Answer:
1. Rounding numbers.
2. Imperfection of the instruments used.
3. Environment where the experiment was made.
4. Human error.
You have been allocated a club instance to conduct pic for a customer.what steps do you need to follow before initiating the pic ?
Explanation:
1. Verify the scope of work: Make sure you understand the scope of work and requirements for the customer's club instance. Confirm with the customer if any specific settings or customizations are required.
2. Schedule the PIC: Coordinate with the customer to schedule a suitable time and date for the PIC. Ensure that all necessary stakeholders are available and informed.
3. Review the customer's club instance: Review the customer's club instance to identify any potential issues or conflicts that need to be addressed during the PIC. Check the instance for any configuration, integration, or data issues.
4. Prepare for the PIC: Prepare a checklist and any necessary tools or documentation for the PIC. Make sure you have access to the customer's club instance, including any necessary login credentials or permissions.
5. Initiate the PIC: Once you have completed the above steps, initiate the PIC by going through the checklist and verifying that the customer's club instance is set up correctly and meets their requirements. Identify any issues or gaps that need to be addressed and work with the customer to resolve them.
6. Follow up: Once the PIC is complete, provide the customer with a report or summary of the findings. Follow up with any necessary actions or next steps, and confirm that the customer is satisfied with the results
What did the US and USSR agree on in the INF Treaty? They agreed to reduce nuclear weapons. They agreed that new European nations would be democratic. They agreed to tear down the Berlin Wall. They agreed that the USSR should break into several countries.
Answer:
they agreed to reduce nuclear weapons
Answer:
A
Explanation:
Edu 2023
given an input clock signal at 10 mhz, what frequency would a[0] alternate? what frequency would a[1] alternate?
To make a counter, D Flip-Flops and adders will be used. A 4-bit
What frequency would a[0] alternate at given an input clock signal of 10 mhz? a[1] would alternate at what frequency?
Applying foam is another component of the overall foam strategy that, if not done correctly, can result in injury and property loss. So far, we've talked about creating a foam setup with the right nozzles, appliances, and hoselays.
We've talked about concentrate types and application rates, as well as expansion ratios and foam drain time. Now it's time to apply the finished foam to the spill or fire.
We've said it before in this series, and it's so important that we'll say it again. As with any potential fire, we should always supply the bare minimum of finished foam.
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use the range rule of thumb to find the usual range of x values. enter answer as an interval using square-brackets and only whole numbers.
The minimum value of the interval is two standard deviations below the mean (μ - 2σ), while the maximum value of the interval is two standard deviations above the mean (μ + 2σ).
The range rule of thumb states that the usual measures in an interval are within two standard deviations of the mean.
The parameters you are given to solve this problem are:
Mean μ.
Standard deviation σ.
Hence the lower bound of the interval is of:
μ - 2σ -> you should subtract two standard deviations from the mean.
The upper bound of the interval is of:
μ + 2σ -> you should add two standard deviations to the mean.
Therefore, The minimum value of the interval is two standard deviations below the mean (μ - 2σ), while the maximum value of the interval is two standard deviations above the mean (μ + 2σ).
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Give the approximate temperature at which it is desirable to heat each of the following iron-carbon alloys during a full anneal heat treatment (a) 0.25 wt% C (b) 0.45 wt% C (c) 0.85 wt% C (d) 1.10 wt% C. °C [tolerance is +/-596] °C [tolerance is +/-596] °C [tolerance is +/-596] °C [tolerance is +/-5%]
During a full anneal heat treatment, the desired temperature for heating iron-carbon alloys depends on their carbon content. Here are the approximate temperatures for each alloy:
(a) 0.25 wt% C: Around 727°C [tolerance is +/-596°C]
(b) 0.45 wt% C: Approximately 727°C [tolerance is +/-596°C]
(c) 0.85 wt% C: Roughly 760°C [tolerance is +/-596°C]
(d) 1.10 wt% C: About 740°C [tolerance is +/-5%]
(a) 0.25 wt% C: At this carbon content, the alloy is considered a low-carbon steel. The approximate temperature for a full anneal heat treatment is around 727°C. This temperature allows for the formation of a fine-grained microstructure and the elimination of internal stresses in the material.
(b) 0.45 wt% C: This carbon content falls within the range of medium-carbon steel. Similar to the previous alloy, the approximate temperature for a full anneal heat treatment is around 727°C. The purpose of annealing is to refine the microstructure, enhance ductility, and reduce hardness in the material.
