1.C.1377. How many 6-digit cube-numbers are there?
C.1378. Somebody calculated the exact values of and in the decimal system.
...
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?
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2.1. Find the second-order derivative of the following function:f(x) = log2cosx+ lnπ
2. Using limit definition of derivative, determine whether
f(t) =1,t≤0
1/2(t+
...
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.
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6.
The marketing research department for the company that manufactures and sells “notebook” computers established the following price – demand function:
p(x)
...
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.
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7.3) Suppose that a piece of equipment produces steel pipes and malfunctions 5% of the time, if the next 4
...
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)
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11.11. In a game, you draw thirteen cards with replacement from a deck of playing cards. If you draw any
...
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?
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12.. Consider the following 2D dataset:
C_(1∶ ) X=(x_(1 ),x_(2 ) )= {(0,2),(1,1),(1,4),(2,3),(2,5)}
C_(2∶
...
(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
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13.A household's expenditure on consumer goods depends on the household's income, I in the following way: When income is
...
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
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15.Question 1: What is a player’s « reaction function » in a Bertrand game ?
Question 2: What is a subgame
...
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 (=
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18.Given the scheme R= (ABCDEF), and following set of functional dependencies:
F = (AB®C, C®A, BC®D, ACD®B, D®EF, BE®C, CF®BD, CE
...
, 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.
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19.Directions: You are part of a fireworks crew assembling a local fireworks display.
There are two parts to the fireworks platforms:
...
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”.
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20.You are given a set of five and a set of seven contiguous boxes as shown in the figures above.
...
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.
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21.Let’s assume that you have a company that buys goods from a local factory and you resell them online.
You buy
...
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.
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22.Let’s assume that you have a company that buys goods from a local factory and you resell them online.
You buy
...
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.
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23.1) Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%.
...
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.
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29. Consider the algorithm for finding the ith order statistic for the following
input: A = h5, 4, 9, 7, 10,
...
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.
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31.Relaxed and with hair blowing in the breeze, more looks like in the Pantene ad than in the viral video
...
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.
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32.Relaxed and with hair blowing in the breeze, more looks like in the Pantene ad than in the viral video
...
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.
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39.We analyzed a program which was supposedly used for cracking some cryptographic algorithms.During the investigations we determined that the program
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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.
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43. When to balance dice are rolled, there are 36 possible outcomes. Find the probability that the sum is
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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
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