Considering that air is being compressed in a polytropic process having an initial pressure and temperature of 200 kPa and 355 K respectively to 400 kPa and 700 K. a) Calculate the specific volume for both initially and final state. (5) b) Determine the exponent (n) of the polytropic process. (5) c) Calculate the specific work of the process. (5) Question 2 [15] A gas initially at a pressure of 40 kPa and a volume of 100 mL is compressed until the final pressure of 200 kPa and its volume is being reduced to half. During the process, the internal energy of the gas has increases by 2.1 KJ. Determine the heat transfer in the process. (15) Question 3 [20] A cylindrical having a frictionless piston contains 3.45 moles of nitrogen (N2) at 300 °C having an initial volume of 4 liters (L). Determine the work done by the nitrogen gas if it undergoes a reversible isothermal expansion process until the volume doubles. (20)
Answers
The specific volume for the initial state is 5.17 m3/kg. The exponent (n) of the polytropic process is 1.22. The specific work of the process is 264.7 kJ/kg. The heat transfer in the process is 266.8 kJ. The work done by the nitrogen gas is 1364.6 J.
The specific volume for the initial state is calculated as follows:
\(v_\g1 = RT/P1 \\= (287 J/kgK)(355 K) / (200 kPa) \\= 4.42 m3/kg\)
The specific volume for the final state is calculated as follows:
\(v_2 = RT/P_2 \\= (287 J/kgK)(700 K) / (400 kPa) \\= 5.17 m3/kg\)
b. The exponent (n) of the polytropic process is calculated as follows:
\(n = (v2/v1)^(1/(P2/P1)) = (5.17/4.42)^(1/(400/200)) = 1.22\)
c. The specific work of the process is calculated as follows:
\(w = (P2v_2 - P_1v_1)/n \\= (400 kPa)(5.17 m^3/kg) - (200 kPa)(4.42 m^3/kg) / 1.22 \\= 264.7 kJ/kg\)
The heat transfer in the process is calculated as follows:
\(Q = \ delta+ W = 2.1 kJ + 264.7 kJ/kg = 266.8 kJ\)
The work done by the nitrogen gas is calculated as follows:
\(W = nRTln(V2/V1) \\= (3.45 mol)(8.314 J/molK)(300 K)ln(2V1/V1) \\= 1364.6 J\)
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Related Questions
a steel compression member has a fixed supportat one end and a frictionless ball joint at the other end asshown. the total applied design load consists of a dead loadof 7 kips and an unspecified live load. this compressionmember is controlled by which type of buckling?
Answers
A steel compression member with a fixed support at one end and a frictionless ball joint at the other end, as described, is subject to a specific type of buckling known as Euler's critical buckling.
This buckling phenomenon occurs when the applied load reaches a critical value, causing the member to suddenly buckle and deform. In this case, the total applied design load consists of a 7 kip dead load and an unspecified live load. Since the fixed support provides full restraint, while the frictionless ball joint allows rotational movement, the member experiences one end fixed, and one end pinned boundary conditions. This configuration results in a lower buckling load capacity compared to a member with fixed supports at both ends, making it crucial to consider Euler's critical buckling when designing this compression member.
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Implement a Java method sumArray that is passed a double array a as its parameter and returns the sum of the values contained within the array a.
Answers
To implement a Java method sumArray that returns the sum of the values in a given double array, you can write the following code.
This method takes in a double array as its parameter and initializes a variable called "sum" to zero. It then iterates through the array using a for loop, adding each value in the array to the sum. Finally, it returns the total sum of the values in the array. The sumArray method starts by creating a variable called "sum" and setting it equal to zero. This variable will be used to keep track of the total sum of the array values. For each index in the array, the method adds the value at that index to the "sum" variable using the += operator. This will accumulate the sum of all the values in the array.
```java
public static double sumArray(double[] a) {
double sum = 0;
for (int i = 0; i < a.length; i++) {
sum += a[i];
}
return sum;
}
```
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Calculate the percentage of recyclables in high socioeconomic localities.
Answers
Answer:
The percentage of recycling in high socioeconomic localities is 11.02%.