(c) 0.85 wt% C: With this carbon content, the alloy is considered a high-carbon steel. The approximate temperature for a full anneal heat treatment is roughly 760°C. The higher carbon content requires a slightly elevated temperature to achieve the desired transformation and improve the material's machinability and workability.
(d) 1.10 wt% C: This carbon content indicates a hypereutectoid steel, which means it has more carbon than is soluble in the iron matrix. The approximate temperature for a full anneal heat treatment is about 740°C. Annealing at this temperature allows for the formation of a microstructure consisting of coarse pearlite, which provides improved strength and wear resistance.
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Into which of the six kingdoms should the organism be placed? Construct a response to state your claim, use evidence, and support with reasoning. Include the list of common characteristics of the kingdom and why it does not belong in the other kingdoms in your justification.
Answer: The organism is an amoeba belonging to the protist kingdom.
Explanation: The organism cannot be placed in the plantae kingdom because the organism does not contain a cell wall or chloroplasts. The organism also cannot be bacteria or Archaebacteria because it has a nucleus. The organism cannot belong to the fungi or animalia kingdom because it contains psedupodium.
dentify the recommended practices when putting a tip on a micropipette. Select one or more: Gently push the micropipette into the tip and tap lightly to load the tip. Hold the micropipette at a 45 degree angle to the tip rack. Use the tip size designed for the micropipette size in use. Remove the tip from the rack and place it on micropipette by hand.
Answer:
Gently push the micropipette into the tip box and tag tightly to load the tip.
Explanation:
The recommended practice when putting a tip on a micropipette is ; Gently push the micropipette into the tip box and tag tightly to load the tip.
Given that it is not advisable to remove tip from rack so as not to contaminate it, if we want to put a tip on a micropipette we should gently push the micropipette into the tip box.
A centimeter is Viooth of a meter, while a kilo-
meter is equal to 1000 meters.
a. True
b. False
Answer:
b. False
Explanation:
A centimeter is a hundredth of a meter. This means 1/100 ,1 cm = 0.01 m
A kilo is 1000 grams.
The first answer is false because a hundredth isnot written well.
The second statement is false because the comparison given is of different units of measure. For distance is meters where as for weight is kilograms.
ctal numbers have a base of eight and the digits 0–7. Write the scripts octalToDecimal.py and decimalToOctal.py, which convert numbers between the octal
and decimal representations of integers. These scripts use algorithms that are
similar to those of the binaryToDecimal and decimalToBinary scripts developed in Section 4-3
**`octalToDecimal.py`**:
```python
def octal_to_decimal(octal):
decimal = 0
power = 0
while octal != 0:
digit = octal % 10
decimal += digit * (8 ** power)
power += 1
octal //= 10
return decimal
octal_number = input("Enter an octal number: ")
decimal_number = octal_to_decimal(int(octal_number))
print("Decimal representation:", decimal_number)
```
**`decimalToOctal.py`**:
```python
def decimal_to_octal(decimal):
octal = 0
power = 0
while decimal != 0:
digit = decimal % 8
octal += digit * (10 ** power)
power += 1
decimal //= 8
return octal
decimal_number = input("Enter a decimal number: ")
octal_number = decimal_to_octal(int(decimal_number))
print("Octal representation:", octal_number)
```
These scripts utilize algorithms similar to the ones used in the `binaryToDecimal` and `decimalToBinary` scripts. In `octalToDecimal.py`, the octal number is divided by 10 iteratively to extract each digit, which is then multiplied by the corresponding power of 8 and added to the decimal representation.
Similarly, in `decimalToOctal.py`, the decimal number is divided by 8 iteratively to obtain the octal digits, which are multiplied by the corresponding power of 10 and added to the octal representation.
By employing these scripts, you can conveniently convert numbers between octal and decimal representations using basic arithmetic operations.
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Expression for calories burned during workout
18) Technician A says that adjustable wrenches should be used when
torquing fasteners. Technician B says that adjustable wrenches can round
the edges of fasteners. Which technician is correct?
A) Technician A only
B) Technician B only
O C) Both technicians
D) Neither technician
3. Suppose up to 300 cars per hour can travel between any two of the cities 1, 2, 3, and 4. Formulate a maximum flow problem that can be used to determine how many cars can be sent in the next two hours from city 1 to city 4. Give the network diagram and the LP formulation for your model.
Let $x ij$ represent the quantity of cars that will be delivered in the following two hours from city I to city j.
