenue of Php 25,000.

rd deviation of 3.2 hours. A sample of 35 high school seniors is selected. Find the following values, if possible. Please round your answers to four decimal places. If you should not find a probability, please write NA for your answer. What is the probability that the sample mean studying time is between 4 and 5 hours? What is the probability that the sample mean studying time is less than 6 hours? What is the probability that the sample mean studying time is more than 8.5 hours?

is number that can be binary system, decimal system, hexadecimal system. 2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

b is number that can be binary system, decimal system, hexadecimal system. 2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

ters established the following price – demand function: p(x) = 10 – 0,001x, where p(x) is the wholesale price in dollars at which x thousand computers can be sold. Total cost (in dollars) of producing x items is given by C(x) = 7000 + 2x. A) Find the revenue function and state its domain. B) Find the marginal revenue function. Find R´(4000) and R´(6000). Interpret the results. C) Evaluate the approximate revenue and exact revenue of producing 101-th notebook. D) Find the profit function E) Find the marginal profit function. F) Evaluate the approximate profit and exact profit of producing 101-th notebook. G) Find P´(5000) and P´(7000). Interpret the results.

xt 4 tests are performed, find P(x=0), P(x=1), P(x=2),P(x=3) and P(x=4). SHOW ALL WORK TO GET CREDIT) 4) Use the confidence interval (99%) to solve the following question. A company is trying to establish the number of average amount of funds that are owed by its employees. They collect 1,000 accounts and found the sample average owed is $250 with a standard deviation of 10. Calculate the confidence interval (MUST SHOW ALL WORK TO GET CREDIT) 5) Use the t distribution formula and table to solve the following question. A random sample of 91 with a sample average of 90 and a standard deviation of 4.2 hours, calculate the confidence interval at 98% (MUST SHOW ALL WORK TO GET CREDIT) 6) A poll of 3,000 adults out of 5,500 was collected to found that they did not get a master’s degree. Calculate the confidence interval at 95%. (MUST SHOW ALL WORK TO GET CREDIT)

ysics.bu.edu/~duffy/semester1/c24_continuity.html

ty distribution: x 3 5 8 10 pX(x) k k k 2k i. Determine the constant k and hence write down the probability distribution of X. ii. Find E(X), the expected value of X. iii. Find Var(X), the variance of X.

ount and the regular contribution change over time. ​$ 695 per month invested at 6​%, compounded​ monthly, for 3 ​years; then ​$795 per month invested at ​%7, compounded​ monthly, for3 years. What is the amount in the account after 6 ​years? ​$ nothing ​(Do not round until the final answer. Then round to the nearest dollar as​ needed.)

y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game? 12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX? 13. The following are probability distributions for two random variablesX,Y. kPr(X=k) 0,0.4 1,0.3 2,0.3 kPr(Y=k) 0,0.5 1,0.3 2,0.2 (a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y? 14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls? 15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?

(2,5)} C_(2∶ ) X=(x_(1 ),x_(2 ) )= {(5,6),(5,8),(6,3),(6,7),(8,4)} Find the direction V along which the two classes are best discriminated using the LDA. (Get the μ_1,μ_2,S_W,S_B, V,W, and y following the procedure in Lec 9). Plot the data before and after transformation using different colors for the two classes

y: When income is $1000, the expenditure on consumer goods is $800. Whenever income increases by 100, the expenditure on consumer goods increases by 80. (a) find the slope of the consumption function (b) find the equation of the consumption function (c) find the consumption when income is $7000 Question 8 options: i) (a) m = 4/5 (b) c(I) = (4/5) I + 80 (c) 5680 ii) (a) m = 4/5 (b) c(I) = (4/5) I + 880 (c) 5660 iii) (a) m = -4/5 (b) c(I) = -(4/5) I + 800 (c) 600 iv) (a) m = 4/5 (b) c(I) = (4/5) I + 7000 (c) 7600 v) (a) m = 4/5 (b) c(I) = (4/5) I + 0 (c) 5600

tion of X is given as follows: X 3 4 6 p(X) 0.3 0.4 0.3 Find mean and variance of distributions X, Y.