Explanation:
Since in high socioeconomic localities, 10% of paper is recycled, 12% of plastic, 1.7% of fabrics, 1.2% of rubbers, 0.9% of metals, 3.5% of glass, 33% of food wastes, 35% soil and 1.9% miscellaneous, to determine the average recycling percentage the following calculation must be performed:
(10 + 12 + 1.7 + 1.2 + 0.9 + 3.5 + 33 + 35 + 1.9) / 9 = X
99.2 / 9 = X
11.02 = X
Therefore, the percentage of recycling in high socioeconomic localities is 11.02%.
which of the following is not a common reason cited for building large dams on rivers?
a. raise groundwater levels upstream b. flood control c. recreation
Answers
Raise groundwater levels upstream is not a common reason cited for building large dams on rivers.
The correct answer to the given question is option a.
Out of the given options, "raise groundwater levels upstream" is not a common reason cited for building large dams on rivers. The primary reasons for building large dams are flood control, hydroelectric power generation, and water storage for irrigation and drinking purposes.
Flood control is a major reason for building large dams as they can regulate the flow of water during heavy rainfall or storms, preventing floods downstream. Hydroelectric power generation is another reason for building large dams as they can produce a significant amount of electricity, reducing the dependence on non-renewable sources.
Water storage for irrigation and drinking purposes is also a common reason for building large dams, particularly in areas where water scarcity is a significant problem. Dams can store water during the wet season and release it during the dry season, providing a reliable source of water for agriculture and drinking purposes.
Recreation is also a reason for building dams, particularly in areas where the reservoirs created by the dams can be used for boating, fishing, and other water-based recreational activities.
In conclusion, while there are multiple reasons for building large dams on rivers, raising groundwater levels upstream is not a common reason cited for building such structures.
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a design team is developing a prototype co 2 cartridge for a manufacturer of rubber rafts. this cartridge will allow a user to quickly inflate a raft.
Answers
A prototype is produced, tested, and then modified as necessary until an acceptable result is obtained from which the entire system or product can be developed using the prototyping model, which is a systems development technique.
Explain about the prototype?Developed to test a concept or procedure, a prototype is an early sample, model, or release of a product. Its usage spans a wide range of fields, including software development, design, electronics, and semantics. In most cases, system analysts and users will use a prototype to assess a new design that will improve precision.
An early or initial model of something, such a machine, is called a prototype. From the prototype, new forms are created or replicated. The prototype is what the aeronautical engineers design and test on in the research and development division of a corporation that, for instance, manufactures flying machines.
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The registry is divided into sections and levels of data. Multiple sections exist to organize data by purpose. What are these individual sections called?a.Branchesb.Hivesc. Nestsd. Keys
Answers
The individual sections in the registry are called hives. These hives are organized by purpose, and they contain multiple levels of data that are essential to the functioning of the Windows operating system. The registry is a hierarchical database that stores configuration settings and options for the system and all installed programs.
The hives in the registry are divided into sections, and each section serves a specific purpose. These sections include the HKEY_CLASSES_ROOT hive, which contains information about file associations and OLE object classes, the HKEY_CURRENT_USER hive, which contains information about the currently logged-in user, the HKEY_LOCAL_MACHINE hive, which contains information about the system's hardware and software configuration, the HKEY_USERS hive, which contains information about all users who have logged into the system, and the HKEY_CURRENT_CONFIG hive, which contains information about the current hardware profile. These hives are further divided into keys, which are used to organize data within each hive. In summary, the registry is a vital component of the Windows operating system, and it is organized into multiple hives and keys that are essential for the functioning of the system and all installed programs.For such more question on configuration
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Determine the bare module cost of a 1-shell-pass, 2-tube-pass(1 - 2) heat exchanger designed for the following operating conditions: Maximum operating pressure (tube side) = 30 barg Maximum operating pressure (shell side) = 5 barg Process fluid in tubes requires stainless steel MOC Shell-side utility (cooling water) requires carbon steel MOC Heat exchange area = 160 m^2
Answers
The heat exchanger's estimated bare module price is $199,101.
How much does a bare module cost, exactly?The pricing of a bare module includes all necessary hardware and installation labour within a 3-meter radius. Investment = above plus royalties plus real estate plus supplies + legal + working capital plus construction-related interest Working capital is equal to 10%+ of invested fixed capital. This could differ greatly.
