(b) Let A and B be two algorithms that solve the same problem P. Assume A's average-case running time is O(n) while its worst-case running time is O(n²). Both B's average-case and worst-case running time are O(n lg n). The constants hidden by the Big O-notation are much smaller for A than for B and A is much easier to implement than B. Now consider a number of real-world scenarios where you would have to solve problem P.
State which of the two algorithms would be the better choice in each of the following scenarios and justify your answer.
(i) The inputs are fairly small.
(ii) The inputs are big and fairly uniformly chosen from the set of all possible inputs. You want to process a large number of inputs and would like to minimize the total amount of time you spend on processing them all.
(iii) The inputs are big and heavily skewed towards A's worst case. As in the previous case - ii), you want to process a large number of inputs and would like to minimize the total amount of time you spend on processing them all.
(iv) The inputs are of moderate size, neither small nor huge. You would like to process them one at a time in real-time, as part of some interactive tool for the user to explore some data collection. Thus, you care about the response time on each individual input.

Answers

Answer 1

A's advantage lies in its better worst-case running time, while B excels in average-case and total processing time.

In scenarios where the inputs are fairly small, A would be the better choice due to its lower worst-case running time. For big inputs chosen uniformly, B would be the better choice as it has a better average-case running time and can minimize the total processing time.

In cases where the inputs are heavily skewed towards A's worst case, B would still be the better choice to minimize the overall processing time. For inputs of moderate size processed in real-time, A would be preferable as it has a lower worst-case running time and can provide quicker response times on individual inputs.

(i) For fairly small inputs, the worst-case running time of A (O(n²)) would have a smaller impact compared to B's worst-case running time (O(n log n)). Therefore, A would be a better choice as its average-case running time is also better.

(ii) When the inputs are big and uniformly chosen, B's average-case running time of O(n log n) would ensure faster processing compared to A's average-case running time of O(n). Thus, B would be the better choice to minimize the total processing time.

(iii) Even if the inputs are heavily skewed towards A's worst case, B would still be preferable. B's worst-case running time of O(n log n) would be more efficient than A's worst-case running time of O(n²) in minimizing the overall processing time.

(iv) For inputs of moderate size processed in real-time, A would be a better choice. A's lower worst-case running time of O(n²) would provide quicker response times on each individual input, which is important for interactive tools where users expect prompt feedback.

In summary, the choice between A and B depends on the specific characteristics of the problem and the requirements of the application. A's advantage lies in its better worst-case running time, while B excels in average-case and total processing time.

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Related Questions

a runway identified as runway 18 serves operations oriented to which approximate direction?

Answers

Runway 18 is oriented to the south. The numbers on runways are assigned based on their magnetic heading in degrees, with 09 being east, 18 being south, 27 being west, and 36 being north. The numbers are always rounded to the nearest ten degrees. So, runway 18 is actually oriented to 180 degrees, which is south.

Runways can be used in both directions, but they are typically designated as either "runway 18" or "runway 36" depending on the direction of the prevailing winds. If the prevailing winds are from the south, then runway 18 will be used for takeoffs and landings. If the prevailing winds are from the north, then runway 36 will be used.

It is important to note that the direction of a runway can change depending on the time of day and the weather conditions. Pilots always check the airport's NOTAMs (Notice to Airmen) before landing to make sure they are aware of any changes to the runway configuration.

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what is the condition for sampling frequency to reconstruct the information signal ?​

Answers


A continuous time-varying 1-D signal is sampled by narrow sampling pulses at a regular rate fr = 1/T, which must be at least twice the bandwidth of the signal. At first, it may be somewhat surprising that the original waveform can be reconstructed exactly from a set of discrete samples.

The IRT has a vital responsibility in gathering forensic evidence, which is defined as collecting and preserving the information that can be used to reconstruct events.

a. True
b. False

Answers

The answer would be true

discuss 7 habits of highly effective people and how important are ethics in today's society​

Answers

Answer:

Explanation:

The 7 Habits of Highly Effective People, is a book written and first published in 1989. It is a business and self-help book that was written by Stephen Covey. The seven habits include

Being proactive

Starting anything with the end in mind

First things first

Always thinking towards a win-win situation

Seeking initially to understand, then going on to want to be understood

Synergize, and lastly

Growing

The column is constructed from high-strength concrete and eight A992 steel reinforcing bars. If the column is subjected to an axial force of 200 kip.
a) Determine the average normal stress in the concrete and in each bar. Each bar has a diameter of 1 in.
b) Determine the required diameter of each bar so that 60% of the axial force is carried by concrete.

