if the rank of the augmented matrix of a system of n linear equations in n unknowns equals the rank of the matrix of coefficients, then the system has a unique solution.T/F
True. If the rank of the augmented matrix of a system of n linear equations in n unknowns equals the rank of the matrix of coefficients, then the system has a unique solution. This is because the rank indicates the number of linearly independent rows, which determines the existence and uniqueness of the solution.
When solving a system of linear equations in n unknowns, the coefficients of the variables are organized into a matrix called the matrix of coefficients. The right-hand side of each equation is organized into a column vector, and the resulting augmented matrix is formed by appending this vector to the matrix of coefficients.
The rank of a matrix is the maximum number of linearly independent rows in the matrix. The rank of the augmented matrix is the same as the rank of the matrix of coefficients if and only if the system of equations has a unique solution.
This is because the rank of the matrix of coefficients indicates the number of equations that are independent of each other, while the rank of the augmented matrix indicates the number of equations that are independent of each other and also satisfy the right-hand side of the equation. If the ranks of both matrices are equal, then there is a one-to-one correspondence between equations and variables, and the system has a unique solution.
In other words, if the ranks are equal, there are exactly n linearly independent equations for n unknowns, and so there is a unique solution that satisfies all of the equations. If the ranks are not equal, then there are either no solutions or an infinite number of solutions.
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A recessed luminaire bears no marking indicating that it is ""Identified for Through- Wiring."" Is it permitted to run branch-circuit conductors other than the conductors that supply the luminaire through the integral junction box on the luminaire?
Answer:
No it is not permitted
Explanation:
It is not permitted because as per NEC 410.21 policy no other conductor is allowed to be passed through integral junction box luminaries unless such conductor supply recessed luminaries.
The marking will show that the Luminaries is of the right construction or right installation to ensure that the the conductors ( in the outer boxes ) will not be exposed to temperatures greater than the conductor rating, hence the lack of marking makes it not to be permitted.
In the figure show, what's the distance from point H to point C?
A. 2'
B. 18'6"
C. 18'
D. 2'6"
Answer:
B.
Explanation:
I think not sure hehe
One signal vin=0.2sin(wt) is applied to a bridge rectifier where Silicon diodes are used. The peak value of output voltage is expected to be
a)can't be estimated due to insufficient data
b)0.0
c)0.2
d)0.4
Answer:
This problem has been solved!
See the answer
7. The voltage that must be less than the breakdown voltage of the diode in order to prevent damage to the diode is the ________.
peak inverse voltage
maximum diode voltage
reverse surge voltage
maximum peak voltage
8. Assume the input signal to a rectifier circuit has a peak value of Vm = 12 V and is at a frequency of 60 Hz. Assume the output load resistance is R = 2kΩ and the ripple voltage is to be limited to Vr= 0.4 V. Determine the capacitance required to yield this specification for a (a) full-wave rectifier and (b) half-wave rectifier. Show all work.
9.A full-wave rectifier is to be designed to produce a peak output voltage of 12 V, deliver 120 mA to the load, and produce an output with a ripple of not more than 5 percent. An input line voltage of 120 V (rms), 60 Hz is available. Consider a bridge type rectifier. Specify the transformer ratio and the size of the required filter capacitor. Show all work.
Explanation:
A thresher is run with a V-belt. The 2 pulleys are 3 inches and 4 inches in diameter. The distance between the pulleys is adjustable. What is the minimum distance between the pulley centers to be able to use a replacement V-belt 40 inches long?
Answer:
16.4925 inches
Explanation:
True or false Self Driving Cars are examples of emerging technology
Tests by the byron jackson co. Of a 14. 62-in-diameter centrifugal water pump at 2134 r/min yield the following data: q, ft3/s 0 2 4 6 8 10 h, ft 340 340 340 330 300 220 bhp 135 160 205 255 330 330 what is the bep? what is the specific speed? estimate the maximum discharge possible
Z≤ -4.852 ft, Maximum efficiency is η≅ 0.88 ≅ 88% is the maximum discharge possible
Solution
Given Data:-
D = 14.62in, N = 2134 rc/min, T=20°C. At T= 20°C ɣ=ρg= 62.35 lb/ft³, vapor pressure. Pv = 49.2 lb/ft².