Bare module cost = (Cost of tubes + Cost of shell + Cost of bundle) x (Cost factor)
Tube length = \(160 / (2 x 1.3) = 61.54 m\)
Cost of tubes = \(61.54 x $50 = $3,077\)
Shell length = \(1.25 x 61.54 = 76.92 m\)
Cost of shell = \(1.5 x 76.92 x $500 = $57,690\)
Number of tubes = \(61.54 x 10 = 615\)
Assuming a cost per tube of $10, we get:
Cost of bundle =\(615 x $10 = $6,150\)
Bare module cost = \(($3,077 + $57,690 + $6,150) x 3 = $199,101\)
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which of the following statements are true regarding elastic deformation? (3 answers are correct) group of answer choices emptying and filling a reservoir would result in elastic deformation of the crust fold structures are the result of elastic deformation isostatic uplift following deglaciation represents elastic deformation stress and strain are proportional stress and strain are not proportional
Answers
The correct statements are 2, 3 and 5. Elastic deformation is a temporary deformation of a material. When a force is applied to a material, it will deform, and the amount of deformation will be proportional to the force applied.
Elastic deformation refers to the reversible deformation of a material when a force is applied and it is released. When the load is removed, the material will return to its original shape. Elastic deformation is characterized by its capability to withstand stress without causing any permanent change in the shape of the material or its molecular structure. The following are the correct statements regarding elastic deformation: Stress and strain are proportional; hence, when stress is applied, the deformation or strain is proportional to the stress. Isostatic uplift following deglaciation represents elastic deformation. This statement is correct. Fold structures are the result of elastic deformation. This statement is correct.
Therefore, If the force is removed, the material will return to its original state. The explanation for elastic deformation is that the stress and strain are proportional, and the deformation will not cause any permanent change in the shape or molecular structure of the material.
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how many types of lavatory there is?
Answers
Answer:
there are generally two types of toilet bowl types- round and elongated.
1–13 A fatigue test is performed on rotating beam specimens where, for each rotation cycle, the specimens experience tensile and compressive stresses of equal magnitude. The cycles-to-failure experience with 69 specimens of 5160H steel from 1.25-in hexagonal bar stock was as follows:
L 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210
f 2 1 3 5 8 12 6 10 8 5 2 3 2 1 0 1
where L is the life in thousands of cycles, and f is the class frequency of failures.
(a) Estimate the mean and standard deviation of the life for the population from which the sample was drawn.
(b) Presuming the distribution is normal, how many specimens are predicted to fail at less than 115 kcycles?
Answers
The mean = 122.8985
The standard deviation = 30.2976
Specimens are predicted to fail at less than 115 kcycles are 27.4042
How to solve for mean and standard deviationFirst we have to solve for L²
Square each of the values and add it
60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210
From the output derived in the image
Mean of life = \(\frac{1}{69}*8490\)
= 122.8985
Next we have to solve for the standard deviation
Standard deviation =
\(\sqrt{\frac{1104600-69(122.8985)^2}{69-1} }\)
Standard deviation = 30.2976
B. L = 115 cycles
solve for Z
\(Z = \frac{115-122.8985}{30.2976}\)
Z = -0.260698
We have to use a stat calculator to get the CDF of Z = -0.260698
0.397162
Specimens that failed at 115 = 69 * 0.397162
= 27.4042
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A 1020 Cold-Drawn steel shaft is to transmit 20 hp while rotating at 1750 rpm. Calculate the transmitted torque in lbs. in. Ignore the effect of friction.If the shaft in Q2 was made of ASTM 30 cast iron, what would be the factor of safety
Answers
Answer:
Question 1 A 1020 Cold-Drawn steel shaft is to transmit 20 hp while rotating at 1750 rpm. Calculate the transmitted torque in lbs. in. Ignore the effect of friction. Answer with three decimal points. 60.024 Question 2 Based on the maximum-shear-stress theory, determine the minimum diameter in inches for the shaft in Q1 to provide a safety factor of 3. Assume Sy = 57 Kpsi. Answer with three decimal points. 0.728 Question 3 If the shaft in Q2 was made of ASTM 30 cast iron, what would be the factor of safety? Assume Sut = 31 Kpsi, Suc = 109 Kpsi 0 2.1 O 2.0 O 2.5 0 2.4 2.3 O 2.2
Explanation:
hope it helps
Determine the NPW, AW, FW and IRR of the following engineering project. • Initial Cost ($400,000) • The Study Period 15 years Salvage (Market) Value of the project 15% of the initial cost Operating Costs in the first year ($9,000) • Cost Increase 3% per year • Benefits in the first year $40,000 Benefit Increase 9% per year • MARR 8% per year Is the Project acceptable? WHY?