Answers

Answer:

d= 2.80inch

Explanation:

Given:

Axial force= 30kip

d= 1inch

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

The column is constructed from high-strength concrete and eight A992 steel reinforcing bars. If the column

A) The average normal stress in the concrete and in each bar are; σ_st = 15.52 kpi ; σ_con = 2.25 kpi

B) The required diameter of each bar so that 60% of the axial force is carried by concrete is; 0.94 inches

Concrete Column Design

We are told that;

Column has eight A992 steel reinforcing bars.

Column is subjected to an axial force of 200 kip.

A) Diameter of each bar is 1 inch.

Using equations of equilibrium, we have;

∑fy = 0;

8P_st + P_con = 200      ------(eq 1)

Using compatibility concept, we know from the image attached that;

δ_st = δ_con

where δ_st is change in length of steel and δ_con is change in length of concrete.

Thus;

δ_st = (P_st * L)/(A_st * E_st)

where;

P_st is tensile force of steel

L is length of steel = 3 ft = 36 inches

A_st is area of steel = π/4 * 1² = 0.7854 in²

E_st is young's modulus of steel = 29000 ksi

Similarly;

δ_con = (P_con * L)/(A_con * E_con)

where;

P_con is tensile force of concrete

L is length of concrete = 3 ft = 36 inches

E_con is young's modulus of concrete = 4200 ksi

A_con is area of concrete with diameter of 8 inches = (π/4 * 8²) - 6(π/4 * 1²) = 45.5531 in²

Thus;

From δ_st = δ_con;

(P_st * 36)/(0.7854 * 29000) = (P_con * 36)/(45.5531 * 4200)

Solving this gives;

P_st = 0.119P_con    -----(eq 2)

Put 0.119P_con for P_st in eq 1 to get;

8(0.119P_con) + P_con = 200  

1.952P_con = 200

P_con = 102.459 kip

Thus; P_st = 12.193 kip

Thus, average normal stress is;

Steel; σ_st = P_st/A_st

σ_st = 12.193/0.7854

σ_st = 15.52 kpi

Concrete; σ_con = P_con/A_con

σ_con = 102.459/45.5531

σ_con = 2.25 kpi

B) Since 60% of the axial force is carried by the concrete. Then it means that 40% will be carried by the steel.

Thus;

P_con = 60% * 200 = 120 kip

P_st = 40% * 200 = 80 kip

Using compatibility again;

δ_st = δ_con

Thus;

(P_st * L)/(A_st * E_st) = (P_con * L)/(A_con * E_con)

6(π/4 * d²)) = (80 * ((π/4 * 8²) - 6(π/4 * d²)) * 4200)/(120 * 29000)

⇒ 4.712d² = 0.09655(50.2655 - 4.712d²)

⇒ 4.712d²/0.09655 = 50.2655 - 4.712d²

⇒ 48.8037d² = 50.2655 - 4.712d²

Solving this gives;

d = 0.94 inches

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The column is constructed from high-strength concrete and eight A992 steel reinforcing bars. If the column

It is okay to speed 7-10 mph over the posted speed limit.
The police cannot write speeding tickets for that.

Answers

Answer:

it is okay depending on how u drive

Using the following components only, a power supply, protoboard, fixed capacitor (220 microfarads), fixed resistor (100 ohms), NPN transistor, potentiometer (10 kilo ohms), oscillator clock (1 mega hertz), variable cap, inductor, and a phonojack. Draw an A.M. transmitter.

Answers

In order to draw the amplitude modulation, connect the power supply to the protoboard, onnect the fixed capacitor (220 microfarads) in parallel with the power supply to filter any noise and connect the fixed resistor (100 ohms) in series with the base of the NPN transistor.

What is a amplitude modulation?

A transmitting device that employs Amplitude Modulation (AM) is a necessary component for transferring information across radio waves.

The audio input is passed through an equipping capacitor C1, barring any Direct Current (DC) potential from the audio generator. Then, transistor Q1 intensively amplifies the incoming signal after its been regulated in a base bias configuration by R1 and R2 voltage dividers.

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Read the house of Quality Article and Give an example
using house of Quality for an engineering design

Answers

The House of Quality is a tool used in engineering design to capture customer requirements and align them with engineering specifications.

The House of Quality is a widely used tool in the field of engineering design to ensure that customer requirements are effectively translated into engineering specifications. It provides a structured approach for capturing and organizing customer needs, determining the interrelationships between these needs, and aligning them with engineering characteristics or features. By using the House of Quality, engineers can prioritize design requirements, make informed decisions, and track the progress of design solutions.