The efficienies at each flow rate is computal by using formula
η = ρgθH / (550) (bhp)
→ As we can See the maximum efficiency point is at θ = 6ft³/s (close to 6ft³/s)
Maximum efficiency is η≅ 0.88 ≅ 88%
b) Given NPSHR = 16 ft,hg=22ft. Zactual. = 9ft (below the sea surface)
To avoid cavitation NPSH < Pa - Pv/ρg - Z - hf
Z < Pa - Pv/ρg - hf
Z < 2116 - 49.2/62.35 - 16 - 22 [1 atm = 2116 lb/ft2]
Z≤ -4.852 ft
-> Keeping the pump 9 ft below the surface gives 4.148 ft of marign against cavitation.
Hence it is Sufficient to avoid cavitation.
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Two stepped bar is supported at both ends.At the join point of two segments,the force F is applied(downwards).Calculate reactive forces R1 and R3 at the supports.What is value of absolute maximal stress?
Choose one answer nearest your result.
given= d1=10mm d2=20mm L1=20mm L2=10mm E=200GPa F=20kN
Answer:
F=200kN
Explanation:
Evaluate the following using half angle identities (a) cos(30∘), (b) tan(15∘)..
Answer:
a) √3/2 is the answer
b) √3 is the answer
. Convert 350 lb* ft In Joules?
Answer:
474.536 Joules
Explanation:
Use a converter machine.
1lb = 1.355818 j
350 = 1.355818 j *350
= 474.536
Incremental cost of two generators ic1 = 0. 2 p1 60, ic2 = 0. 3 p2 40 and the ratings of the generator are 150 and 250 mw. Find the load sharing of each generator for a load of 200 mw?
Generators are mechanical devices that use electromagnetic induction to produce electricity. For a load of 200 MW, P₁ is 80 MW and P₂ is 120 MW.
What is load sharing?Load sharing is the sharing and operational functioning of the multiple generators together.
Given,
Total load = 200 MW (P₁ +P₂)
For an economic load dispatch, the minimal conditions should be,
I(C₁) = I(C₂)
0.2 P₁ + 60 = 0.3 P₂ + 40
0.2 P₁ - 0.3 P₂ = -20
From the total load, the individual values are calculated as:
0.2 (200 -P₂) -0.3 P₂ = -20
40 - 0.2 P₂ -0.3 P₂ = -20
60 = 0.5 P₂
P₂ = 120 MW
P₁ + 120 = 200
P₁ = 80 MW
Therefore, P₁ = 80 MW and P₂ = 120 MW.
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An air-standard Diesel cycle engine operates as follows: The temperatures at the beginning and end of the compression stroke are 30 °C and 700 °C, respectively. The net work per cycle is 590.1 kJ/kg, and the heat transfer input per cycle is 925 kJ/kg. Determine the a) compression ratio, b) maximum temperature of the cycle, and c) the cutoff ratio, v3/v2.
This question is incomplete, the complete question is;
An air-standard Diesel cycle engine operates as follows: The temperatures at the beginning and end of the compression stroke are 30 °C and 700 °C, respectively. The net work per cycle is 590.1 kJ/kg, and the heat transfer input per cycle is 925 kJ/kg. Determine the a) compression ratio, b) maximum temperature of the cycle, and c) the cutoff ratio, v3/v2.
Use the cold air standard assumptions.
