Rigid tank A and tank B (containing water) are connected to a piston cylinder with two valves as shown below. The piston cylinder assembly is initially (state 1) empty when the valves are closed.

The pressure required to float the piston is 800kPa, the piston is constantly loaded and is free to move. Now the valves are opened and the fluid reaches a uniform state at 250C within the system (state 2).

Determine: (a) The final volume (5 points) (b) The final pressure (5 points) (c) The work done (5 points) (d) Show the process on a PV diagram (5 points) (e) The heat transfer

The initial conditions for tank A are: Mass=3kg T=120C Volume=0.6?3 The initial conditions for tank B are: P=600kPa T=200C Volume=0.4?3

Use the binomial distribution to determine which of the following three games has the highest probability of
winning. What is the minimum rational price you should charge to play this game if you must pay a winner
$5.00?
Game 1: throw a single die 6 times. You win if you roll a 1 at least once.
Game 2: throw a single die 12 times. You win if you roll a 1 at least twice.
Game 3: throw a single die 18 times. You win if you roll a 1 at least three times.

1. In an English? auction, the dominant strategy is to:

A. Bid when the price is higher than your value

B. Bid until the price is above your value

C. Bid until the price is lower than your value

D. Bid when the price is equal to your value

In? equilibrium, the winning bidder will believe the item to have_____(the lowest value/ the highest value/ no value)

and will pay a price equal to the____ (lowest bidder/ highest bidder/ second-highest bidder)

2.Auctions help in price discovery by? ____________.

A.giving consumers the thrill of competing for a? good, since the highest bidder wins.

B.creating increased demand for ordinary? goods, such as the Apple iPad.

C.increasing? supply, especially with Internet? auctions, since goods can be sold faster.

D.finding the appropriate price for unique? goods, such as a? painting, that may not have a? well-established price.

3. The percentage of U.S. adults that have participated in an online auction has____ (stayed the same/ decreased/ increased)over the last decade.

Which of the following goods would be most suitable for an? auction?

A.An original abstract sculpture.

B.A box of Cracker Jack.

C.A Swedish massage.

D.A pair of Nike tennis shoes.

4. Risk neutrality is? ____________.

A.adverse to any risk.

B.neither risk averse nor risk loving.

C.risk loving.

D.risk averse.

Classify the following statements as business (B), functional (F), nonfunctional (N), or data (D) requirements; for the latter three, also classify them as user-level (U), operational-level (O), or physical-level (P) requirements: For example, it could be a B - but if the answer is either, F, N or D - also add whether its a U, O, or P

• The program must process at least 3,000 calls per hour.
• The default credit card choice on the payment form must be “Visa.”
• Each elevator’s default floor parking location must be an integer in the range lowest-floor to highest-floor.
• The daily report of expiring drug batches must list, for each expiring drug, the drug name, manufacturer, batch number, and pharmacy bin number
• In the daily report, the title must be in the form “Daily Report for dd/mm/yy,” where dd is the current day of the month as a two digit number, mm is the current month as a two-digit number, and yy is the last two digits of the current year.
• The program must notify the operator when the order quantity is greater than the quantity on hand
• The product must strap to patients’ wrists and measure several bodily functions to monitor and record stress levels
• An elevator in an idle state must transition to an active state if one or more floors different from the current floor are selected on its control panel, or if a call message is received from the dispatcher.
• The product must be rated as most reliable in published product reviews within a year after release
• The product must reduce support costs by 15% in three months.

Consider this childhood game with two players, A and B. There are 11 lit candles. The players take turns blowing out 1, 2, or 3 candles, with A going first. The player that blows out the last candle wins. It is possible to solve this game using backwards induction. The numbers below may help you to organize your thoughts.

1 2 3 4 5 6 7 8 9 10 11

a. In equilibrium, which player wins the game?

b. On this player’s first move, how many candles should they blow out?

c. Pick a number of candles greater than 11 for which the other player would definitely be able to win the game. If no such number of candles exists (i.e. the same player would win for any number of candles 11 or greater), say so.

