if x has an exponent ial (.a) pdf, what is t he pdf of w = x 2 ?
Answers
If x has an exponential PDF with the parameter "a," the PDF of x is given by f_x(x) = a * e^(-a * x) for x ≥ 0. To find the PDF of w = x^2, we can use the transformation technique.
First, we need to find the relationship between x and w. Since w = x^2, we have x = sqrt(w). Now, let's find the derivative of x with respect to w: dx/dw = 1 / (2 * sqrt(w)). Next, we can find the PDF of w, denoted by f_w(w), using the transformation formula: f_w(w) = f_x(x) * |dx/dw|. Substituting the expressions for f_x(x) and dx/dw, we get:
f_w(w) = a * e^(-a * sqrt(w)) * (1 / (2 * sqrt(w)))
So, the PDF of w = x^2, when x has an exponential PDF with parameter "a," is given by:
f_w(w) = (a / 2) * e^(-a * sqrt(w)) / sqrt(w) for w ≥ 0.
Learn more about transformation formula: https://brainly.com/question/10904859
#SPJ11
Related Questions
1.3. If the surface tension coefficient of a fluid is 0,07 N/m and the radius
of the droplet is 2,5 mm. calculate:
1.3.1 surface tension force
(2)
1.3.2 difference in pressure of the droplet
(1)
Answers
Answer:
A) F = 0.011 N
B) ΔP = 5.6 N/m²
Explanation:
We are given;
surface tension coefficient; S = 0.07 N/m
Radius; r = 2.5 mm = 0.025 m
A) Formula to find the surface tension force(F) is given by;
F = SL
Where L is effective length = 2πr
F = 0.07 × 2π × 0.025
F = 0.011 N
B) Formula for difference in pressure droplet is;
ΔP = 2S/r
Thus;
ΔP = (2 × 0.07)/0.025
ΔP = 5.6 N/m²
We have a credit charge that is trying to process but we do not remember signing up and email login is not working? Is there a way to check?
Answers
Answer:
Yes
Explanation:
In such a case, one way to check the credit charge is to contact your bank, doing so would allow the bank to check your account properly to determine where the transaction was originated from.
Another way you could check is to contact the online merchant where such a transaction was initiated.
A horizontal force P is applied to a 130 kN box resting on a 33 incline. The line of action of P passes through the center of gravity of the box. The box is 5m wide x 5m tall, and the coefficient of static friction between the box and the surface is u=0.15. Determine the smallest magnitude of the force P that will cause the box to slip or tip first. Specify what will happen first, slipping or tipping.
Answers
Answer:
SECTION LEARNING OBJECTIVES
By the end of this section, you will be able to do the following:
Distinguish between static friction and kinetic friction
Solve problems involving inclined planes
Section Key Terms
kinetic friction static friction
Static Friction and Kinetic Friction
Recall from the previous chapter that friction is a force that opposes motion, and is around us all the time. Friction allows us to move, which you have discovered if you have ever tried to walk on ice.
There are different types of friction—kinetic and static. Kinetic friction acts on an object in motion, while static friction acts on an object or system at rest. The maximum static friction is usually greater than the kinetic friction between the objects.
Imagine, for example, trying to slide a heavy crate across a concrete floor. You may push harder and harder on the crate and not move it at all. This means that the static friction responds to what you do—it increases to be equal to and in the opposite direction of your push. But if you finally push hard enough, the crate seems to slip suddenly and starts to move. Once in motion, it is easier to keep it in motion than it was to get it started because the kinetic friction force is less than the static friction force. If you were to add mass to the crate, (for example, by placing a box on top of it) you would need to push even harder to get it started and also to keep it moving. If, on the other hand, you oiled the concrete you would find it easier to get the crate started and keep it going.
Figure 5.33 shows how friction occurs at the interface between two objects. Magnifying these surfaces shows that they are rough on the microscopic level. So when you push to get an object moving (in this case, a crate), you must raise the object until it can skip along with just the tips of the surface hitting, break off the points, or do both. The harder the surfaces are pushed together (such as if another box is placed on the crate), the more force is needed to move them.
as the angle of the ramp is increased the force parallel increases /decreases / remains the same
Answers
As the angle of the ramp is increased, the force parallel increases. Hence, option (a) can be considered as the correct answer.