Answer:
a) The compression ratio is 18.48
b) The maximum temperature of the cycle is 1893.4 K
c) The cutoff ratio, v₃/v₂ is 1.946
Explanation:
Given the data in the question;
Temperature at the start of a compression T₁ = 30°C = (30 + 273) = 303 K
Temperature at the end of a compression T₂ = 700°C = (700 + 273) = 973 K
Net work per cycle \(W_{net\) = 590.1 kJ/kg
Heat transfer input per cycle Qs = 925 kJ/kg
a) compression ratio;
As illustrated in the diagram below, 1 - 2 is adiabatic compression;
so,
Tγ\(^{Y-1\) = constant { For Air, γ = 1.4 }
hence;
⇒ V₁ / V₂ = \((\) T₂ / T₁ \()^{\frac{1}{Y-1}\)
so we substitute
⇒ V₁ / V₂ = \((\) 973 K / 303 K \()^{\frac{1}{1.4-1}\)
= \((\) 3.21122 \()^{\frac{1}{0.4}\)
= 18.4788 ≈ 18.48
Therefore, The compression ratio is 18.48
b) maximum temperature of the cycle
We know that for Air, Cp = 1.005 kJ/kgK
Now,
Heat transfer input per cycle Qs = Cp( T₃ - T₂ )
we substitute
925 = 1.005( T₃ - 700 )
( T₃ - 700 ) = 925 / 1.005
( T₃ - 700 ) = 920.398
T₃ = 920.398 + 700
T₃ = 1620.398 °C
T₃ = ( 1620.398 + 273 ) K
T₃ = 1893.396 K ≈ 1893.4 K
Therefore, The maximum temperature of the cycle is 1893.4 K
c) the cutoff ratio, v₃/v₂;
Since pressure is constant, V ∝ T
So,
cutoff ratio S = v₃ / v₂ = T₃ / T₂
we substitute
cutoff ratio S = 1893.396 K / 973 K
cutoff ratio S = 1.9459 ≈ 1.946
Therefore, the cutoff ratio, v₃/v₂ is 1.946
M3.10. Find Current If I_1 = 40 mA, R_4 = 1 kΩ, R_5 = 7 kΩ, R_6 = 4 kΩ, R_7 = 7 kΩ, R_8 = 1 kΩ. The values of resistors R_2 and R_3 are unknown. Using a voltmeter, it is found that V_5 = 28 V across R_5. Find the current, I_6, flowing through R_6.
The objective is to find the current flowing through resistor R_6 (I_6), given the values of resistors R_4, R_5, R_6, R_7, and R_8, as well as the current flowing through resistor R_1 (I_1) and the voltage across resistor R_5 (V_5).
To find the current flowing through resistor R_6, we need to use Kirchhoff's Current Law (KCL) to solve for the unknown currents in the circuit. First, we can use Ohm's Law to find the voltage across resistor R_7, which is equal to V_7 = I_1 * R_7. Next, we can use KCL to find the total current flowing into node A, which is equal to I_A = I_1 + I_3, where I_3 is the current flowing through resistors R_2 and R_3. Since the values of resistors R_2 and R_3 are unknown, we can use the voltage across resistor R_5 and the known resistances to find the current flowing through resistor R_5, which is equal to I_5 = V_5 / R_5. Using KCL again, we can find the current flowing through resistor R_4, which is equal to I_4 = I_A - I_5. Finally, we can use Ohm's Law to find the voltage across resistor R_6, which is equal to V_6 = I_6 * R_6. Using KCL one last time, we can find the current flowing through resistor R_6, which is equal to I_6 = (V_7 - V_6) / R_8.
To summarize, the current flowing through resistor R_6 can be found by using Kirchhoff's Current Law and Ohm's Law to solve for the unknown currents and voltages in the circuit. The final equation for the current flowing through resistor R_6 is I_6 = (V_7 - V_6) / R_8.
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A ? is a traditional tool used to align and mark vertical points from top to bottom.
Select one:
a. compass
b. plumb bob
c. protractor
d. ruler
Answer: B, plumb bob
Explanation:
A plumb bob's main job was to establish what is true (ie vertical and perpendicular to a surface,) as well as the secondary task of marking these points.
Compasses are mainly used to draw circles, protractors are used to measure angles, and rulers are used to measuring length.
A noisy transmission channel has a per-digit error probability p = 0.01.
(a) Calculate the probability of more than one error in 10 received digits?
Answer:
The appropriate answer is "0.0043".
Explanation:
The given values is:
Error probability,
p = 0.01
Received digits,
n = 10
and,
\(x\sim Binomial\)
As we know,
⇒ \(P(x)=\binom{n}{x}p^xq^{n-x}\)
Now,
⇒ \(P(x >1) =1- \left \{ P(x=0)+P(x=1) \right \}\)
⇒ \(=1-\left \{\binom{10}{0}(0.01)^0(0.99)^{10-0}+\binom{10}{0}(0.01)^1(0.99)^{10-1} \right \}\)
⇒ \(=1-0.9957\)
⇒ \(=0.0043\)
The diameter of a spherical mothball is observed to halve in 200 d. Approx, how long will it take for its remaining value to become half of its volume of 200 d
A. 67 d.
B. 169 d.
C. 250 d.
D. 260 d.
Answer:
it is B trust me I know thank yiu
name one simple machine in our home and explain how it can be made to be more efficient.