Create a maximum flow issue?Network Diagram:
LP Formulation:
Maximize Z = 150x14 + 150x24
Subject to:
x11 + x12 + x13 + x14 <= 300 (flow from city 1 to other cities)
x21 + x22 + x23 + x24 <= 300 (flow from city 2 to other cities)
x31 + x32 + x33 + x34 <= 300 (flow from city 3 to other cities)
x41 + x42 + x43 + x44 <= 300 (flow from city 4 to other cities)
x11 + x21 + x31 + x41 = 150 (flow into city 1)
x12 + x22 + x32 + x42 = 150 (flow into city 2)
x13 + x23 + x33 + x43 = 150 (flow into city 3)
x14 + x24 + x34 + x44 = 150 (flow into city 4)
xij >= 0 (all variables must be positive)
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(20 points) {brainliest} pls helpp
Manufacturing processes involve several types of waste. Which methodology seeks to reduce all types of waste to improve efficiency?
A. Six Sigma
B. Just-in-time production
C. Agile project management
D. Lean manufacturing
drawing of twisted drill
After cutting a PVC pipe you should use a
to debure the pipe
Answer:
Deburring Tool
Explanation:
A deburring tool is used in order to debur the PVC pipes. They are mostly used for the plastic pipes.
After the PVC pipes are cut, there are burrs on the pipe surface. To remove these burrs, a deburring tool is used. It removes the burrs form the edges of the PVC pipes that results from grinding, cutting, milling, drilling, etc.
The deburring tools are made from high speed steels.
2.56. Consider Example 2.4.2 for Car 1 illustrated in Figure P2.56 if three passengers total- ing 200 kg are riding in the car. Calculate the effect of the mass of the passengers on the deflection at 20, 80, 100, and 150 km/h. What is the effect of the added passenger mass on Car 2?
In Example 2.4.2 for Car 1, we calculated the deflection at different speeds assuming no additional passenger mass. However, if three passengers with a total weight of 200 kg are riding in the car, their added mass will affect the deflection of the car's suspension system.
To calculate the effect of the added passenger mass on the deflection at different speeds, we need to use the following formula:
Δd = (M_passenger * g * l^3) / (48 * E * I * v^2)
Where:
Δd = deflection due to the added passenger mass
M_passenger = total mass of the passengers (200 kg in this case)
g = acceleration due to gravity (9.81 m/s^2)
l = distance between the wheels (assumed to be 2.5 m for Car 1)
E = modulus of elasticity of the suspension system (assumed to be 200 GPa for Car 1)
I = moment of inertia of the suspension system (assumed to be 4.5e-5 m^4 for Car 1)
v = velocity of the car (20, 80, 100, or 150 km/h)
Using this formula, we can calculate the deflection due to the added passenger mass at each speed:
- At 20 km/h: Δd = (200 * 9.81 * 2.5^3) / (48 * 200e9 * 4.5e-5 * (20/3.6)^2) = 1.92e-3 m
- At 80 km/h: Δd = (200 * 9.81 * 2.5^3) / (48 * 200e9 * 4.5e-5 * (80/3.6)^2) = 3.88e-2 m
- At 100 km/h: Δd = (200 * 9.81 * 2.5^3) / (48 * 200e9 * 4.5e-5 * (100/3.6)^2) = 6.82e-2 m
- At 150 km/h: Δd = (200 * 9.81 * 2.5^3) / (48 * 200e9 * 4.5e-5 * (150/3.6)^2) = 1.84e-1 m
As we can see, the deflection due to the added passenger mass increases as the speed of the car increases.
Regarding Car 2, we cannot determine the exact effect of the added passenger mass without knowing its specific suspension system parameters. However, in general, the added mass of the passengers will affect the deflection of the suspension system and may cause the car to handle differently.
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"Como define al ser Humano, la Religión, la biología y la filosofía." y es religion Y urgenteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Explanation:
Los seres humanos siempre han tenido la necesidad de explicar y comprender los hechos sobre el mundo, ellos mismos y la naturaleza. La religión se configura como un conjunto de creencias comunes a una comunidad, que busca conectar al hombre con una fe en una divinidad superior que explique una visión y construcción del mundo. En sentido antropológico, la religión es una construcción evolutiva de parámetros sociales y dogmáticos como búsqueda de la creación de un sentido de pertenencia social, además de la búsqueda de la comprensión de uno mismo y del desarrollo espiritual.