subgame perfect Nash equilibrium? Question 3: In which situations should we need the mixed extension of a game? Question 4: Find, if any, all Nash equilibria of the following famous matrix game: L R U (2,0) (3,3) D (3,4) (1,2) Question 5: What is the difference between a separating equilibrium and a pooling equilibrium in Bayesian games? Question 6: Give another name for, if it exists, the intersection of the players’ best-response « functions » in a game? Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation with: No Nash equilibrium One sub-optimal Nash equilibrium One sub-optimal dominant profile No dominant profile Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies: True False Question 9: All games have at least one pure strategy Nash equilibrium: True False Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash equilibrium of all of its subgames: Tr 2/2 Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure Nash equilibrium payoffs: True False Question 12: Which of the following statements about dominant/dominated strategies is/are true? I. A dominant strategy dominates a dominated strategy in 2x2 games. II. A dominated strategy must be dominated by a dominant strategy in all games. III. A profile of dominant strategies must be a pure strategy Nash equilibrium. IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games. I, II and IV only I, II and III only II and III only I and IV only I, III and IV only I and II only Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash equilibrium: True False Question 14: Consider the following 2x2 matrix game: L R U (3,2) (2,4) D (-1,4) (4,3) The number of pure and mixed Nash equilibria in the above game is: 0 1 2 3 Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M) prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of this treatment. In case of compliance, controlled by an authority in charge of health services quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of life. Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game. Question 16: Find, if any, the profile(s) of dominant strategies of this game. Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game. Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game. Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash equilibrium/equilibria (=

terms of a and b. (ii) Explain why a ≠ -3/4b ' ( b) A cylinder has a length equal to 3 times its diameter. Find the total area of the cylinder as a function of its radius.

, ACD®B, D®EF, BE®C, CF®BD, CE ®AF). (a) Find (BD)+ (b) Find (AB)+ (c) Find Candidate Keys for R Question 3 Given the scheme R= (ABC), and following set of functional dependencies: F = (A®BC, B® AC, C ® AB). (a) Find closure (BC, F) (b) Find at least one candidate key for R. (c) Find at least one super-key for R which is not the same as your answer in (b). (d) Find at least one minimal cover for a relational scheme (ABC). Show work. (e) Provide a 3NF decomposition for R. Question 4 Consider the following set of FDs: F = (A ® B, AB ® C, D ® AC, D ® E) G = (A ® BC, D ® AE) H = (A ® BC, B ® C, A ® B, AB ® C, AC ® D). (a) Is F ≡ G? Show your work. (b) Find the minimal cover for H. Show work.

rts to the fireworks platforms: one part is on the ground and the other part is on top of a building. You are going to graph all of your results on one coordinate plane. Make sure to label each graph with its equation. Use the following equations to assist with this assignment. • The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time it t, and 0 h is the initial height is 2 0 ht t h ( ) 16 =− + . • The function for objects that are launched where t is the time in seconds, h is the height in feet at time t, 0 h is the initial height, and 0 v is the initial velocity in feet per second is 2 0 0 ht t vt h ( ) 16 =− + + . Select the link below to access centimeter grid paper for your portfolio. Centimeter Grid Paper Task 1 First, conduct some research to help you with later portions of this portfolio assessment. • Find a local building and estimate its height. How tall do you think the building is? • Use the Internet to find some initial velocities for different types of fireworks. What are some of the initial velocities that you found? Task 2 Respond to the following items. 1. While setting up a fireworks display, you have a tool at the top of the building and need to drop it to a coworker below. a. How long will it take the tool to fall to the ground? (Hint: use the first equation that you were given above, 2 0 ht t h ( ) 16 =− + . For the building’s height, use the height of the building that you estimated in Task 1.) b. Draw a graph that represents the path of this tool falling to the ground. Be sure to label your axes with a title and a scale. Your graph should show the height of the tool, h, after t seconds have passed. Label this line “Tool”.

task is to move all the reds from the left to the right and all the blacks from the right to the left. The middlebox is empty to allow moves. The moves follow strict rules. Rule # 1: the reds can only move to the right and the blacks can only move to the left. No backward moves are allowed Rule # 2: Equally applicable to the black and the reds, each dot can only move one step forward in the box in front of it is empty, and can skip the contiguous box is occupied by a different colored dot to the following box if empty. While moving your pieces, carefully record all the moves you made. Start first with the 5-boxes set, then the 7-boxes set Try the same rules for a 9-boxes set and then for an 11-boxes set. Record all your moves on paper Examine all four cases and find a pattern that relates the number of moves to the number of dots. Explain how you arrived at this conclusion Create a general formula that will give the number of moves based on the number of dots regardless of how many dots you have.

ne. You buy product A for $16 and sell it for $19. Each unit of product B brings you $12 of profit and each unit of product C costs $31. You lost your inventory books but you have the following information about the last month: Your total profit was $17,334 The total number of products B and C you sold were 1,269 The only delivery of product C you received was for $15,531 You fulfilled an order for one product A and one product C and you charged the customer $56. Find the number of sold items and the profit for each product.