For example, let's consider the design of a smartphone. The House of Quality for this design project would begin by identifying and prioritizing customer requirements through techniques like surveys, interviews, and market research. These customer requirements could include factors such as battery life, screen size, camera quality, durability, and user interface.

Next, engineers would determine the technical requirements or engineering characteristics that are necessary to meet these customer requirements. These technical requirements may include factors such as battery capacity, display resolution, processor speed, material selection, and operating system compatibility.

The House of Quality matrix is then created, where customer requirements are listed on one side, and technical requirements are listed on the other. The matrix allows engineers to identify the relationships between customer requirements and technical requirements, such as which technical features contribute most to satisfying specific customer needs.

By using the House of Quality, engineers can evaluate the importance of each customer requirement, prioritize design decisions, and track how well the design is meeting those requirements throughout the development process. It serves as a valuable tool for ensuring that the final product aligns with customer expectations and provides a systematic approach to engineering design.

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a fitting used to change the size of a square or rectangular duct is called a(n) ____________________.

Answers

A fitting used to change the size of a square or rectangular duct is called a duct transition.

A duct transition is a component used in HVAC (Heating, Ventilation, and Air Conditioning) systems to connect two ducts of different sizes, particularly in the case of square or rectangular ductwork. It allows for a smooth and efficient transition of air between ducts that have varying dimensions.

Duct transitions come in various shapes and sizes, depending on the specific requirements of the system. They are designed to ensure that the airflow is properly distributed while minimizing turbulence and pressure loss. The transition may involve changing the cross-sectional shape, dimensions, or both, to accommodate the desired airflow requirements.

These fittings are typically made of sheet metal, and they are carefully constructed to maintain the integrity and efficiency of the ductwork system. By using a duct transition, the size mismatch between square or rectangular ducts can be effectively managed, allowing for a seamless connection and optimal airflow throughout the HVAC system.

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Main rotor blades that do not have their blade tips on the same plane during rotating are said to be out of?

Answers

Main rotor blades that do not have their blade tips on the same plane during rotation are said to be out of track. This can cause an imbalance in the rotor system, leading to vibrations and reduced performance.

To correct this issue, the blades need to be adjusted to ensure that their tips are on the same plane. The process of adjusting the blade track involves measuring the distance between each blade tip and the hub, and then making adjustments to bring them into alignment.

This can be done by adjusting the pitch links or the swashplate, depending on the specific helicopter design. It is important to have the blade track properly set to maintain the smooth and efficient operation of the rotor system.

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A beaker is filled to the 500 ml mark with alcohol. What increase in volume (in ml) the beaker contain when the temperature changes from 5°C to 30°C? (Neglect the expansion of the beaker, evaporation of alcohol and absorption of water vapor by alcohol.) C°, Palcohol = 1.12 x 104/ °C

Answers

Answer:

1.4 mL

Explanation:

Given that:

volume of alcohol \(V_0\) = 500

Temperature change ΔT = (30° - 5°)C

=25° C

\(\beta_{ alcohol }= 1.12 \times 10^{-4} / ^0C\)

The increase in volume ΔV =  \(\alpha \times V_o \times \Delta T\)

\(= 500 \times 1.12 \times 10^{-4} / ^0 C\times 25^0 C\)

= 1.4 mL

Match the following terms and their definitions. Some terms will not be used.
Radio Frequency Identification Hybrid ERP
Robotics
Mass Customization
Core ERP Components
Disruptive Technology
Viral Marketing
Business to Business
Customer Analytics
Keyword
The traditional components included in most ERP systems (like accounting and finance, production and materials management and human resources) that primarily focus on internal operations .Splits the ERP functions between on-premises ERP system and one or more functions handled as Software as a Service (SaaS) in the cloud
Uses electronic tags and labels (and a reader and a computer network) to identify objects wirelessly over short distances and will likely replace the bar code
Applies to businesses buying from and selling to each other over the internet; examples include medical billing services, software sales and licensing
A new way of doing things that initially does not meet the needs of existing consumers and tends to open new markets and destroy old ones
A word used in a performing a search
A marketing phenomenon that facilitates and encourages people to pass along a marketing message

Answers

The traditional components included in most ERP systems (like accounting and finance, production and materials management and human resources) that primarily focus on internal operations.

Radio Frequency Identification is the term that uses electronic tags and labels (and a reader and a computer network) to identify objects wirelessly over short distances and will likely replace the bar code. Hybrid ERP is the term that splits the ERP functions between on-premises ERP system and one or more functions handled as Software as a Service (SaaS) in the cloud.