Answers
The CEO of PT ABC asked the project manager to use PW, AW, and FW to prioritize the project while also adding the expected reject rate between each alternative.
Thus, This implies that the anticipated revenue will vary depending on the choice. The three projects are prioritized by the project manager. The CEO will assess which option will be more profitable than the others.
The quantity of money that is accessible for investment, as well as where and how much it cost (for example, whether it came from equity funds or borrowed funds).
The quantity of worthwhile projects that are open to investment and their objective (i.e., whether they maintain current operations and serve a necessary purpose or whether they enlarge current operations and serve a discretionary purpose) and PW.
Thus, The CEO of PT ABC asked the project manager to use PW, AW, and FW to prioritize the project while also adding the expected reject rate between each alternative.
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What hardware and peripherals are you using right now to take this course? What software and operating system (OS)? Describe the basic details of how the things you write for this course are sent through the internet, including the role of packets, an ISP, and a server.
Answers
Instead, many common tasks, such as sending a network packet or displaying text on a standard output device, such as a display, can be offloaded to system software that serves as an intermediary between the applications and the hardware. The system software provides a consistent and repeatable way for applications to interact with the hardware without the applications needing to know any details about the hardware.
The hardware that I am using to take this course is a Laptop computer running on windows operating system.
What are the basic details of how the things written for this course are sent through the internet, including the role of packets, an ISP, and a server.When you send a query, like your previous message, your laptop's operating system breaks it into smaller units called packets. These packets contain parts of your message, destination address, and other metadata.
They're sent over the internet through your Internet Service Provider (ISP), which directs them through routers and switches. These network devices ensure packets take the most efficient path.
They reach the server where I'm hosted. The server processes your query, generates a response, divides it into packets, sends them back through the same process, and your laptop reassembles them to display my answer.
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define the power of a machine
Answers
Answer:
Power of a machine is defined as its rate of doing work. It is the rate of transfer of energy. The power of a machine is said to be one watt if it can work at the rate of one joule in one second.
Explanation:
Because plastic is made partially from oil, an organic material, it will eventually completely degrade naturally.
Group of answer choices
True
False
Answers
False, Plastic is not an organic material in the sense that it will naturally degrade over time.
Plastic is not an organic material in the sense that it will naturally degrade over time. While it is true that plastic is derived from oil, which is an organic material, the process of turning oil into plastic involves complex chemical reactions and polymerization.
This results in the formation of long chains of molecules that are highly resistant to natural degradation processes. In fact, the majority of plastic produced today is designed to be durable and long-lasting, which is why it persists in the environment for hundreds of years.
When plastic waste is disposed of in landfills or released into the environment, it can take centuries to break down. Exposure to sunlight, moisture, and microbial activity can cause some forms of plastic to fragment into smaller pieces, but they do not completely biodegrade like organic materials such as food waste or paper.
Instead, these smaller plastic particles, known as microplastics, can persist in the environment for even longer periods and pose significant threats to ecosystems and wildlife.
It is worth noting that there are ongoing research and development efforts to create biodegradable and compostable plastics. These types of plastics are designed to break down more readily under specific conditions, such as in industrial composting facilities.
However, they are not yet widely adopted or capable of degrading in natural environments. Therefore, the statement that plastic will eventually completely degrade naturally is false.
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Can I get an answer to this question please
Answers
Answer:
(i) 12 V in series with 18 Ω.
(ii) 0.4 A; 1.92 W
(iii) 1,152 J
(iv) 18Ω — maximum power transfer theorem
Explanation:
(i)As seen by the load, the equivalent source impedance is ...
10 Ω + (24 Ω || 12 Ω) = (10 +(24·12)/(24+12)) Ω = 18 Ω
The open-circuit voltage seen by the load is ...
(36 V)(12/(24 +12)) = 12 V
The Thevenin's equivalent source seen by the load is 12 V in series with 18 Ω.
__
(ii)The load current is ...
(12 V)/(18 Ω +12 Ω) = 12/30 A = 0.4 A . . . . load current
The load power is ...
P = I^2·R = (0.4 A)^2·(12 Ω) = 1.92 W . . . . load power
__
(iii)10 minutes is 600 seconds. At the rate of 1.92 J/s, the electrical energy delivered is ...
(600 s)(1.92 J/s) = 1,152 J
__
(iv)The load resistance that will draw maximum power is equal to the source resistance: 18 Ω. This is the conclusion of the Maximum Power Transfer theorem.
The power transferred to 18 Ω is ...