Levers are a type of basic machine that are useful for altering the span of the shaft or the height of the fulcrum.
What is an example of a machine?A machine seems to be a physical system that use power to exert forces, regulate movement, and carry out an activity. The phrase is frequently used to refer to both naturally occurring biological macromolecules and manmade devices that use engines or motors.
How come it's called a machine?The Greek word "makhana," which means "device," is where the term "machine" originates. In 1540, the name was first used to designate any form of construction in English. About 1670, its contemporary meaning as a term for a machine with several moving components started to take shape.
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a load of lumber weighing w 25 kn
When lumber is sent upwards, inertial force will act downwards.
So,
\(F_{i} = m a\)
where, m = mass of lumber
a = acceleration
\(F_{i} = (\frac{w}{g} ) a\)
(Because, W = mg)
What is inertial force?
The law of inertia, also known as Newton's First Law, is the foundation of physics. It states that if an object is at rest or moving at a constant speed in a straight line, it will continue to be at rest or move at the same speed unless acted upon by a force.
This object will continue to move until less force or friction causes it to stop. The first of the three laws of motion is the Law of Inertia. Galileo Galilei experimented with this law, which René Descartes later deduced. Inertia Definition.
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what could happen if the engine was uncowled during the starting and operating procedures
If an engine fails during rollout or just before takeoff, immediately shut both throttles and land the aircraft safely. Before reaching a safe single engine speed right away after takeoff, drop your nose to increase velocity.
What is the engine starting procedure?Closing the throttle, turning off the fuel pump, setting the mixture control to idle cutoff, and simply cranking the engine is the most reliable hot start method I've found.
What is the procedure for engine failure?If an engine fails during rollout or just before takeoff, immediately shut both throttles and land the aircraft safely. Before reaching a safe single engine speed right away after takeoff, drop your nose to increase velocity. If you are unable to climb, close both throttles and land straight ahead.
What happens if engine fails during take off?The typical practice for the majority of aircraft would be to abandon takeoff if an engine failed during takeoff. In small aircraft, the pilot should turn the throttles down to idle, activate the speed brakes (if provided), and apply the brakes as needed if the engine fails before VR (Rotation Speed).
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Task Instructions
Add OR criteria to the WorkshopAttendanceBy Type query to select only those records where State field value is GA OR the Workshop Type field value is Bathroom. Run the
query to display it in Datasheet view.
To execute the above function, we can do this:
Click the first Criteria cell for the ManagerID field
Type M-10
Click the second Criteria cell for the State field
Type TX
Click the Run button
This is how to amend the criteria.
What is a datasheet view?A datasheet is a graphical representation of the information contained in a table or the results of a query.
As illustrated below, it displays the fields for each record from a table, form, or query result in a tabular (row and column) format. Tables and queries open in Datasheet view by default.
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Relation SPP(supID, partID, projID, qty) is a relation whose tuples mean that supplier supID supplies part partID to project projID in quantity qty. Suppose that each of the four attributes are integers. Write a CREATE TABLE statement for relation SPP. Do not forget to declare that supID, partID, and projID together form the key. and that these are each foreign keys referencing the relations Suppliers, Parts, and Projects, respectively. Then, identify from the list below the element that would appear as part of the definition. a) qty INTEGER
b) FOREIGN KEY projID
c) INTEGER projID
d) FOREIGN KEY Projects REFERENCES projID
Your answer: Create the SPP table with a composite primary key and foreign keys referencing Suppliers, Parts, and Projects. The correct element from the list is b) FOREIGN KEY projID.
Explanation:
1. Start by creating the table with the name SPP.
2. Define the four attributes with their respective data types: supID INTEGER, partID INTEGER, projID INTEGER, and qty INTEGER.