When the angle of a ramp is increased, the force parallel to the ramp, also known as the parallel component of the gravitational force, does increase. This is because the component of gravity acting parallel to the ramp increases with the angle. However, it's important to note that the total gravitational force acting on an object remains constant regardless of the angle of the ramp.As the angle of the ramp increases, the force required to push or pull an object up the ramp against gravity increases. This is due to the increase in the vertical component of the gravitational force, which opposes the motion up the ramp. The parallel force required to overcome this increased vertical force also increases.
To know more about, gravitational force, visit :
https://brainly.com/question/29190673
#SPJ11
5 Systems Modeling
es / SPE(2201 / General / Business System Modelling CAT
2. Business Process Modelling is important to a business due to the following advantages except:
(2 marks)
O a. None of the above
h
O b. Enhances Customization of Business Processes
O c Enhances Competitive advantage
O d. Enhances Process Communication
age
Next pag
Answers
Answer: None of the above
Explanation:
Business process modeling refers to the graphical representation of the business processes of a company, which is vital in the identification of potential improvements.
Business pticess modelling can be done through graphing methods, like data-flow diagram, flowchart etc. It is vital as business managers can effectively and quickly communicate their ideas.
It also enhances the customization of business processes, enhances the competitive advantage and enhances the process communication as well.
Therefore, the answer to the question will be "None of the above".
What type of drill bit can produce a blind hole with a flat bottom
Answers
Answer:
end mill 4 flute
Explanation:
you can simply hook it up
Under a subsection for geological hazards the buyer is encouraged to obtain an read the booklet
Answers
Answer:
Buyer is encouraged to obtain and read the booklet entitled "The Homeowners Guide to Earthquake Safety." In most cases a questionnaire within the booklet must be completed by Seller and the entire booklet given to the Buyer if the Property was built prior to 1960.
List 3 specific things you can do with a screw gun (not just screw in screws)
Answers
Answer:
Install drywall
insert wood panels
unscrew nails
Explanation:
Which battery cable is bolted to the vehicle frame to allow the metal structure of the vehicle to serve as a large conductor to carry current?
Answers
Answer:
The Negative battery cable is used to bolt the vehicle frame to allow the metal structure of the vehicle to serve as a large conductor to carry current.
Explanation:
Battery cable is large automotive cable. Like smaller types of automotive wire, it is available in PVC and cross-linked forms. Click here to read an earlier post explaining the differences between PVC and cross-linked wire insulation.
One type of PVC battery cable is SGT cable. It is rated to 80°C and therefore can be used in starters or battery grounds. Cross-linked battery cables can also be used in starter and battery ground applications, and they are more resistant to heat, abrasion, and aging than PVC cable.
Two types of cross-linked battery cable are SGX and STX. They are rated to 125°C. Of the three types of battery cable (SGT, SGX, amd STX), STX has the thinnest wall, making it a popular choice for automotive applications with limited space.
To learn more about this visit the link:
https://brainly.com/question/26923743
https://brainly.com/question/29354736
A driver younger than 18 years of age may not operate a motor vehicle with any passenger who is not an immediate family member until 6 months from the date that the person's driver's license was issued.
O True
O False
Answers
ahahahahaggaaggagagag
Consider a machine of mass 70 kg mounted to ground through an isolation system of total stiffness 30,000 N/m, with a measured damping ratio of 0.2. The machine produces a harmonic force of 450 N at 13 rad/s during steady-state operating conditions. Determine
Answers
Complete Question
Consider a machine of mass 70 kg mounted to ground through an isolation system of total stiffness 30,000 N/m, with a measured damping ratio of 0.2. The machine produces a harmonic force of 450 N at 13 rad/s during steady-state operating conditions. Determine
(a) the amplitude of motion of the machine,
(b) the phase angle of the motion,
(c) the transmissibility ratio,
(d) the maximum dynamic force transmitted to the floor, and
(e) the maximum velocity of the machine.