La biología y la filosofía surgen como conceptos amplios que buscan explicar otros conceptos sobre la ciencia de manera sistemática, diferente a buscar una comprensión del mundo a través de la religión. La filosofía como concepto de que el hombre puede comprender el mundo a través de sus propias visiones y descubrimientos, desarrollando el pensamiento crítico y la búsqueda del conocimiento, que desarrolló las ciencias, entre ellas la biología que ayudó en la comprensión de parámetros esenciales para la calidad de vida humana, como la medicina por ejemplo.
Entonces hay una convergencia de los conceptos de religión, biología y filosofía, y es posible que el hombre crea en cada uno sin que el otro concepto se vea afectado.
Engine vacuum is being discussed. Technician A says that when the engine is operating under light loads, engine vacuum is low. Technician B says that engine vacuum is high when the engine is operated under heavy loads. Who is correct?
a. A only
b. B only
c. both A and B
d. neither A nor B
Technician A id correct that when the engine is operating under light loads, engine vacuum is low.
Engine vacuum is a measure of the difference in pressure between the intake manifold and the outside air. When the engine is operating under light loads, the throttle is nearly closed, and there is less air flowing into the engine. This results in a lower intake manifold pressure, which translates to lower engine vacuum. On the other hand, when the engine is operating under heavy loads, the throttle is open wider to allow more air into the engine. This results in a higher intake manifold pressure, which translates to higher engine vacuum. Therefore, the correct answer is a. A only.
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What would happen if an exposed film was accidentally placed in the fixer before being placed in the developer
A force measuring instrument comes with a certificate of calibration that identifies two instrument errors and assigns each an uncertainty at 95% confidence over its range. Provide an estimate of the instrument design-stage uncertainty.
Resolution: 0.25 N
Range: 0 to 100 N
Linearity error: within 0.20 N over range
Hysteresis error: within 0.30 N over range
Answer:
\(U=\pm 0.382N\)
Explanation:
From the question we are told that:
Resolution: 0.25 N
Range: 0 to 100 N
Linearity error: within 0.20 N over range
Hysteresis error: within 0.30 N over range
Generally the equation for Stage Uncertainty is mathematically given by
\(U=\sqrt{u_0^2+u_T^2}\)
Where
\(u_0=Zero\ order\ uncertainty\)
\(u_0=\pm 0.5*0.25\)
\(u_0=\pm=0.125\)
And
u_T=Total instrumental Uncertainty
\(u_T=\sqrt{l_e^2+h_e^2}\)
Where
l_e=Error of linearity
h_e=Error due to hysteresis
Hence
\(u_T=\sqrt{0.20^2+0.30^2}\)
\(u_T=\pm 0.36\)
Therefore
\(U=\sqrt{(0.125)^2+0.36^2}\)
\(U=\pm 0.382N\)
if the oil pressure gauge fluctuates over a wide range from zero to normal operating pressure, the most likely cause is group of answer choices low oil supply. broken or weak pressure relief valve spring. air lock in the scavenge pump intake.
If the oil pressure gauge fluctuates over a wide range from zero to normal operating pressure, the most likely cause is air lock in the scavenge pump intake.
Oil pressure gauge fluctuation is a common problem for the engine. It can occur due to various reasons such as faulty oil pressure gauge, oil pump failure, improper maintenance of the engine, oil leakage, and much more. But if the oil pressure gauge fluctuates over a wide range from zero to normal operating pressure, the most likely cause is air lock in the scavenge pump intake.The scavenge pump in the engine is used to remove the oil from the engine's crankcase and delivers it back to the oil tank. If there is an air lock in the scavenge pump intake, then it will not pump the oil properly from the crankcase and deliver it back to the oil tank. It will cause the oil pressure to fluctuate over a wide range from zero to normal operating pressure.To fix this issue, you should first check the oil level in the engine and make sure that it is at the proper level. After that, you can check the scavenge pump intake for any air lock or blockage. If there is an air lock, then you need to remove it. If there is a blockage, then you need to remove the blockage to get the oil pump working again properly.
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(a) (6 points) Find the integer a in {0, 1,..., 26} such that a = -15 (mod 27). Explain. (b) (6 points) Which positive integers less than 12 are relatively prime to 12?
a. a = 12 is the solution to the given congruence relation. b. the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
(a) The main answer: The integer a that satisfies a ≡ -15 (mod 27) is 12.
To find the value of a, we need to consider the congruence relation a ≡ -15 (mod 27). This means that a and -15 have the same remainder when divided by 27.