((12 V)/(18 Ω +18 Ω))^2·(18 Ω) = 144/72 W = 2 W
If a 180 RPM synchronous motor and gear train rated for 60Hz is run on 50Hz, what speed will the output shaft have?
Answers
Wire gages in an automobile generally range from gage 0 to gage ____.
A.
24
B.
18
C.
20
D.
30
Answers
Answer:
18 gauge
Explanation:
Standard automotive primary wire is 18 gauge. (internet search) Hope this helps
The compound beam shown in figure is pin connected at B. Determine the components of reaction at its supports. Neglect its weight and thickness.
Answers
The values based on the information given will be Ra = 1000N and Rc= 90N
What is weight?Weight refers to the measure of the force of gravity on an object, and is typically measured in units of mass, such as kilograms or pounds. Weight is influenced by the mass of the object and the strength of the gravitational field it is in.
Thickness, on the other hand, refers to the measure of how thick an object is, or the distance between opposite surfaces of an object. Thickness is typically measured in units of length, such as millimeters or inches.
While weight and thickness are not directly related to each other, they can both play important roles in determining the properties and uses of an object. For example, a thin piece of metal may be lightweight, but may not be strong enough to support heavy loads. Conversely, a thicker piece of metal may be heavier, but may be able to support heavier loads due to its increased strength.
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Technician a says that only manufacturers offer vehicle warranties. technician b says that aftermarket warranties are available for consumers to purchase. which technician is correct?
Answers
Based on the information provided, the technician who is correct is Technician B only.
What is an extended warranty contract?An extended warranty contract is sometimes referred to as an aftermarket warranty and it can be defined as an elongation of the coverage period on a service agreement that was entered between a manufacturer and the customer (consumers).
Generally, some of the characteristics and features of an extended warranty contract include the following:
An extended warranty contract provides protection beyond the manufacturer's original warranty.An extended warranty contract constitutes a separate performance obligation.An extended warranty contract is available for consumers to purchase.Based on the information provided, we can reasonably infer and logically deduce that the technician who is correct is Technician B only.
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Identify the Levels of Biological Organization below. Copy and answer each statement. Write
your answer on the answer sheet provided.
1. The basic unit of a chemical element
2. A group of atoms bonded together representing the smallest
unit that can take part in a chemical reaction.
3. Is a basic unit of life.
4. Group of similar cells that perform a function.
5. Group of tissues that work together to perform to perform
a specific function
6. A group of organs that work together to perform a
specific function.
7. An entire living thing that carries of the basic life functions.
Answers
Answer:
no idea
Explanation:
gvghvvvghhbbgggggggig gjgjg gjgbg gig gg bg GB g GB GB GB GB g GB GB GB of me and I am a diary and crewmate hide if you see a diary or not the other person is a non-electrolyte or no one vent the imposter win a diary or you can get any more confidently than you are in a spectacular place is the most important points to be mo to get skins and crewmate for a few days to be sure it will be the same for me it will take a while for a couple to get the right angle bu the other one is come to the end and then you have birds to get a lot more than a diary of a candle or no other one in a few weeks or no time to do it for me and my friend who has no idea how much time I have been to a new episodes and the best of all the time I am going sleep
during evacuation of a system containing large amounts of moisture
Answers
During the evacuation of a system containing large amounts of moisture, there are several considerations to keep in mind:
1. Moisture Removal: The primary objective is to remove moisture from the system. Moisture can cause corrosion, ice formation, and other issues that can affect the performance and reliability of the system.
2. Evacuation Time: Evacuating a system with significant moisture may take longer than normal. Moisture tends to absorb and retain heat, which can prolong the evacuation process. Be patient and allow sufficient time for the moisture to be effectively removed from the system.
3. Proper Equipment: Ensure that the equipment used for evacuation, such as vacuum pumps and hoses, is suitable for handling moisture-laden air. The equipment should be capable of handling the moisture without causing damage or reduced efficiency.
4. Monitoring and Purging: Monitor the evacuation process to assess the progress and effectiveness of moisture removal. Periodically check the moisture content using appropriate moisture detection methods.
5. System Integrity: Verify that the system components, such as seals, valves, and connections, are in good condition and properly sealed. Leaks can introduce additional moisture into the system, hindering the evacuation process. Address any leaks before proceeding with the evacuation.