Answer:
a) \(X=0.0272m\)
b) \(\phi=22.5 \textdegree\)
c) \(T_r=1.57\)
d) \(F=706.5N\)
e) \(V_{max}=0.35m/s\)
Explanation:
From the question we are told that:
Mass \(M=70kg\)
Total Stiffness \(\mu=30000\)
Damping Ratio \(r=0.2\)
Force \(F=450N\)
Angular velocity \(\omega =13rad/s\)
Generally the equation for vibration in an isolated system is mathematically given by
\(\omega_n=\sqrt{\frac{k}{m}}\)
\(\omega_n=\sqrt{\frac{30000}{70}}\)
\(\omega_n=20.7rad/s\)
a)
Generally the equation for Machine Amplitude is mathematically given by
\(X=\frac{F_O/m}{(\omega_n^2-\omega^2)^2-(2*r*\omega)*\omega_n*\omega^2)^{1/2}}\)
\(X=\frac{450}{70}}{(20.7^2-(137^2)^2-(2*0,2*(20.7(13)))^2)^{1/2}\)
\(X=0.0272m\)
b)
Generally the equation for Phase Angle is mathematically given by
\(\phi=tan^{-1}\frac{2*r*\omega_n*\omega}{\omega_n^2*\omega^2}\)
\(\phi=tan^{-1}\frac{2*0.2*20.7*13}{\20.7^2*13^2}\)
\(\phi=22.5 \textdegree\)
c)
Generally the equation for transmissibility ratio is mathematically given by
\(T_r=\sqrt{\frac{1+(2r\beta)^2}{(1-r^2)^2+(2*\beta*r)^2}}\)
Where
\(\beta=Ratio\ of\ angular\ velocity\)
\(\beta=\frac{13}{20.7}\\\beta=0.638\)
Therefore
\(T_r=\sqrt{\frac{1+(2*(0.2)(0.638))^2}{(1-(0.2)^2)^2+(2*0.2*0.638)^2}}\)
\(T_r=1.57\)
d)
Generally the equation for Maximum dynamic force transmitted to the floor is mathematically given by
\(F=(T_r)*F_o\)
\(F=(1.57)*450\)
\(F=706.5N\)
e)
Generally the equation for Maximum Velocity of Machine is mathematically given by
\(V_{max}=\omega*x\)
\(V_{max}=13*0.0272\)
\(V_{max}=0.35m/s\)
Consider the function f(n) = n
2 + 1000n, and do the following:
a) Prove that f(n) = O(n
3
) by finding a c0 and n0 such that f(n) ≤ c0 · n
3
for n > n0.
b) Prove that f(n) = O(n
2
) by finding a c1 and n1 such that f(n) ≤ c1 · n
2
for n > n1.
c) Prove that f(n) = Ω(n
2
) by finding a c2 and n2 such that f(n) ≥ c2 · n
2
for n > n2.
d) Prove that f(n) = Θ(n
2
) by finding a c3, c
′
3
, and n3 such that c3 · n
2 ≤ f(n) ≤ c
′
3
· n
2
for n > n3
Answers
get off this
Explanation:
Which of the two following four options have been shown by research to be generally not as effective a method for studying which two methods are more likely to produce illusions of complete in learning
Answers
The answer choices that have been shown by research to be generally not as effective a method for studying and the methods that are more likely to produce illusions of competence in learning are:
rereadinghigmappingWhat is Studying?This refers to the act or process of reading material in order to gain new knowledge about a topic and to retain the information in long-term memory.
Hence, we can see that from the complete text, there are different options given and the results of research that showed that they are not very effective for studying and they are:
rereadinghigmapping
Read more about studying here:
https://brainly.com/question/1077241
#SPJ1
Consider the following recursive method.
public int recur(int x)
{
if (x > 15)
{
return x / 2;
}
else
{
return recur(recur(x * 3));
}
What value is returned as a result of the call recur(8)?
a. 4
b. 9
c. 12
d. 18
e. 24
Answers
The value that is returned as a result of the call recur(8) is: c. 12.
What value is returned as a result of the call recur(8)?The method recur() recursively calls itself until the value of x exceeds 15.
If x is less than or equal to 15, then the method calls itself with the parameter recur(x3). This means that the method first calculates recur(83), which is recur(24). Since 24 is greater than 15, the method returns 24/2 = 12.
Therefore, the value returned as a result of the call recur(8) is 12. Answer option (c) is correct.
Learn more about recursively calls here:https://brainly.com/question/24167967
#SPJ1
In python
Write an expression that executes the loop body as long as the user enters a non-negative number.