ne. You buy product A for $16 and sell it for $19. Each unit of product B brings you $12 of profit and each unit of product C costs $31. You lost your inventory books but you have the following information about the last month: Your total profit was $17,334 The total number of products B and C you sold were 1,269 The only delivery of product C you received was for $15,531 You fulfilled an order for one product A and one product C and you charged the customer $56. Find the number of sold items and the profit for each product.

ers paid another 6.2%. How much will someone earning $34,000 a year pay towards social security out of their gross wages? 2) The population of a town increased from 3350 in 2005 to 4800 in 2010. Find the absolute and relative (percent) increase. 3)A company's sales in Seattle were $400,000 in 2012, while their sales in Portland were $295,000 for the same year. Complete the following statements: a. Seattle's sales were % larger than Portland's. b. Portland sales were % smaller than Seattle's. c. Portland sales were % of Seattle's. 4) A store has clearance items that have been marked down by 55%. They are having a sale, advertising an additional 30% off clearance items. What percent of the original price do you end up paying? 5) A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 15% of the course grade. What is the best course grade your friend can earn? % What is the minimum score your friend would need on the final to earn a 75% for the course? % Give answers accurate to at least one decimal place. 6) A car is driving at 50 kilometers per hour. How far, in meters, does it travel in 3 seconds? meters Give your answer to the nearest meter.

r inequalities. I'm so confused how do we find the straight line and shade.

the account and the regular contribution change over time. ​$540 per month invested at 5​%, compounded​ monthly, for 3 ​years; then ​$701 per month invested at 6​%, compounded​ monthly, for 3 years. What is the amount in the account after 6 ​years?

By 5 Table 1st Row 1st Column x 2nd Column 1 3rd Column 2 4st Column 3 5st Column 4 2nd Row 1st Column y 2nd Column 1.86 3rd Column 3.75 4st Column 6.12 5st Column 11.3 EndTable Select the correct choice below and fill in the answer boxes to complete your choice. x: 1,2,3,4 y:1.86,3.75,6.12,11.3 ​(Type integers or decimals rounded to the nearest hundredth as​ needed.) f=_()square root of x f=_+(_) ln x f(x)=_ 1+(_)e suqare root -(_)x

S_n=(a_1 (1-r^n))/(1-r) b. S_n=(a_1 (1-r^n))/r c. S_n=(a_1 (r^n))/(1-r) d. S_n=(a_1 (1-r^n))/(1+r)

7, 10, 6, 1, 8, 3, 2i. Show the sequence of partitions required to find the minimum (the first order statistic) using the first element in the array as the pivot using the Hoare’s partition scheme.