The traditional components included in most ERP systems (like accounting and finance, production and materials management and human resources) that primarily focus on internal operations are referred to as Core ERP Components.Business to Business applies to businesses buying from and selling to each other over the internet; examples include medical billing services, software sales and licensing.

Disruptive Technology is a new way of doing things that initially does not meet the needs of existing consumers and tends to open new markets and destroy old ones.Viral Marketing is a marketing phenomenon that facilitates and encourages people to pass along a marketing message.

A Keyword is a word used in performing a search.ERP system: An ERP (Enterprise Resource Planning) system is a type of software that is designed to manage and integrate a company's key business operations such as accounting, human resources, inventory management, and purchasing. Hybrid ERP: Splits the ERP functions between on-premises ERP system and one or more functions handled as Software as a Service (SaaS) in the cloud.

Hybrid ERP: Splits the ERP functions between on-premises ERP system and one or more functions handled as Software as a Service (SaaS) in the cloud. Radio Frequency Identification: Uses electronic tags and labels (and a reader and a computer network) to identify objects wirelessly over short distances and will likely replace the bar code.

Business to Business: Applies to businesses buying from and selling to each other over the internet; examples include medical billing services, software sales and licensing.

Disruptive Technology: A new way of doing things that initially does not meet the needs of existing consumers and tends to open new markets and destroy old ones. Viral Marketing: A marketing phenomenon that facilitates and encourages people to pass along a marketing message. Keyword: A word used in performing a search.

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The double gears rolls on the stationary left rack R. Knowing that the rack on the right has a constant velocity of 2 ft/s, determine(a) the angular velocity of the gear,(b) the velocities of points A and D

Answers

Angular velocity: The rate of change of angular displacement of a body with respect to time is angular velocity. It is de Angular velocity:

Angular velocity is a physical quantity used to describe the rate of change of angular displacement of an object or particle with respect to time. It is measured in radians per second (rad/s) or degrees per second (°/s). The angular velocity is a vector quantity and its direction is perpendicular to the plane of rotation. The magnitude of the angular velocity depends on the rate of change of the angle swept by an object as it rotates about a fixed point. It is commonly used in fields such as physics, engineering, and astronomy to describe the motion of rotating objects or particles. It is also an important parameter for understanding the dynamics of rotating systems and can be used to calculate other physical quantities such as angular acceleration, torque, and moment of inertia.

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The double gears rolls on the stationary left rack R. Knowing that the rack on the right has a constant

three examples of Dutch gable roof designs

Answers

Answer:

Here are three examples of Dutch gable roof designs:

Full Dutch Gable Roof: This design features a gable (triangular) end on the main roof with a smaller gable on top of it, forming a combination of a gable and hip roof. The triangular gable end typically has curved edges, resembling a bell or a curved shape, and is often adorned with decorative elements such as finials or pediments.Half Dutch Gable Roof: This design includes a gable end on only one side of the main roof, while the other side is a hip roof. The gable end is usually placed at one end of the roof ridge, creating an asymmetrical look. This design is often used when a full gable is not desired or when space or structural considerations require a different approach.Dutch Hip Roof: Also known as a "Dutch gambrel" roof, this design features a hip roof with two sloping sides on each face, and a steeper lower slope and shallower upper slope, creating a distinctive bell-shaped curve. The Dutch hip roof design is commonly used in barns, sheds, and some residential buildings, as it provides additional space under the roof for storage or living purposes.

Identify three advantages to being accountable for your gear in the fire camp

Answers

Being accountable for your gear in the fire camp is essential, and it is important to ensure that you have all of the necessary equipment for the job. There are several advantages to being accountable for your gear in the fire camp, and  Increased efficiency:

One of the biggest advantages of being accountable for your gear in the fire camp is increased efficiency. When you have all of the necessary equipment and know exactly where it is, you can quickly and easily access it when you need it. This can help you to work faster and more efficiently, which can be critical in a fire situation

Safety: Another advantage of being accountable for your gear in the fire camp is safety. When you have all of your equipment and know exactly where it is, you can ensure that you are properly protected at all times. This can be especially important in a fire situation where there are many hazards present.

Better communication:  being accountable for your gear in the fire camp can lead to better communication. When everyone knows where their gear is and has it readily available, they can communicate more effectively with one another. This can help to ensure that everyone is on the same page and that there are no misunderstandings or miscommunications.

Being accountable for your gear in the fire camp is critical for a successful mission. By keeping track of your equipment and ensuring that it is always available when you need it, you can increase efficiency, safety, and communication, which can be essential in a fire situation.