To determine the value of a, we can add multiples of 27 to -15 until we find a number that falls within the range of {0, 1,..., 26}. By adding 27 to -15, we get 12. Therefore, a = 12 is the solution to the given congruence relation.
(b) The main answer: The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Supporting explanation: Two integers are relatively prime if their greatest common divisor (GCD) is 1. In this case, we are looking for positive integers that have no common factors with 12 other than 1.
To determine which numbers satisfy this condition, we can examine each positive integer less than 12 and calculate its GCD with 12.
For 1, the GCD(1, 12) = 1, which means it is relatively prime to 12.
For 2, the GCD(2, 12) = 2, so it is not relatively prime to 12.
For 3, the GCD(3, 12) = 3, so it is not relatively prime to 12.
For 4, the GCD(4, 12) = 4, so it is not relatively prime to 12.
For 5, the GCD(5, 12) = 1, which means it is relatively prime to 12.
For 6, the GCD(6, 12) = 6, so it is not relatively prime to 12.
For 7, the GCD(7, 12) = 1, which means it is relatively prime to 12.
For 8, the GCD(8, 12) = 4, so it is not relatively prime to 12.
For 9, the GCD(9, 12) = 3, so it is not relatively prime to 12.
For 10, the GCD(10, 12) = 2, so it is not relatively prime to 12.
For 11, the GCD(11, 12) = 1, which means it is relatively prime to 12.
Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
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Explain Why programs when are developed using evolutionary development are likely to be difficult to maintain
Answer:
When a system is produced using the evolutionary development model, features tend to be added without regard to an overriding design. With each modification, the software becomes increasingly disorganized. System maintenance hampered by these problems, as it is harder identifying the source of bugs in poorly designed systems. Also, keeping the documentation up to date over successive "evolution" is uncommon. Poor documentation also makes maintenance more difficult.
Explanation:
・It leads to implementing and then repairing way of building systems.
・Practically, this methodology may increase the complexity of the system as scope of the system may expand beyond original plans.
・Incomplete application may cause application not to be used as the full system was designed.
・Their results have incomplete or inadequate problem analysis.
Which of the following groups of stakeholders place constraints on project work such as requiring permits to be secured, that work is built to code, or that safety standards are met? (Select all that apply)
A- Customers
B- Project Sponsors
C- Top Management
D-Government Agencies
E- Project Managers
The group of stakeholders that place constraints on project work such as requiring permits to be secured, that work is built to code, or that safety standards are met include Customers, Government Agencies. Thus, the correct options are A and D.
Stakeholders are individuals or groups who can impact or be impacted by a project, initiative, or business. Internal and external stakeholders, customers, suppliers, regulators, employees, shareholders, and competitors are all types of stakeholders.Types of stakeholdersCustomersCustomers are stakeholders who buy or use the product or service of a company. They can also provide feedback and requests for new products.Project sponsors They're the people who have requested the project and are financially responsible for it. The sponsor is the one who can stop, restart, or change the project's scope.Top managementThe highest level of management in an organization is top management. These executives are in charge of the company's overall goals and strategies.Government agenciesThe government has an important role to play in the development of the project. The government agency may establish laws or regulations that must be followed. If a company fails to follow these rules, it may face legal consequences.Project managersThey're in charge of the day-to-day operations of a project. They must ensure that the project is completed on schedule, within budget, and according to the specifications.
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The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 8.7 kN. Determine the required tension T in cable AC such that the net effect of the two cables is a downward force at point A. Determine the magnitude R of this downward force.
Answer:
\( T_A_C = 6.296 kN \)
\( R = 10.06 kN \)
Explanation:
Given:
\( T_A_B = 8.7 kN\)
Required:
Find the tension TAC and magnitude R of this downward force.
First calculate \( \alpha, \beta, \gamma \)
\( \alpha = tan^-^1 =\frac{40}{50} = 38. 36 \)
\( \beta = tan^-^1 =\frac{50}{30} = 59.04 \)
\( \gamma = 180 - 38.36 - 59.04 = 82.6 \)
To Find tension in AC and magnitude R, use sine rule.
\( \frac{sin a}{T_A_C} = \frac{sin b}{T_A_B} = \frac{sin c}{R} \)
Substitute values:
\(\frac{sin 38.36}{T_A_C} = \frac{sin 59.04}{8.7} = \frac{82.6}{R}\)
Solve for T_A_C:
\( T_A_C = 8.7 * \frac{sin 38.36}{sin 59.04} = \)
\( T_A_C = 8.7 * 0.724 = 6.296 kN \)
Solve for R.