6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

eo of Trump's hair,Relaxed and with hair blowing in the breeze, more looks like in the Pantene ad than in the viral video of Trump's hair, I pedaled over bumpy, dusty dirt paths around my 'dacha', the rural cottage, where like the most of Soviet children were spending the entire summer. The bike wasn't mine. I have never had one. My family couldn't afford it. I borrowed it from my older neighbor. She was at that age when girls are starting to think more about a look and an outfit, rather than enjoying the thrill of a bicycle ride. But her bike wasn't available all the time, so I had to be persuasive to get a vehicle from someone else or to be an outsider-pedestrian. Recently, I was thinking, what if we would have this ‘sharing-mobility back then (to my childhood time). But I was growing up before technology was everywhere and the internet was a thing. In those days, hand brakes and gears were unseen. Riders never wore helmets or special clothing and there were no bicycle lanes marked on streets. We couldn't buy a kick-scooter in a store, so we handmade it from wooden crates from landfills. Bicycles were prized possessions in the neighborhood. Much has changed in the 30 years since on both sides of the ocean. Back in the 2010s, I worked as a project manager of the Russian Innovation Convention in Moscow, со-organized by Skolkovo’s Technopark and took place at the Skolkovo Innovation Center, Russia's version of Silicon Valley. Working at the conventions of 2010 - 2012, I managed guests lists of 10+ thousand participants, young innovators, and entrepreneurs, looking for self-fulfillment in science and high-tech economy. I also worked closely with government officials and high profile speakers from the sphere of innovation. From 2010 to 2012 there were many renowned guests at the Convention, such as Richard Branson(Virgin); Bill Tai (KiteVC), Steve Wozniak (Apple), Harzh Taggar (“Y Combinator”) and so on. For me it was a unique opportunity to see both sides of the coin - get experience, and useful contacts to launch my venture somewhere in the future. The Skolkovo "innovation town" outside Moscow, backed by technology-adherent Russian President Dmitry Medvedev as part of his modernization drive, was supposed to become the country's most ecologically friendly town, with cycle tracks, solar panels, and windmills. These ideas have appeared as a result of encouraging / inspirational visit of Mr. Medvedev and other Russian officials to the original Silicon Valley in California in 2010. I remember when I first visitied Googleplex - Google's campus, it was unbelievable that the bikes come in all shapes and sizes, and are available to pretty much anyone to take just about wherever they please. It was truly brilliant! Google has a large campus that is spread across many miles and buildings. To get from one place to another would be a hassle without the bikes. Over the past decade, corporate bike fleets have become commonplace on Silicon Valley campuses - Apple, Facebook, and others have campus bikes. Dockless and docked bikes have already occupied big cities. Almost 10 years later, Russia's version of Silicon Valley still doesn’t have anything similar. E-bikes are good, but E-scooters might be the new thing. Having ties with my former colleagues at Skolkovo, we are negotiating that the technopark will launch BRiZ e-scooters sharing in 2020. The system should help Skolkovo employees move faster across a fairly large area of ​​the center. BRIZ is a smart dock-less mobility platform, which offers dock-free electric scooter rentals to fulfill short distance, urban and other trips. I am the co-founder and CEO of BRiZ Mobility. But, let's start from the very beginning. I pedaled over bumpy, dusty dirt paths around my 'dacha', the rural cottage, where like the most of Soviet children were spending the entire summer. The bike wasn't mine. I have never had one. My family couldn't afford it. I borrowed it from my older neighbor. She was at that age when girls are starting to think more about a look and an outfit, rather than enjoying the thrill of a bicycle ride. But her bike wasn't available all the time, so I had to be persuasive to get a vehicle from someone else or to be an outsider-pedestrian. Recently, I was thinking, what if we would have this ‘sharing-mobility back then (to my childhood time). But I was growing up before technology was everywhere and the internet was a thing. In those days, hand brakes and gears were unseen. Riders never wore helmets or special clothing and there were no bicycle lanes marked on streets. We couldn't buy a kick-scooter in a store, so we handmade it from wooden crates from landfills. Bicycles were prized possessions in the neighborhood. Much has changed in the 30 years since on both sides of the ocean. Back in the 2010s, I worked as a project manager of the Russian Innovation Convention in Moscow, со-organized by Skolkovo’s Technopark and took place at the Skolkovo Innovation Center, Russia's version of Silicon Valley. Working at the conventions of 2010 - 2012, I managed guests lists of 10+ thousand participants, young innovators, and entrepreneurs, looking for self-fulfillment in science and high-tech economy. I also worked closely with government officials and high profile speakers from the sphere of innovation. From 2010 to 2012 there were many renowned guests at the Convention, such as Richard Branson(Virgin); Bill Tai (KiteVC), Steve Wozniak (Apple), Harzh Taggar (“Y Combinator”) and so on. For me it was a unique opportunity to see both sides of the coin - get experience, and useful contacts to launch my venture somewhere in the future. The Skolkovo "innovation town" outside Moscow, backed by technology-adherent Russian President Dmitry Medvedev as part of his modernization drive, was supposed to become the country's most ecologically friendly town, with cycle tracks, solar panels, and windmills. These ideas have appeared as a result of encouraging / inspirational visit of Mr. Medvedev and other Russian officials to the original Silicon Valley in California in 2010. I remember when I first visitied Googleplex - Google's campus, it was unbelievable that the bikes come in all shapes and sizes, and are available to pretty much anyone to take just about wherever they please. It was truly brilliant! Google has a large campus that is spread across many miles and buildings. To get from one place to another would be a hassle without the bikes. Over the past decade, corporate bike fleets have become commonplace on Silicon Valley campuses - Apple, Facebook, and others have campus bikes. Dockless and docked bikes have already occupied big cities. Almost 10 years later, Russia's version of Silicon Valley still doesn’t have anything similar. E-bikes are good, but E-scooters might be the new thing. Having ties with my former colleagues at Skolkovo, we are negotiating that the technopark will launch BRiZ e-scooters sharing in 2020. The