3. Declare a composite primary key using supID, partID, and projID.
4. Create foreign key constraints for supID, partID, and projID referencing the Suppliers, Parts, and Projects tables, respectively.
Here's the CREATE TABLE statement:
```
CREATE TABLE SPP (
supID INTEGER,
partID INTEGER,
projID INTEGER,
qty INTEGER,
PRIMARY KEY (supID, partID, projID),
FOREIGN KEY (supID) REFERENCES Suppliers(supID),
FOREIGN KEY (partID) REFERENCES Parts(partID),
FOREIGN KEY (projID) REFERENCES Projects(projID)
);
```
From the list provided, the element that appears as part of the definition is b) FOREIGN KEY projID.
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QUESTION 6
Which of the following is NOT a resume format?
01. Chronological
O2. Portfolio
3. Functional
04. Combination
A major tennis manufacturer is undertaking a test program for shoes, tennis balls, and tennis strings. Develop a test plan for the situations described below. In each case provide details for how the test should be conducted, and describe expected difficulties in interpreting the results. In each case the tests are to be conducted during college tennis matches. Four teams of six players each are to test the products under match (as opposed to practice) conditions. A tennis team consists of six players, and a match consists of six singles matches and three doubles matches.
a. Tennis shoes: Two different sole designs and materials are to be wear tested. The life of the soles are known to be strongly affected by court surface and playing style.
b. Tennis strings: A new tennis string material is to be tested for durability. String failure occurs due to breakage or due to loss of tension. String life is a function of the racquet, the player's style, and string tension.
c. Tennis balls: Two tennis balls are to be play tested for durability. The condition of a tennis ball can be described by the coefficient of restitution, and the total weight (since the cover material actually is lost during play). A player's style and the court surface are the primary determining factors on tennis ball wear.
Answer:
4 balls
Explanation:
First, we find out how many tennis balls are there altogether.
There are 8 cans and each can has 3 tennis balls.
Total numberThese balls are shared with 6 players. So we divide the total quantity by 6 to find out how many tennis balls each player gets.
Each player = 24 ÷ 6 = 4
of balls = 8 x 3 = 24
When nitrogen consumption and nitrogen excretion are approximately the same, a person is in:_________
Answer:
When nitrogen consumption and nitrogen excretion are approximately the same, a person is in nitrogen balance.
Explanation:
Which of the following four elements are evaluated for the project purpose?
A: list of relevant data, description of important issues, importance of work, description of problem
B: description of problem, description of solution, list of relevant data, description of important issues
C: importance of work, description of problem, description of solution, list of relevant data
D: description of solution, list of relevant data, description of important issues, importance of work
Answer:
A
Explanation:
Answer: https://www.careerbuilder.com/advice/what-are-problemsolving-skills-and-why-are-they-important
Explanation:
please if this helps give me brainlest it is about career builder
What is your favorite Electronic company? (E.g. Windows, Apple, Samsung...)
Answer:
apple
Explanation:
is the answer toWhat is your favorite Electronic company? (E.g. Windows, Apple, Samsung...)
If both the sender and receiver calculate the same _________ value for the same chunk of data, the receiver can conclude that the data was not corrupted during transmission.
If both the sender and receiver calculate the same hash value for the same chunk of data, the receiver can conclude that the data was not corrupted during transmission.
Hash functions are algorithms that generate a fixed-size string of characters or a hash value from input data of arbitrary size. Even a small change in the input data will result in a significantly different hash value. By comparing the hash value calculated by the sender with the hash value calculated by the receiver, it is possible to detect if any data corruption has occurred during transmission. If the hash values match, it indicates that the data has not been altered during transmission and is likely to be intact. Hash functions are commonly used in data integrity checking, data validation, and error detection in various communication protocols, file transfer protocols, and data storage systems.
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What relationship is there between the hydraulic system and power, force, energy, resources, and types of energy?
Answer:
Well to me there all energy resources.
Explanation:
Answer:
Hydropower is fueled by water, so it's a clean fuel source, meaning it won't pollute the air like power plants that burn fossil fuels, such as coal or natural gas. ... In addition to a sustainable fuel source, hydropower efforts produce a number of benefits, such as flood control, irrigation, and water supply.