Note: If the submitted code has an infinite loop, the system will stop running the code after a few seconds and report "Program end never reached." The system doesn't print the test case that caused the reported message.
Sample outputs with inputs: 9 5 2 -1
Body
Body
Body
Done.
Answers
Answer:
inputed = input("Choose some numbers, each separated with a space: ")
chosen = list(inputed)
chosen = chosen.remove(' ')
for value in chosen:
if '-' not in value:
print(Body)
else:
print(Done)
break
Explanation:
The for loop will go through every value in the list (your numbers) and check if it is positive or negative.
Nonrenewable resources indirectly harness the energy of the ____? PLEASE HELP ILL GIVE YOU BRAINLEIST!
A. the Sun
B. atmosphere
C. carbon atoms
D. Earth’s interior
Answers
Answer: C. carbon atoms
Explanation:
Non-renewable energy resources is a term usually used to refer to fossil fuels such as oil, natural gas and coal. These fossil fuels are so termed as they are remains of dead plant and animal matter from millions of years ago.
The main element in these fossil fuels is carbon which is the universal building block of life so will be present in the remains of previously alive matter. When non-renewable energy sources are therefore used, it is energy from carbon atoms that is being harnessed.
A. The Sun
Hope this helps :)
Evan is building a toy rocket. He wants to fill the rocket with high-pressure water in order to launch it into the air. Which of the following materials would be the best choice for constructing the outside of the rocket?
A.
a cardboard box
B.
a small paper garbage bag
C.
a two-liter plastic bottle
D.
a small plastic garbage bag
Answers
Explanation:
All the other options are all to weak to hold that type of pressure build up and answers A and B would get to soaked by the water.
The U.S. is heading toward its biggest political and constitutional crisis since the Civil War, and within the next three or four years there is a high probability of mass violence, the collapse of federal authority, and the division of the country into enclaves of Republicans and Democrats.
Answers
The U.S. is heading toward its biggest political and constitutional crisis since the Civil War, and the collapse of federal authority, as well as the division of the country into enclaves of Republicans and Democrats is known to be a true statement.
What is constitutional crisis?In regards to political science, a constitutional crisis is known to be a kind of an issue or a problem or it can be called a conflict in the function of a government that is said to be the political constitution or other fundamental governing law which is seen or perceived to be unable to handle the countries issues.
Hence, The U.S. is heading toward its biggest political and constitutional crisis since the Civil War, and the collapse of federal authority, as well as the division of the country into enclaves of Republicans and Democrats is known to be a true statement.
Learn more about constitutional crisis from
https://brainly.com/question/14320909
#SPJ1
You typically increase the decimal places from 1 to 2 for a(n) _____ field.A. CurrencyB. AutoNumberC. Long TextD. Money
Answers
You typically increase the decimal places from 1 to 2 for a A. Currency field.
When working with fields in a database, it is important to understand the various data types and how they should be formatted. One aspect of formatting involves the number of decimal places displayed for numeric fields. In this case, the question is asking about which field typically requires an increase in decimal places from 1 to 2. The options given are Currency, AutoNumber, Long Text, and Money. The field that typically requires an increase in decimal places from 1 to 2 is A. Currency. This is because currency values often require greater precision in order to accurately reflect the monetary amount being represented. To summarize, when working with a Currency field in a database, it is common to increase the decimal places from 1 to 2 in order to display a more precise monetary value.
To learn more about decimal places, visit:
https://brainly.com/question/50455
#SPJ11
describe potential errors due to trim heel and transducer separations in ships
Answers
Answer:
Trim heel and transducer separations are two potential errors that can affect the accuracy of a ship's draft and trim readings.
Trim heel refers to the angle of inclination of a ship in the water, which can affect the readings taken by the ship's sensors. If the ship is not perfectly level in the water, the sensors may not provide accurate measurements of the draft or the amount of cargo on board. This can result in incorrect calculations of the ship's stability, which can lead to dangerous situations.
Transducer separation is another potential source of error that can affect the accuracy of a ship's draft readings. Transducers are sensors that are mounted on the hull of a ship to measure the water level and provide information on the ship's draft. If these sensors are not properly calibrated or if they are separated from the hull, they may provide inaccurate readings, which can lead to errors in the ship's stability calculations.