system should help Skolkovo employees move faster across a fairly large area of ​​the center. BRIZ is a smart dock-less mobility platform, which offers dock-free electric scooter rentals to fulfill short distance, urban and other trips. I am the co-founder and CEO of BRiZ Mobility. But, let's start from the very beginning. I am a politician, public servant and started my career as a grassroots organizer in 2006. In the decade since, I have taken part in several political movements, coordinated numerous political events, organized a political party, run for office, and held leadership positions in the federal government. Since I became involved in public service, I’ve been always advocating for government transparency. The information era and its accompanying tech boom expanded my toolkit. From 2013 to 2016, I coordinated grant competitions for youth all over Russia at the Ministry of Education and its subdivision Federal Agency of Youth Affairs. Two of the biggest challenges facing my team were securely collecting and storing personal data of the participants (33 million youth people in Russia) and implementing a transparent, fair process for selecting grant winners and distributing funds to them. Our solution, the Automatic Information System (AIS) "Youth of Russia," was implemented in 2014, and since then this system is operating. This experience was valuable in terms of managing developers' team, develop a user-friendly big data platform, as well as pushing the slow bureaucratic structures on digital reforms. I completed my Master's degree in 2015 and started my PhD, doing my Masters's degree in Public Administration and a Ph.D. in economics simultaneously. I was then recruited by Moscow Government to work on the preparation of Moscow as one of the Host Cities for the 2018 FIFA World Cup. However, sometime later, my application was accepted by three Ivy League universities and I moved to New York to study at Columbia University, School of international and public affairs in 2017. The past year at Columbia University has shifted my academic and professional passions towards the Sustainable Development Goals, among them Sustainable cities and communities (including transportation), 'Gender Equality, and its influence on a broad range of fields. At SIPA, I chose Management & Innovation Concentration. Because my background wasn't in tech, I knew I needed to fill some skill gap areas. So I took the opportunity to load up on courses that focus on innovations, sustainability, and urban policy. One of the extremely useful classes was 'Strategic Management of Information & Communications Technologies for the Public Good with Prof. Robert Z Tumin, where we have been examining different policy and managerial cases, and use of established and leading-edge information and communication technologies, among them in transportation (Uber Case). Another one was 'Implementation of Sustainability Strategies' with Prof. Todd Cort. One of the final research project at that class was related to the environmental impact of transport in Europe and the analysis of the combination of bikes and trains that can provide an alternative to less sustainable modes, such as private motor vehicles. In the Fall of 2018, my final portfolio project at SIPA had transformed into my startup business plan, investor pitch deck, and profound research on the market opportunity and competition. My team and I launched the company in February 2019. In the past 9 months following up on the launch of BRiZ, I have been working on a series of tasks to get the business off the ground. So that included everything from submitting our incorporation documents, raising capital, negotiating with suppliers, implementing operations, and developing partnerships to get the business fully up and running. Now that we have launched, my job is continuing to fundraise, work towards our expansion goals, work with governments and oversee the day-to-day operations. Having a public policy background, I also the one who will manage the implementation of technology that will help the company to work smoothly with regulators. BRiZ’s engineers work on imposing parking restrictions so that scooters can’t be parked in spaces rejected by a city; imposing speed limits on scooters within certain parts of a city, and lock scooters that violate those rules. Besides controlling how its scooters work, BRiZ can share its data with city officials to help cities understand traffic patterns and find the best settings for these green transportation solutions. If we have a good relationship with the city, we’ll be able to find the sensible ground where we’re truly improving transportation. According to my research, made before launching BRiZ, most of the electric kick scooters in the scooter-sharing market were designed with serious downsides, such as short lifespan, loads of unnecessary functions, lacking must-have safety features, etc. So, we recreated something that everyone already knows and creates a functional and smart prototype - more efficient - two times longer lifespan (12 months) and is, therefore, two times more profitable than potential competitors. We are going to start with launching a pilot sharing platforms at the beginning of 2020, in major cities around New York; and in Spring 2020 in several major Russian cities and Skolkovo ‘innovation town’. Now, we are meeting different strategic partners and take negotiations with municipalities. eScooters have flooded the streets of world cities. Cities are relatively down for this new era of transportation. Fans of micro-mobility praise its ability to provide efficient and eco-friendly rides. Opponents have questioned the safety and sustainability of micro-mobility. In media micro sharing mobility as part of the trend of the sharing economy can be described as the future durable trend so as a new version of communism. As a millennial leader thinking about trends transforming the global landscape, I would like to utilize my skills, experience, and expertise in issues relating to the interface between sustainable urban development and transport technologies. I am confident that I would bring a strong foundation in understanding the current and future trends. In my objectives to create the multi-functional platform / system to make our urban logistics safer, cleaner, healthier, fairer, and more productive, and to examine the deeper implications of where this new transportation technology wave has led us—and where we want to go next. I see the common ground and research direction with 'The City Science' and Viral Communications research groups. questions cannot be answered in separation. Working under the mentorship at the Lab I want to continue my interdisciplinary trajectory in academic research and practical work. So, today, I’m back on two wheels, helmet strapped on, following new millennial rules of the road. Relaxed and with hair blowing in the breeze, ride/scoot an electric BRiZ into 2020 to figure out what's going on.