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This agency develops standards for pressure vessels and pressure relief valves, as well as the design, welding, and materials that may be used in pipeline construction.
Select one:
a. American Petroleum Institute
b. American Society of Mechanical Engineers
c. American Gas Association
d. National Fire Protection Association

Answers

Answer:

b. American Society of Mechanical Engineers

Explanation:

The "American Society of Mechanical Engineers" (ASME) is an organization that ensures the development of engineering fields. It is an accreditation organization that ensures parties will comply to the ASME Boiler and Pressure Vessel Code or BPVC.

The BPVC is a standard being followed by ASME in order to regulate the different pressure vessels and valves. Such standard prevents boiler explosion incidents.

do you play escape from tarkov if so do you want to play it with me​

Answers

Answer:

i play it

Explanation:

A low-altitude meteorological research balloon, temperature sensor, and radio transmitter together weigh 2.5 lb. When inflated with helium, the balloon is spherical with a diameter of 4 ft. The volume of the transmitter can be neglected when compared to the balloon's size. The balloon is released from ground level and quickly reaches its terminal ascent velocity. Neglecting variations in the atmosphere's density, how long does it take the balloon to reach an altitude of 1000 ft?

Answers

Answer:

12 mins

Explanation:

The summation of the forces in vertical direction

= Fb - Fd - w = 0 ∴ Fd = Fb - w  ----- ( 1 )

Fb ( buoyant force ) = Pair * g * Vballoon ------- ( 2 )

Pair = air density , Vballoon = volume of balloon

Vballoon = \(\frac{\pi D^3}{6}\) ,  where D = 4  ∴  Vballoon = 33.51 ft^3

g = 32.2 ft/s^2

From property tables

Pair = 2.33 * 10^-3 slug/ft^3

μ ( dynamic viscosity ) = 3.8 * 10^-7 slug/ft.s

Insert values into equation 2

Fb = ( 2.33 * 10^-3 ) * ( 32.2 ) *( 33.51 )  = 2.514 Ib

∴ Fd = 2.514 - 2.5 = 0.014 Ib ( equation 1 )

Assuming that flow is Laminar  and  RE < 1

Re = (Pair * vd) / μair   -------- ( 3 )

where:  Pair = 2.33 * 10^-3 slug/ft^3 ,  vd = ( 987 * 4 ) ft^2/s ,   μair = 3.8 * 10^-7 slug/ft.s

Insert values into equation 3

Re = 2.4 * 10^7 (  this means that the assumption above is wrong )

Hence we will use drag force law

Assume Cd = 0.5

Express  Fd using the relation below

Fd = 1/2* Cd * Pair * AV^2

therefore V = 1.39 ft/s

Recalculate  Reynold's number using  v = 1.39 ft/s

Re = 34091

from the figure Cd ≈ 0.5 at Re = 34091  

Finally calculate the rise time ( time taken to reach an altitude of 1000 ft )

t = h/v

  = 1000 / 1.39 = 719 seconds ≈ 12 mins

A low-altitude meteorological research balloon, temperature sensor, and radio transmitter together weigh

What happens to the energy stored in a capacitor connected to a battery when a dielectric is inserted? was work done in the process?

Answers

When a dielectric is inserted into a capacitor connected to a battery, the energy stored in the capacitor increases. This is because the electric field between the plates decreases due to the presence of the dielectric, which leads to an increase in capacitance and an increase in energy stored in the capacitor.

The capacitance is defined as the ability of a capacitor to store energy in the form of an electric charge, and it is directly proportional to the distance between the plates and inversely proportional to the dielectric constant of the medium between the plates.


The work done in the process of inserting a dielectric into a capacitor is given by the equation W = Fd, where W is the work done, F is the force required to insert the dielectric, and d is the distance over which the force is applied. The force required to insert the dielectric is proportional to the change in electric field between the plates, which in turn is proportional to the dielectric constant of the medium.


The energy stored in a capacitor connected to a battery increases when a dielectric is inserted, and the work done in the process depends on the dielectric constant of the medium.

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Given a 250Ω strain gage with a gage factor of 1 which is mounted to a metal bar 0.6m long. The bar is stretched under a tension force and the resistance changes to 251.4 Ω. How much was the bar stretched? _ _mm (Answer in mm to 2 decimal places) What is the length of the bar after it is stretched?