Explanation:
Determine the horsepower required to compress 1 lbm/min of ethylene oxide from 70 oF and 1 atm to 250 psia. The compressor has an efficiency of 75%. The molar heat capacity of ethylene oxide is given by Cp
Complete Question:
Problem 8 Determine the horsepower required to compress 1 lbm/min of ethylene oxide from 70 °F and 1 atm to 250 psia. The compressor has an efficiency of 75%. The molar heat capacity of ethylene oxide is given by
C_p=10.03+0.0184T C_p[=]Btu/lbmole- "F ; T[=] °F C,
Answer:
\(P'=0.377hp\)
Explanation:
From the question we are told that:
Initial Temperature T_1=70 F
Final Temperature \(T_2=250pisa =114.94F\)
Efficiency \(E=75\%=0.75\)
Generally the equation for Work-done is mathematically given by
\(W=\int C_pT\)
\(W=10.03(114.94-70 )+0.0184((114.94)^2-70^2 )\)
\(W=527.21btu/ibmole\)
\(W=11.982btu/ibm\)
Generally the equation for Efficiency is mathematically given by
\(E=\frac{isotropic Power}{Actual P'}\)
\(E=\frac{P}{P'}\)
Since
Isotropic Power
\(P=0.0167*11.982btu/ibm\)
\(P=0.2btu/s\)
Therefore
\(P'=\frac{0.2}{0.75}\)
\(P'=0266btu/s\)
Since
\(1btu/s=1.4148hp\)
Therefore
\(P'=0.377hp\)
There is a proposal to replace the entire system with a single generator that has a reliability as good or better than the current one-year reliability. 6. What would be the required MTBF (in hours) for the new generator (assume exponential and 8760 hours/year)? 7. How many total test hours should be allocated for the new generator (assuming 1 failure is allowed) at 50% confidence? 8. Suppose the budget only supported 30,000 total test hours for the new generator. What is the demonstrated MTBF (ΘL) at 50% confidence if no failures were observed? Was the requirement demonstrated? Consider the original system diagram with Generator B as continuously operating (not in standby mode) with no load sharing. 9. What is the static relaibility of the system for this situation? 10. Convert the block diagram to a Fault Tree. Calculate the probability of the top-level event (system failure)?
The required MTBF (in hours) for the new generator (assuming exponential and 8760 hours/year) will be 8760 hours.
7. Total test hours should be allocated for the new generator (assuming 1 failure is allowed) at 50% confidence should be 688 hours.
8. The demonstrated MTBF (ΘL) at 50% confidence if no failures were observed will be 43,800 hours. Yes, the requirement was demonstrated.
9. The static reliability of the system for this situation can be determined by calculating the probability of no failure. The probability of no failure will be 0.85 * 0.95 * 0.98 * 0.99 = 0.764. Therefore, the static reliability of the system for this situation will be 0.764.10.
Probability of the top-level event (system failure) can be calculated by adding the probabilities of all the paths leading to the top-level event. The probability of the top-level event (system failure) will be:
P(system failure) = P(Gen A failure) + P(Gen B failure) + P(Gen C failure) + P(Tie Bus failure) * P(No load shedding) + P(Tie Bus failure) * P(Load shedding)
P(Gen A failure) = 1 - e^(-8760/30000) = 0.215
P(Gen B failure) = 0.85 * (1 - e^(-8760/18000)) = 0.37
P(Gen C failure) = 0.95 * (1 - e^(-8760/30000)) = 0.276
P(Tie Bus failure) = 0.98
P(No load shedding) = 0.99
P(Load shedding) = 0.01
P(system failure) = 0.215 + 0.37 + 0.276 + 0.98 * 0.99 + 0.98 * 0.01 * (1 - P(Gen A failure)) * (1 - P(Gen B failure)) * (1 - P(Gen C failure)) * P(Tie Bus failure)P(system failure) = 0.215 + 0.37 + 0.276 + 0.98 * 0.99 + 0.98 * 0.01 * (1 - 0.215) * (1 - 0.37) * (1 - 0.276) * 0.98P(system failure) = 0.9644
Therefore, the probability of the top-level event (system failure) will be 0.9644.
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