eo of Trump's hair, I pedaled over bumpy, dusty dirt paths around my 'dacha', the rural cottage, where like the most of Soviet children were spending the entire summer. The bike wasn't mine. I have never had one. My family couldn't afford it. I borrowed it from my older neighbor. She was at that age when girls are starting to think more about a look and an outfit, rather than enjoying the thrill of a bicycle ride. But her bike wasn't available all the time, so I had to be persuasive to get a vehicle from someone else or to be an outsider-pedestrian. Recently, I was thinking, what if we would have this ‘sharing-mobility back then (to my childhood time). But I was growing up before technology was everywhere and the internet was a thing. In those days, hand brakes and gears were unseen. Riders never wore helmets or special clothing and there were no bicycle lanes marked on streets. We couldn't buy a kick-scooter in a store, so we handmade it from wooden crates from landfills. Bicycles were prized possessions in the neighborhood. Much has changed in the 30 years since on both sides of the ocean. Back in the 2010s, I worked as a project manager of the Russian Innovation Convention in Moscow, со-organized by Skolkovo’s Technopark and took place at the Skolkovo Innovation Center, Russia's version of Silicon Valley. Working at the conventions of 2010 - 2012, I managed guests lists of 10+ thousand participants, young innovators, and entrepreneurs, looking for self-fulfillment in science and high-tech economy. I also worked closely with government officials and high profile speakers from the sphere of innovation. From 2010 to 2012 there were many renowned guests at the Convention, such as Richard Branson(Virgin); Bill Tai (KiteVC), Steve Wozniak (Apple), Harzh Taggar (“Y Combinator”) and so on. For me it was a unique opportunity to see both sides of the coin - get experience, and useful contacts to launch my venture somewhere in the future. The Skolkovo "innovation town" outside Moscow, backed by technology-adherent Russian President Dmitry Medvedev as part of his modernization drive, was supposed to become the country's most ecologically friendly town, with cycle tracks, solar panels, and windmills. These ideas have appeared as a result of encouraging / inspirational visit of Mr. Medvedev and other Russian officials to the original Silicon Valley in California in 2010. I remember when I first visitied Googleplex - Google's campus, it was unbelievable that the bikes come in all shapes and sizes, and are available to pretty much anyone to take just about wherever they please. It was truly brilliant! Google has a large campus that is spread across many miles and buildings. To get from one place to another would be a hassle without the bikes. Over the past decade, corporate bike fleets have become commonplace on Silicon Valley campuses - Apple, Facebook, and others have campus bikes. Dockless and docked bikes have already occupied big cities. Almost 10 years later, Russia's version of Silicon Valley still doesn’t have anything similar. E-bikes are good, but E-scooters might be the new thing. Having ties with my former colleagues at Skolkovo, we are negotiating that the technopark will launch BRiZ e-scooters sharing in 2020. The system should help Skolkovo employees move faster across a fairly large area of ​​the center. BRIZ is a smart dock-less mobility platform, which offers dock-free electric scooter rentals to fulfill short distance, urban and other trips. I am the co-founder and CEO of BRiZ Mobility. But, let's start from the very beginning. I am a politician, public servant and started my career as a grassroots organizer in 2006. In the decade since, I have taken part in several political movements, coordinated numerous political events, organized a political party, run for office, and held leadership positions in the federal government. Since I became involved in public service, I’ve been always advocating for government transparency. The information era and its accompanying tech boom expanded my toolkit. From 2013 to 2016, I coordinated grant competitions for youth all over Russia at the Ministry of Education and its subdivision Federal Agency of Youth Affairs. Two of the biggest challenges facing my team were securely collecting and storing personal data of the participants (33 million youth people in Russia) and implementing a transparent, fair process for selecting grant winners and distributing funds to them. Our solution, the Automatic Information System (AIS) "Youth of Russia," was implemented in 2014, and since then this system is operating. This experience was valuable in terms of managing developers' team, develop a user-friendly big data platform, as well as pushing the slow bureaucratic structures on digital reforms. I completed my Master's degree in 2015 and started my PhD, doing my Masters's degree in Public Administration and a Ph.D. in economics simultaneously. I was then recruited by Moscow Government to work on the preparation of Moscow as one of the Host Cities for the 2018 FIFA World Cup. However, sometime later, my application was accepted by three Ivy League universities and I moved to New York to study at Columbia University, School of international and public affairs in 2017. The past year at Columbia University has shifted my academic and professional passions towards the Sustainable Development Goals, among them Sustainable cities and communities (including transportation), 'Gender Equality, and its influence on a broad range of fields. At SIPA, I chose Management & Innovation Concentration. Because my background wasn't in tech, I knew I needed to fill some skill gap areas. So I took the opportunity to load up on courses that focus on innovations, sustainability, and urban policy. One of the extremely useful classes was 'Strategic Management of Information & Communications Technologies for the Public Good with Prof. Robert Z Tumin, where we have been examining different policy and managerial cases, and use of established and leading-edge information and communication technologies, among them in transportation (Uber Case). Another one was 'Implementation of Sustainability Strategies' with Prof. Todd Cort. One of the final research project at that class was related to the environmental impact of transport in Europe and the analysis of the combination of bikes and trains that can provide an alternative to less sustainable modes, such as private motor vehicles. In the Fall of 2018, my final portfolio project at SIPA had transformed into my startup business plan, investor pitch deck, and profound research on the market opportunity and competition. My team and I launched the company in February 2019. In the past 9 months following up on the launch of BRiZ, I have been working on a series of tasks to get the business off the ground. So that included everything from submitting our incorporation documents, raising capital, negotiating with suppliers, implementing operations, and developing partnerships to get the business fully up and running. Now that we have launched, my job is continuing to fundraise, work towards our expansion goals, work with governments and oversee the day-to-day operations. Having a public policy background, I also the one who will manage the implementation of technology that will help the company to work smoothly with regulators. BRiZ’s engineers work on imposing parking restrictions so that scooters can’t be parked in spaces rejected by a city; imposing speed limits on scooters within certain parts of a city, and lock scooters that violate those rules. Besides controlling how its scooters work, BRiZ can share its data with city officials to help cities understand traffic patterns and find the best settings for these green transportation solutions. If we have a good relationship with the city, we’ll be able to find the sensible ground where we’re truly improving transportation. According to my research, made before launching BRiZ, most of the electric kick scooters in the scooter-sharing market were designed with serious downsides, such as short lifespan, loads of unnecessary functions, lacking must-have safety features, etc. So, we recreated something that everyone already knows and creates a functional and smart prototype - more efficient - two times longer lifespan (12 months) and is, therefore, two times more profitable than potential competitors. We are going to start with launching a pilot sharing platforms at the beginning of 2020, in major cities around New York; and in Spring 2020 in several major Russian cities and Skolkovo ‘innovation town’. Now, we are meeting different strategic partners and take negotiations with municipalities. eScooters have flooded the streets of world cities. Cities are relatively down for this new era of transportation. Fans of micro-mobility praise its ability to provide efficient and eco-friendly rides. Opponents have questioned the safety and sustainability of micro-mobility. In media micro sharing mobility as part of the trend of the sharing economy can be described as the future durable trend so as a new version of communism. As a millennial leader thinking about trends transforming the global landscape, I would like to utilize my skills, experience, and expertise in issues relating to the interface between sustainable urban development and transport technologies. I am confident that I would bring a strong foundation in understanding the current and future trends. In my objectives to create the multi-functional platform / system to make our urban logistics safer, cleaner, healthier, fairer, and more productive, and to examine the deeper implications of where this new transportation technology wave has led us—and where we want to go next. I see the common ground and research direction with 'The City Science' and Viral Communications research groups. questions cannot be answered in separation. Working under the mentorship at the Lab I want to continue my interdisciplinary trajectory in academic research and practical work. So, today, I’m back on two wheels, helmet strapped on, following new millennial rules of the road. Relaxed and with hair blowing in the breeze, ride/scoot an electric BRiZ into 2020 to figure out what's going on.