Answers

Answer:

the bar was stretched by \(\mathbf{\Delta L = 3.36 \ mm}\)

the length of the after it was stretched is \(\mathbf{L_{new} = 603.36 \ mm}\)

Explanation:

From the information given:

The strain gauge resistance R = 250 Ω

The gauge factor = 1

The original length L = 0.6 m = 600 mm

After the bar is being stretched under tension force;

the new resistance \(R_{new} = 251.42\)

The gauge factor \(G = \dfrac{\Delta R/R}{\Delta L /L }\)

where;

\(\Delta R = R_{new} - R\)   and \(\Delta L = L_{new} - L\)

ΔR = 251.4 - 250

ΔR = 1.4 Ω

\(\Delta L = L_{new} - L\)

\(L_{new} = L + L (\dfrac{\Delta R/R}{G})\)

\(L_{new} = 0.6 + 0.6 (\dfrac{\Delta 1.4/250}{1})\)

\(L_{new} = 0.60336 \ m\)

\(\mathbf{L_{new} = 603.36 \ mm}\)

Thus, the length of the after it was stretched is \(\mathbf{L_{new} = 603.36 \ mm}\)

Thus, the bar was stretched by \(\Delta L = L_{new} - L\)

\(\Delta L = (603.36 - 600) \ mm\)

\(\mathbf{\Delta L = 3.36 \ mm}\)

what is the focus of the sustainability pillars of the well architected?

Answers

Answer:

well the idea that cloud applications should be designed to minimize their environmental impact

Answer: well the idea that cloud applications should be designed to minimize their environmental impact

Explanation:

The largest class of errors in software engineering can be attributed to _______.

Answers

Answer:

improper imput validation

Explanation:

The gear with the least number of teeth is called the

Answers

Its called the Spur gear

Find E[x] when x is sum of two fair dice?

Answers

Answer:

When two fair dice are rolled, 6×6=36 observations are obtained.

P(X=2)=P(1,1)=

36

1

P(X=3)=P(1,2)+P(2,1)=

36

2

=

18

1

P(X=4)=P(1,3)+P(2,2)+P(3,1)=

36

3

=

12

1

P(X=5)=P(1,4)+P(2,3)+P(3,2)+P(4,1)=

36

4

=

9

1

P(X=6)=P(1,5)+P(2,4)+P(3,3)+P(4,2)+P(5,1)=

36

5

P(X=7)=P(1,6)+P(2,5)+P(3,4)+P(4,3)+P(5,2)+P(6,1)=

36

6

=

6

1

P(X=8)=P(2,6)+P(3,5)+P(4,4)+P(5,3)+P(6,2)=

36

5

P(X=9)=P(3,6)+P(4,5)+P(5,4)+P(6,3)=

36

4

=

9

1

P(X=10)=P(4,6)+P(5,5)+P(6,4)=

36

3

=

12

1

P(X=11)=P(5,6)+P(6,5)=

36

2

=

18

1

P(X=12)=P(6,6)=

36

1

Therefore, the required probability distribution is as follows.

Then, E(X)=∑X

i

⋅P(X

i

)

=2×

36

1

+3×

18

1

+4×

12

1

+5×

9

1

+6×

36

5

+7×

6

1

+8×

36

5

+9×

9

1

+10×

12

1

+11×

18

1

+12×

36

1

=

18

1

+

6

1

+

3

1

+

9

5

+

6

5

+

6

7

+

9

10

+1+

6

5

+

18

11

+

3

1

=7

E(X

2

)=∑X

i

2

⋅P(X

i

)

=4×

36

1

+9×

18

1

+16×

12

1

+25×

9

1

+36×

36

5

+49×

6

1

+64×

36

5

+81×

9

1

+100×

12

1

+121×

18

1

+144×

36

1

=

9

1

+

2

1

+

3

4

+

9

25

+5+

6

49

+

9

80

+9+

3

25

+

18

121

+4

=

18

987

=

6

329

=54.833

Then, Var(X)=E(X

2

)−[E(X)]

2

=54.833−(7)

2

=54.833−49

=5.833

∴ Standard deviation =

Var(X)

=

5.833

=2.415

Refrigerant 134a enters the evaporator of a refrigeration system operating at steady state at -16oC and a quality of 20% at a velocity of 5 m/s. At the exit, the refrigerant is a saturated vapor at -16oC. The evaporator flow channel has constant diameter of 1.7 cm. Determine the mass flow rate of the refrigerant, in kg/s, and the velocity at the exit, in m/s.