\( R = 8.7 * \frac{sin 82.6}{sin 59.04} = \)
\( R = 8.7 * 1.156 \)
R = 10.06 kN
Tension AC = 6.296kN
Magnitude,R = 10.06 kN
What signal propagation phenomena causes the diffusion, or the reflection in multiple different directions, of a signal?
In the radio communication system, multipath is the propagation phenomenon that causes diffusion or reflection in multiple different directions of a signal.
Multipath is a propagation mechanism that impacts the propagation of signals in radio communication. Multipath results in the transmission of data to the receiving antenna by two or more paths. Diffusion and reflection are the causes that create multiple paths for the signal to be delivered.
Diffraction occurs when a signal bends around sharp corners; while reflection occurs when a signal impinges on a smooth object. When a signal is received through more than one path because of the diffraction or reflection, it creates phase shifting and interference of the signal.
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Which of the following TWO choices would be TRUE characteristics of "democratic" systems of government?
Group of answer choices
Loyalty to a leader
Equal Opportunity
No Due Process
Limited Free Speech
Free and Open Elections
The TWO alternatives would be Genuine hallmarks of "democratic" forms of government: equal opportunity and free and open elections.
What are the two types of democracy that are most prevalent?The two types of democracy that are most prevalent now are representative democracy and indirect democracy. When citizens choose representatives to enact laws on their behalf, this is known as indirect democracy or representative democracy.
What two forms of democratic government exist?A representative democracy that upholds the rule of law and protects people's rights to their property is referred to as a liberal democracy. The ability of elected representatives to rule however they choose is weakly or not at all constrained in an illiberal democracy.
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what is the risk value of a risk whose impact score is 5, whose probability score is 5 and whose detection score is 1?
The risk value of a risk whose impact score is 5, with a probability score is 5. The detection score is 25. The correct option is D.
What is the risk?The analysis's output, the risk score, is produced by dividing the Risk Impact Rating by the Risk Probability. It's the quantitative statistic that enables important individuals to decide about risks swiftly and with confidence.
Risk = probability x loss
The probability is 5
The impact score is 5
substituting the values in the equation
Risk = 5 x 5 = 25
Therefore, the correct option is D. 25.
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The question is incomplete. Your most probably complete question is given below:
A. 5
B. 1
C. 10
D. 25
A pumping test was made in pervious gravels and sands extending to a depth of 50 ft. ,where a bed of clay was encountered. The normal ground water level was at the ground surface. Observation wells were located at distances of 10 and 25 ft. from the pumping well. At a discharge of 761 ft3 per minute from the pumping well, a steady state was attained in about 24 hr. The draw-down at a distance of 10 ft. was 5.5 ft. and at 25 ft. was 1.21 ft. Compute the hydraulic conductivity in ft. /sec.
Answer:per minute from the pumping well, a steady state was attained in about 24 hr. The draw-down at a distance of 10 ft. was 5.5 ft. and at 25 ft. was 1.21 ft.
Explanation:
In the figure, a stone is projected at a cliff of height, h, with an initial speed of 46.0 m/s directed at an angle θ0=65.0 above the horizontal. The stone strikes at A, 5.54 s after launching. Find:(a) the height, h of the cliff(b) the speed of the stone just before impact at A(c) the maximum height, H reached above the ground.
(a) The height of the cliff is 80.5 m
(b) The final velocity of the stone before it strikes A is 26.22 m/s
(c) The maximum height reached by the stone is 88.67 m
What is an illustration of velocity?Velocity may be defined as the rate at which an object moves in a certain direction. as the pace of a car driving north on a roadway or the pace at which a rocket takes off.
How can I determine velocity?By dividing the amount of time it took the item to go a certain distance by the overall distance, one may calculate the object's initial velocity. V is indeed the velocity, the distance d while t is the time inside the formula V = d/t.
(a) Using the same coordinate system assumed in Eq. , we solve for y=h:
h=y₀+v₀sinθ₀t−1/2gt²
which yields h=80.5m for y₀=0, v₀=46.0m/s, θ₀=65.0°, and t=5.54s.
(b) The horizontal motion is steady, sovₓ =v₀ₓ =v₀cosθ₀ but the vertical component of velocity varies according to Eq. . Thus, the speed at impact is
v=√(v₀ cos₀)²+(v₀ sinθ₀− gt)²=26.22m/s
(c) We use Eq. with vy and y=H:
H=(v₀sinθ₀)²/2g=88.67m.
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