In summary, trim heel and transducer separations can result in inaccurate readings of a ship's draft and cargo load, which can affect the ship's stability and safety. It is important for ship operators to regularly calibrate and maintain their sensors to minimize the risk of errors due to trim heel and transducer separations.
Hope this helps!
Most of the work that engineers do with fluids occurs in nature. True False
Answers
Answer:
It's False
Explanation:
I did the assignment
An electric motor runs at 600 r/min when driving a load requiring a torque of 200 N m. Ifthe motor input is 15 kW, calculate the efficiency of the motor and the heat lost by the motor perminute, assuming its temperature to remain constant
Answers
The efficiency of the motor is 80%.
The heat lost by the motor per minute is 7.5 kW.
Here are the calculations:The output power of the motor is given by:
P_o = τ * ω
where τ is the torque and ω is the angular velocity.
P_o = 200 N m * (2π * 600 r/min) / 60 s/min = 6000 W
The efficiency of the motor is given by:
η = P_o / P_i
where P_i is the input power.
η = 6000 W / 15 kW = 0.8
The heat lost by the motor per minute is given by:
Q = P_i - P_o
Q = 15 kW - 6000 W = 7.5 kW
Read more about heat loss here:
https://brainly.com/question/14702484
#SPJ1
In poor weather you should___ your following distance
Answers
If it is an animal then it is an organism convert it in first order logic
Answers
Answer:
This is not an engineering question.
Explanation:
Do not ________________ a tool. *
-clean up
-force
-stop
-unplug
Answers
differentiate between centrifugal pump and positive displacement pump
Answers
The differentiation between centrifugal pump and positive displacement pump are given below
What is the centrifugal pump?Centrifugal pumps and positive displacement pumps are two common types of pumps used in many industries. The key difference between these two types of pumps is in the way they operate and move fluid.
Centrifugal Pump:
A centrifugal pump is a type of pump that uses centrifugal force to move fluid through the pump. It works by using an impeller that rotates at high speed to create a flow of fluid. The impeller has curved blades that direct the fluid in a radial direction, causing the fluid to move away from the center of the impeller and into the discharge pipe.
Positive Displacement Pump:
A positive displacement pump is a type of pump that uses mechanical force to move fluid through the pump. It works by trapping a fixed amount of fluid in a chamber and then forcing that fluid out of the chamber through a discharge pipe. This is typically achieved using a reciprocating piston, a rotating gear or a flexible diaphragm.
Learn more about centrifugal pump from
https://brainly.com/question/13001922
#SPJ1
what's the answer???
Answers
Answer:
The best chose will happen to be C
I will give Brainliest, please help. :)
Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w = 0.75f.
What does 0.75 tell us in this situation?
Answers
Answer:
The ratio of water to flour needed to make tortillas, which is 3 : 4
Explanation:
100 w = 75 f
w/f = 75/100 = 3/4
What is rainfall intensity
Answers
Answer:
Rainfall intensity is defined as the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period It is expressed in depth units per unit time, usually as mm per hour (mm/h).
Answer:
the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period
solar space heating units tend to be less expensive than solar water heating units because
Answers
Solar space heating units tend to be less expensive than solar water heating units because of the differences in their design and components.
Solar space heating systems typically involve capturing solar energy through solar collectors and transferring it directly to the air inside a building. These systems require simpler equipment such as solar panels, fans, and ductwork to distribute the heated air. The technology and components involved in solar space heating systems are generally less complex and more cost-effective compared to solar water heating systems.
On the other hand, solar water heating systems utilize solar collectors to capture sunlight and heat transfer fluid, which then transfers the heat to water for domestic or commercial use. These systems require additional components such as heat exchangers, storage tanks, pumps, and plumbing to circulate and store the heated water. The added complexity and additional components contribute to higher costs associated with solar water heating units.
Furthermore, the demand and market competition for solar space heating units may be relatively lower compared to solar water heating units, leading to more affordable pricing. Factors such as economies of scale and availability of installation options can also impact the relative cost differences between the two types of solar heating systems.
In summary, the relative cost difference between solar space heating units and solar water heating units can be attributed to the differences in design, complexity, components, market demand, and installation options associated with each system
learn more about "systems ":- https://brainly.com/question/14688347
#SPJ11