Answers

Answer:

mass flow rate = 0.0534 kg/sec

velocity at exit = 29.34 m/sec

Explanation:

From the information given:

Inlet:

Temperature \(T_1 = -16^0\ C\)

Quality \(x_1 = 0.2\)

Outlet:

Temperature \(T_2 = -16^0 C\)

Quality  \(x_2 = 1\)

The following data were obtained at saturation properties of R134a at the temperature of -16° C

\(v_f= 0.7428 \times 10^{-3} \ m^3/kg \\ \\ v_g = 0.1247 \ m^3 /kg\)

\(v_1 = v_f + x_1 ( vg - ( v_f)) \\ \\ v_1 = 0.7428 \times 10^{-3} + 0.2 (0.1247 -(0.7428 \times 10^{-3})) \\ \\ v_1 = 0.0255 \ m^3/kg \\ \\ \\ v_2 = v_g = 0.1247 \ m^3/kg\)

\(m = \rho_1A_1v_1 = \rho_2A_2v_2 \\ \\ m = \dfrac{1}{0.0255} \times \dfrac{\pi}{4}\times (1.7 \times 10^{-2})^2\times 6 \\ \\ \mathbf{m = 0.0534 \ kg/sec}\)

\(\rho_1A_1v_1 = \rho_2A_2v_2 \\ \\ A_1 =A_2 \\ \\ \rho_1v_1 = \rho_2v_2 \\ \\ \implies \dfrac{1}{0.0255} \times6 = \dfrac{1}{0.1247}\times (v_2)\\ \\ \\\mathbf{\\ v_2 = 29.34 \ m/sec}\)

assuming complementary inputs are available, the minimum number of transistors needed to realize a two input xor gate is:

Answers

Assuming complementary inputs are available, the minimum number of transistors needed to realize a two input xor gate is 4.

If two inputs work well together in the production process, they are said to be complements. Since the inputs are used in fixed proportions, if the price of one input lowers, more of it will be sought after, increasing the demand for the other input.

In this study, a model of anticompetitive exclusive contracts with complimentary inputs is built. A downstream company converts a variety of complementary inputs into finished goods. When complementary input providers hold a dominant position in a specific input market, upstream competition price within that market benefits both the downstream firm and the complementary inputs providers by driving up complementary input prices.

Thus, even when entry that is socially optimal is permitted, the downstream firm is unable to generate higher profits. Therefore, even in the absence of scale economies, downstream competition, and relationship-specific investment, the inefficient incumbent provider can prevent socially efficient entrance by employing exclusive contracts.

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This problem looks at how to apply concepts in the Advanced Multi-Project Management book in your own environment. First, go to www.realization.com and look at the Case Studies tab. There are many short articles describing companies that saw significant improvements using the concepts laid out in our textbook. This web site is selling a software package so that will be referenced in all the articles, so you need to look beyond their sales pitch. Read over a few of the case studies that are related to your business or may have some type of loose relationship with how you get work done in your business. Get some ideas for metrics that were used to show improvements and how project delivery issues were solved.


Next, look within your own environment and identify a challenge related to management of multiple projects. This could be within a small team or across a larger organization. If you work on long-term projects, then consider a smaller sub-set of work. Consider the six gears of multi-project management discussed in the text (introduced in Figure 1.2) to create a plan for reducing your overall project duration and increase projects (or tasks) completed within 3 to 6 months. This doesn’t have to be complex but should be actionable. Start with a statement of the problem/challenge you want to address and why improvements in this area will benefit your team or business. This is essentially step 1 in the 10-step process. Then consider each gear in the context of your environment to create your plan. Using the 10-step plan may help you organize your thoughts. If you feel one of the gears doesn’t apply to your situation then be sure to explain why that is the case. (30 points)


Lastly, look ahead to 3 or 6 months from now (whichever time frame applies to your case) and write a short case study (no more than 2 pages double-), following the model of the case studies you


reviewed on www.realization.com. Assume you were able to deliver on items identified in your plan and show significant improvements. My objective with this is problem overall is to get you thinking about how you can use ideas we discussed to drive relatively short-term improvements and then market to your team what you have done. (20 points)`


Link to the Selected Case Study

https://blog.realization.com/blog/innovations-and-improvements-at-almaraz-nuclear-power

Answers

Statement of the Problem/Challenge: Our organization is currently struggling with managing multiple projects simultaneously, leading to longer project durations and delays in project delivery. Our team is often overburdened with work, leading to burnout and a decrease in productivity.

This has resulted in missed deadlines, dissatisfied clients, and increased costs. Improvements in this area will benefit our team by reducing stress levels, increasing productivity, and improving our reputation with clients.

How to explain the information

Plan for reducing overall project duration and increasing projects completed within 3 to 6 months:

Step 1: Define and prioritize projects - We will prioritize projects based on their impact on our business goals, their complexity, and their timeline. This will help us allocate resources effectively and ensure that we are focusing on the most critical projects.