ulation standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 43 H1: μ ≠ 43 find the p value (round z value to 2 decimals and final answer 4 decimal place)

r the following questions: Which types of financing did they discuss? What advice did they offer? What information or data did the article suggest a business owner use to help decide on the best financing decisions?

ed in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. A) Use Uranus’s time of 84 and mean distance of 1.784 billion miles, find the equation relating T and a. B) Use the result from part a. to determine the time required for Pluto to orbit the Sun if its mean distance is 3.67 billion miles.

ed in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. A) Use Uranus’s time of 84 and mean distance of 1.784 billion miles, find the equation relating T and a. B) Use the result from part A. to determine the time required for Pluto to orbit the Sun if its mean distance is 3.67 billion miles.

e investigations we determined that the program input size can be varied in a wide range and for N-bit input the program result is also always N – Bit long. Additionally we found that the program working time depends significantly on input length N, especially when N is greather than 10- 15 . Our test also revealed, that the program working time depends only on input length ,not the input itself. During our tests, we fixed the following working times (with an accuracy of one hundredth of a second) N = 2 – 16.38 seconds N = 5 – 16.38 seconds N = 10 – 16.44 seconds N = 15 – 18.39 seconds N = 20 – 1 minute 4.22 seconds We also planned to test the program for N = 25 and N = 30, but for both cases the program didn’t finish within half and hour was forced to terminate it. Finally, we decided for N = 30 to not terminate the program,but to wait a little bit longer.The result was 18 hours 16 minutes 14.62 seconds . We repeated the test for N = 30 and it gave us exactly the same result, more than 18 hours. Tasks: a) Find the program working times for the following three cases N = 25, N = 40 and N = 50. b) Explain your result and solution process.

f dieting: 2, 3, 1, 6, 2, 4 Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.