PLEASE USE ONLY FLOWGRITHM!!!

Design a modular program that accepts as input 20 numbers between 0 and 100 (including 0 and 100). The program should store the numbers in an array and then display the following information:

The lowest number in the array

The highest number in the array

The total of the numbers in the array

The average of the numbers in the array

Your program should consist of the following:

Module main. Accepts input of numbers and assigns them to an array. The array is traversed in order to find the highest number, lowest number, total and average of the numbers.

Module showStats. Displays the highest number, lowest number, total and average of the numbers.

Please Show the Flowgorithm used!!!

Sotheby’s has acquired a new Rothko painting and it has decided to auction it. There are two anonymous art-lover bidders of the painting, we will refer to them as Bidder A and Bidder B to protect their anonymity. In this auction format, Bidder A and Bidder B simultaneously submit a written bid for the Rothko painting. However, the auction has a weird twist. Sotheby’s requires that Bidder A must submit an odd number (in millions of US dollars) between 1 and 9 (that is, the bid must be 1, 3, 5, 7, or 9) and Bidder B’s bid must be an even number between 2 and 10 (that is, the bid must be 2, 4, 6, 8 or 10). The bidder who submits the highest bid wins the Rothko and pays a price equal to her bid. The winning bidder’s payoff equals his valuation of the item less the price she pays, whereas the losing bidder’s payoff is 0. Assume that Bidder A has a valuation of 7 (million US dollars) and that Bidder B has a valuation of 8 (million US dollars).

a) (10 points) Write down the strategic form of this game.

b) (10 points) Find all of the Nash equilibria of the game you wrote in part a.

Show every step of your calculations

1)A realtor has been told that 46 % of homeowners in a city prefer to have a finished basement. She surveys a group of 200 homeowners randomly chosen from her client list. Find the standard deviation of the proportion of homeowners in this sample who prefer a finished basement.

a) 0.46% b) 46% c) 3.5% d)0.5% e)1.8%

2)the number of games won by a minor league baseball team and the average attendance at their home game is analyzed. A regression analysis to predict the average attendance from the number of games won gives the model attendance = -2800 +197 wins. Predict the average attendance of a team with 55 wins.

a) 10,835 b)-2548 c)13,635 d)14 e)8,035

3)In a large class, the professor has each person toss a coin several times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. Use the 68-95-99.7 Rule to provide the appropriate response. If the students toss the coin 80 times each, about 95% should have proportions between what two numbers?

4)The average composite ACT score for Ohio students who took the test in 2003 was 21.4. Assume that the standard deviation is 1.05. In a random sample of 64 students who took the exam in 2003, what is the probability that the average composite ACT score is 22.5 or more? Make sure to identify the sampling distribution you use and check all necessary conditions.

Please assist with the following:

The National Highway Traffic Safety Administration (NHTSA) conducted a survey to learn about how drivers throughout the United States are using seat belts (Associated Press, August 25, 2003). Sample data consistent with the NHTSA survey are as follows:

1. For the United States, what is the probability that a
2. The seat belt usage probability for a U.S. driver a year earlier was .75. NHTSA chief Dr. Jeffrey Runge had hoped for a .78 probability in 2003. Would he have been pleased with the 2003 survey results?
3. What is the probability of seat belt usage by region of the country? What region has the highest seat belt usage?
4. What proportion of the drivers in the sample came from each region of the country? What region had the most drivers selected? What region had the second most drivers selected?
5. Assuming the total number of drivers in each region is the same, do you see any reason why the

probability estimate in part (a) might be too high? Explain.

Please calculate the air consumption rate below in litre/sec

The forge contains one large pneumatically operated hammer driven by 1 double acting cylinder, piston rod at one end only, bore 400mm, piston rod diameter 100mm, stroke 680mm. The piston executes 9 up strokes and 9 down strokes in 1.5 minutes then does nothing for 3.5 minutes, then repeats the cycle. The air is regulated to enter at 590 kPa.g. and in this machine the pressure in the cylinder may be taken to be this for the full stroke.