Step 2: Improve resource utilization - We will improve resource utilization by identifying bottlenecks in our processes and addressing them. This will involve ensuring that our team members are working on tasks that align with their skills and experience and reducing the number of handoffs in the process.

Step 3: Optimize project sequencing - We will optimize project sequencing by considering dependencies between projects and prioritizing those that have the most significant impact on our business goals. This will ensure that we are working on the most critical projects first, leading to faster project completion.

Step 4: Standardize processes - We will standardize our processes to ensure that we are working efficiently and effectively. This will involve documenting our processes and identifying areas where we can streamline our workflow.

Step 5: Implement project portfolio management - We will implement project portfolio management to help us manage our projects effectively. This will involve identifying our project portfolio's strategic goals, analyzing each project's risk, and determining the optimal project mix to achieve our business goals.

Step 6: Improve project management skills - We will improve our project management skills by providing training and development opportunities for our team members. This will ensure that our team members have the skills they need to manage projects effectively and efficiently.

Case Study: Our organization recently implemented a plan to reduce project duration and increase projects completed within three to six months. We started by defining and prioritizing our projects based on their impact on our business goals, complexity, and timeline. This helped us allocate resources effectively and ensure that we were focusing on the most critical projects. We then worked on improving resource utilization by identifying bottlenecks in our processes and addressing them. This involved ensuring that our team members were working on tasks that aligned with their skills and experience, leading to a reduction in handoffs.

We also optimized project sequencing by considering dependencies between projects and prioritizing those that had the most significant impact on our business goals. This led to faster project completion and increased client satisfaction. Additionally, we standardized our processes to ensure that we were working efficiently and effectively, and implemented project portfolio management to help us manage our projects effectively. This involved identifying our project portfolio's strategic goals, analyzing each project's risk, and determining the optimal project mix to achieve our business goals.

Finally, we worked on improving our project management skills by providing training and development opportunities for our team members. This ensured that our team members had the skills they needed to manage projects effectively and efficiently. As a result, we were able to reduce project duration by 20% and increase projects completed within three to six months by 30%. Our team members were less stressed and more productive, leading to a better work environment and improved client satisfaction.

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A room has a width of 14.1 feet, a length of 15.5 feet, and a ceiling height of 12.0 ft. The average flow rate for this room's air conditioning unit is

Answers

Answer:

Your question lacks the time required hence i will calculate the Average flow rate using a general concept and an assumed time value of 25 seconds  

ANSWER : 104.904 ft^3/sec

Explanation:

General concept : Average flow rate is the volume of fluid per unit time through an area

Hence the average flow rate of the air conditioning unit of this room

Volume of the room / time taken for the air to cycle the room = v / t

assuming the time taken = 25 seconds

volume of room = width * length * height

                          = 14.1 * 15.5 * 12 = 2622.6 ft^3

Average flow rate = V/ t

                              = 2622.6 / 25  = 104.904 ft^3/sec

What is the main difference between a generator and a motor?
A
Generator - mechanical energy to electrical energy
Motor - electrical energy to mechanical energy
a motor and generator only use electrical energy
Generator - electrical energy to mechanical energy
Motor - mechanical energy to electrical energy
D
They are the same machine.

Answers

Answer:

genorator- electrical to mechanical

motor- mechanical to electrical

estimate the average, maximum day and peak hours water demand for a community of 55000population.
calculate the design water capacity of the water distribution system and the water treatment plant assume average water demand of 170lcpd

Answers

The combined design water capacity of the water treatment facility and distribution system should be 19,221,000 litres per day.

What is the equation for the highest daily demand?

Maximum Day Demand (MDD) x 1.80 W3-01.3 System Parameters = Peak Hour Demand (PHD). A. Average Day Demand (ADD) multiplied by 2.25 to get Maximum Day Demand (MDD).

Average water demand = Population x Average water demand per capita

Average water demand = 55,000 x 170 liters per capita per day

Average water demand = 9,350,000 liters per day

Maximum day water demand = 1.5 x 9,350,000 liters per day

Maximum day water demand = 14,025,000 liters per day

Peak hour water demand = 170 liters per capita per day x 55,000 people x 2 / 24 hours x 4 peak hours

Peak hour water demand = 9,067 liters per hour

Fire demand = 3 liters per second x 60 seconds per minute x 24 hours

Fire demand = 5,400 liters per day

Design water capacity = 14,025,000 liters per day + 5,400 liters per day + (0.2 x 9,350,000 liters per day)

Design water capacity = 19,221,000 liters per day

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