6. Safety Precautions: Take appropriate safety precautions, such as wearing protective gear and following manufacturer guidelines, during the evacuation process. Some substances, such as refrigerants, may pose health hazards, so ensure proper ventilation and handling procedures are followed.
Remember to consult relevant industry standards, guidelines, and equipment manufacturer recommendations for specific procedures and best practices when evacuating a system containing large amounts of moisture.
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Problem 2
The mayor of Cambridge, Colorado, wanting to be environmentally progressive, decides to implement a recycling plan. All residents of the city will receive a special three-part bin to separate their glass, plastic, and aluminum, and the city will be responsible for picking up the materials. A young city and regional planning graduate, Michael Duffy, has been hired to manage the recycling program. After carefully studying the city’s population density, Duffy decides that the following numbers of recycling collectors will be needed:
Day M T W TH F S Su
Requirements 12 7 9 9 5 3 6
The requirements are based on the populations of the various housing developments and subdivisions in the city and surrounding communities. To motivate residents of some areas to have their pickups scheduled on weekends, a special tax break will be given.
a. Find the minimum number of recycling collectors required if each employee works 5 days a week and has two consecutive days off. Give preference to the S–Su pair. when that pair is involved in a tie.
b. Specify the work schedule for each employee. How much slack does your schedule generate for each day?
Answers
1. A team of students have designed a battery-powered cooler, which promises to keep beverages at a high-drinkability temperature of 36°F while outside is 100°F. If the insulation leaks heat at a rate of 100 Btu/h, calculate the minimum electrical power required, in Watts. If we use USB-charged 5 V batteries, what is the minimum battery size needed, in Amp-hours, if the cooler is supposed to work for 4 hours?
Answers
Answer:
Minimum electrical power required = 3.784 Watts
Minimum battery size needed = 3.03 Amp-hr
Explanation:
Temperature of the beverages, \(T_L = 36^0 F = 275.372 K\)
Outside temperature, \(T_H = 100^0F = 310.928 K\)
rate of insulation, \(Q = 100 Btu/h\)
To get the minimum electrical power required, use the relation below:
\(\frac{T_L}{T_H - T_L} = \frac{Q}{W} \\W = \frac{Q(T_H - T_L)}{T_L}\\W = \frac{100(310.928 - 275.372)}{275.372}\\W = 12.91 Btu/h\\1 Btu/h = 0.293071 W\\W = 12.91 * 0.293071\\W_{min} = 3.784 Watt\)
V = 5 V
Power = IV
\(W_{min} = I_{min} V\\3.784 = 5I_{min}\\I_{min} = \frac{3.784}{5} \\I_{min} = 0.7568 A\)
If the cooler is supposed to work for 4 hours, t = 4 hours
\(I_{min} = 0.7568 * 4\\I_{min} = 3.03 Amp-hr\)
Minimum battery size needed = 3.03 Amp-hr
integer awardPoints
integer userTickets
// Program will be tested with 6, 7, 8, and 3.
userTickets = Get next input
// Your solution goes here
Put "awardPoints: " to output
Put awardPoints to output
Answers
si marialyn yung crush ko kaso di nya ako crush
may crush siyang iba
La probabilidad de que un nuevo producto tenga éxito es de 0.85. Si se eligen 10 personas al azar y se les pregunta si comprarían el nuevo producto, ¿cuál es la probabilidad de que por lo menos 8 adquieran el nuevo producto?
Answers
Answer:
La probabilidad pedida es \(0.820196\)
Explanation:
Sabemos que la probabilidad de que un nuevo producto tenga éxito es de 0.85. Sabemos también que se eligen 10 personas al azar y se les pregunta si comprarían el nuevo producto. Para responder a la pregunta, primero definiremos la siguiente variable aleatoria :
\(X:\) '' Número de personas que adquirirán el nuevo producto de 10 personas a las que se les preguntó ''
Ahora bien, si suponemos que la probabilidad de que el nuevo producto tenga éxito se mantiene constante \((p=0.85)\) y además suponemos que hay independencia entre cada una de las personas al azar a las que se les preguntó ⇒ Podemos modelar a \(X\) como una variable aleatoria Binomial. Esto se escribe :
\(X\) ~ \(Bi(n,p)\) en donde \(''n''\) es el número de personas entrevistadas y \(''p''\) es la probabilidad de éxito (una persona adquiriendo el producto) en cada caso.