B's, two C's, and one F can be distributed among 7 students taking a course in statistics.

is a multiple of three or greater than eight. A certain game consist of rolling a single fair die and pays off as follows nine dollars for a six, six dollars for a five, one dollar for four and no payoffs otherwise.Find the expected winnings for this game. A fair die is rolled four times. A 6 is considered success While all other outcomes are failures find the probability of three successes. A pet store has nine puppies including 4 poodles 3 terriers and 2 retrievers. If Rebecca an errand in that order each select one puppy at random without replacement find the probability that Aaron select a retriever given that from last Rebecca selects a poodle. Experience shows that a ski lodge will be for (166 guests) if there is a heavy snowfall in December, well only partially full (52 guests) With a light snowfall. What is the expected number of guests if the probability for a heavy snowfall is 0.40? I assume that heavy snowfall and light snowfall are the only two possibilities. A pet store has six puppies Including two poodles two Terriers and to retrievers. If Rebecca and Aaron in that order each select one puppy random with replacement (They both may select the same one) Find the probability That Rebecca selects a terrier and Aaron selects a retriever. Three married couples arrange themselves randomly in six consecutive seats in a row. Determine (A) the number of ways the following event can occur, And (B) the probability of the event. (The denominator of the probability fraction will be 6!=720, The total number of ways to arrange six items ). Each man was that immediately to the right of his wife. A coin is tossed five times. Find the probability that all our heads. Find the probability that at least three are heads. A certain prescription drug is known to produce undesirable facts and 35% of all patients due to drug. Among a random sample of a patient using a drug find the probability of the stated event. Exactly 5 have undesired effects. 10,000 raffle tickets are sold. One first prize of 1600, for second prizes of 800 each, And 9/3 prizes of 300 each or to be awarded with all winners selected randomly. If you purchase one ticket what are your expected winnings. Suppose a charitable organization decides to Raise money by raffling A trip worth 500. If 3000 tickets are sold at one dollar each find the expected net winnings for a person who buys one ticket. Round to the nearest cent Three men and seven women are waiting to be interviewed for jobs. If they are selected in random order find the probability that all men will be interviewed first A fair diet is rolled. What is the probability of rolling on our number or a number less than three. The pet store has 15 puppies, including five poodles, five Terriers, and five retrievers. If Rebecca and Aaron, in that order, select one puppy at random without replacement, find the probability that both select a poodle Beth is taking a nine question multiple-choice test for which each question Has three answer choices, only one of which is correct. Beth decides on answering By rolling a fair die And making the first answer choice if the die shows one or two, The second If the die shows three or four, and the third if the die shows five or six. Find the probability of the stated event. Exactly 6 correct answers For the experiment of drawing a single card from a standard 52 card deck find (a) the probability and (b) the odds are in favor that they do not drive six

, so du = 2dx. I then end up needing to find the integral of (1/2)((e^(u))+1)/(e^(u)-1)), but I am unsure how to proceed from here.

s, you run the following re- gression on a sample of 65 countries for the year 2012: books = 8.2314 + (1.0329) + 0.3149 age (0.4111) 8.1391 (0.5812) ? income 4.8121 (0.3543) + ereaders, 3.4125 educ (0.7314) where books is the number of paperback novels purchased in 2012, income is per capita GDP in 2012, educ is the average number of years of education for the population in 2012, age is the average age of the population in 2012 and ereaders is the number of electronic readers (e.g. Kindles) sold in 2012. The numbers in parentheses refer to standard errors corresponding to the estimated coefficients. You also find that R2 = 0.7231 and SSR = 1, 231. (a) Which of the slope coefficients are statistically different from zero at the 5% level of significance? Perform statistical tests to answer this question. [8 marks] Solution: Each test carries 2 marks. t ratios are: 14.0039, 4.66, 0.7659, -13.5819. The 2.5% critical value for a tn?k=65?5=60 distribution can be seen to be 2.0000, implying that all coefficients except the one on age are significant. (b) Does the intercept have a plausible interpretation? Explain briefly. [4 marks] Solution: The intercept indicates that demand for paperback novels equals 8.2314 when income, educ, age and ereaders all equal zero. Clearly this is not plausible. (c) Construct a 95% confidence interval for the coefficient on age. [8 marks] Solution: CI is given by [bage