Utilizando los datos ⇒ \(X\) ~ \(Bi(10,0.85)\)
La función de probabilidad de la variable aleatoria binomial es :
\(p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}\) con \(x=0,1,2,...,n\)
Si reemplazamos los datos de la pregunta en la función de probabilidad obtenemos :
\(P(X=x)=\left(\begin{array}{c}10&x\end{array}\right)(0.85)^{x}(0.15)^{10-x}\) con \(x=0,1,2,...,10\)
Nos piden la probabilidad de que por lo menos 8 personas adquieran el nuevo producto, esto es :
\(P(X\geq 8)=P(X=8)+P(X=9)+P(X=10)\)
Calculando \(P(X=8), P(X=9)\) y \(P(X=10)\) por separado y sumando, obtenemos que \(P(X\geq 8)=0.820196\)
Por definición de variable aleatoria binomial, la probabilidad de que por lo menos 8 adquieran el nuevo producto es 0.8202.
En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.
En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.
Por otro lado, una variable aleatoria es una función que asocia un número real, perfectamente definido, a cada punto muestral.
Una variable aleatoria es discreta si los números a los que da lugar son números enteros.
Finalmente, una distribución binomial es una distribución de probabilidad discreta que describe el número de éxitos al realizar n experimentos independientes entre sí, acerca de una variable aleatoria.
La expresión para calcular la distribución binomial es:
P(X=x)=( \(n\\ x\) ) pˣ qⁿ⁻ˣ
Donde:
n = Número de ensayos/experimentos x = Número de éxitos p = Probabilidad de éxito q = Probabilidad de fracaso (1-p)Recordar que:
( \(n\\ x\) )= \(\frac{n!}{x!(n-x)!}\)
donde el signo de exclamación representa el símbolo de factorial, es decir el producto de todos los números enteros positivos desde 1 hasta n.
En este caso, sabes que la probabilidad de que un nuevo producto tenga éxito es de 0.85 y se eligen 10 personas al azar. Entonces se define la siguiente variable aleatoria:
X= '' Número de personas que adquirirán el nuevo producto de 10 personas a las que se les preguntó ''
Suponiendo que hay independencia entre cada una de las personas al azar a las que se les preguntó, es posible usar una variable aleatoria Binomial. Siendo n el número de personas entrevistadas (en este caso, 10 personas) y p la probabilidad de éxito (una persona adquiriendo el producto, en este caso 0.85) en cada caso, la expresión a utilizar queda expresada como:
P(X=x)=( \(10\\ x\) ) 0.85ˣ (1-0.85)¹⁰⁻ˣ
P(X=x)= \(\frac{10!}{x!(10-x)!}\) 0.85ˣ (0.15)¹⁰⁻ˣ
Se desea calcular la probabilidad de que por lo menos 8 adquieran el nuevo producto. Siendo 10 las personas elegidas al azar, puede ser que sean 8,9 o 10 las personas que adquieran un nuevo producto. Entonces la probabilidad deseada es calculada como:
\(P(X\geq 8)= P(X=8) + P(X=9) + (P=10)\)
Entonces:
\(P(X\geq 8)=\) \(\frac{10!}{8!(10-8)!}\) 0.85⁸ (0.15)¹⁰⁻⁸ + \(\frac{10!}{9!(10-9)!}\) 0.85⁹ (0.15)¹⁰⁻⁹ + \(\frac{10!}{10!(10-10)!}\) 0.85¹⁰ (0.15)¹⁰⁻¹⁰
Resolviendo:
\(P(X\geq 8)=\) \(\frac{10!}{8!2!}\) 0.85⁸ (0.15)² + \(\frac{10!}{9!1!}\) 0.85⁹ (0.15)¹ + \(\frac{10!}{10!0!}\) 0.85¹⁰ (0.15)⁰
\(P(X\geq 8)=\) 45×0.85⁸×(0.15)² + 10×0.85⁹×(0.15)¹ + 1×0.85¹⁰×(0.15)⁰
\(P(X\geq 8)=\) 0.2759 + 0.3474 + 0.1969
\(P(X\geq 8)=\) 0.8202
Finalmente, la probabilidad de que por lo menos 8 adquieran el nuevo producto es 0.8202.
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Section 420.6(a) of the National Electrical Code (NEC) states that the tables should not be used for calculating the maximum number of conductors that can be installed in various raceway and cable types.
It is a standard of practice for the safe installation of electrical wiring and equipment in the United States. The NEC is updated every three years to reflect the most up-to-date electrical safety practices.In 2020, the latest NEC was released. The NEC contains regulations for everything from electrical wire size to electrical panel installation. Its goal is to ensure the safe installation of electrical systems in both residential and commercial settings.
Section 420.6(a) is part of Article 420 of the NEC, which covers installation standards for electrical equipment used in a hazardous (classified) location. Hazardous locations are areas where combustible gases, vapors, dusts, or fibers exist in concentrations that could cause a fire or explosion if a source of ignition were present. Section 420.6(a) of the NEC states that the tables used to determine the maximum number of conductors that can be installed in various raceway and cable types should not be used for calculating.
The tables are not a substitute for proper engineering calculations when designing an electrical system. This means that the tables should be used as a general guide, but not as the only means of determining the maximum number of conductors that can be installed.
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difference between velocity profile and velocity distribution
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Answer:
Profile is a graphical representation of velocity distribution
find the minimum distance l from the load where the shunt element is to be connected such that the input admittance at B - B' has a conductance part of 0.02 S
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The act of allowing circuit components to allow alternating current or direct current to pass. Y represents it. CONDUCTANCE: "An element's conductance is its capacity to carry electric current."
How is impedance calculated using admittance?Admission is the inverse of impedance Z. The unit of admission is either siemens (S) or mho (), and the admittance is denoted by the letter "Y". How is the admittance determined? Impedance is equal to Z= R + jX times admission.
What do admission conductance and susceptibility mean?The two independent Scalar phenomena of conductance and susceptance make up the vector quantity known as admission. G stands for conductance, which measures how easily charge carriers may travel through a component or substance.
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The polarities of the current and voltage are indicated for each circuit element, 1-4, below. Answer the following questions with respect to the indicated polarities. 2 4 4 V =-20 V 2-14 A I3-18 A Use Kirchhoff's Voltage Law to determine the voltage V3 in the circuit above. (within three significant digits) Use Kirchhoff's Voltage Law to determine the voltage V2 in the circuit above. (within three significant digits) Use Kirchhoff's Current Law to determine the current I1 in the circuit above.
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Answer:
The polarities of the current and voltage in circuits 1-4 are provided in the question. You're required to apply Kirchhoff's Voltage Law to calculate the voltage V3 in the circuit with an accuracy of three significant digits. This law states that the sum of voltages around a closed loop is equal to zero. Therefore, you need to calculate the voltage drops across each circuit element, taking into account their polarities and sum them up to obtain V3. With proper attention to detail, you should be able to calculate V3 with precision and accuracy, despite the complexity of the circuit.
In addition, you're also tasked with using Kirchhoff's Voltage Law to calculate the voltage V2 in the same circuit with an accuracy of three significant digits. Once again, the proper accounting of polarities is crucial to ensure a correct calculation of the voltage drops across each circuit element. By applying the principle of conservation of energy, you can accurately calculate the voltage V2 by summing up the voltage drops around the closed loop, taking into account the polarities of each element. This can be a challenging task, but with attention to detail and the use of appropriate equations, you can derive the correct value for V2.
Finally, you're required to use Kirchhoff's Current Law to determine the current I1 in the circuit above. This law states that the sum of the currents entering and leaving a node is zero. By applying this law to the circuit, you can calculate the current I1 with precision and accuracy, taking into account the polarities of each element. This can be a daunting task, but with a clear understanding of the principles involved and attention to detail, you can successfully solve the problem and arrive at the correct value for I1.
The question can be solved by applying Kirchhoff's Voltage Law (for Voltage V3 and V2) and Kirchhoff's Current Law (for Current I1) respectively. However, without numerical values and information for all elements in the circuit, a specific numerical answer can't be determined in this case.
Explanation:To solve this problem, we can apply Kirchhoff's laws. Kirchhoff's Voltage Law (KVL) states that the sum of the electromotive forces in any closed loop or mesh in a network is equal to the sum of the potential drops in that loop. Kirchhoff's Current Law (KCL), on the other hand, states that the sum of currents entering a junction must equal the sum of currents leaving it.
For Voltage V3 and Voltage V2, we can set up equations based on KVL. Considering the polarities given, we can solve these equations for V3 and V2. Unfortunately, without numerical information for all circuit elements and the specifics of their layout, we are unable to provide a numerical answer.
In similar vein for current, we can setup an equation using KCL to solve for Current I1. Again, without numerical specifics for all the currents in the circuit, a numerical answer cannot be provided.
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