Write a single MATLAB function that accepts as inputs the words "butter", "notch", "resonant", "lead", and "lag" and produces Bode plots of the corresponding filter. In some cases you will have to provide a parameter that is the order of the filter or the location of the notch, etc. See the course notes for definitions of the filters as transfer functions.
Answers
With some knowledge of transfer functions and the built-in functions in MATLAB, you can write a single function that produces Bode plots for the given filters. The function should include default parameters and error handling to make it user-friendly.
To write a MATLAB function that produces Bode plots for the given filters, you can start by defining the transfer functions of each filter using the course notes. Then, using the built-in functions in MATLAB, you can plot the Bode plots for each filter by passing the transfer function as an input. Depending on the filter, you may need to provide additional parameters such as the order of the filter or the location of the notch.
To keep the function simple and easy to use, you can define default values for the parameters and allow the user to override them if necessary. You can also include error handling to ensure that the inputs are valid.
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Related Questions
How is the law of conservation of matter best represented in a chemical reaction
Answers
Answer:
Umm.... because the spit that comes up of your mouth when you talk mixes with the air
Explanation:
Consider a unity feedback system with: G(s) = (K(s+1))/(s^2 + 4s + 5) a). Find the angle of departure of the root locus from the complex poles. b). Find the break-in point for the root locus as it enters the real axis.
Answers
A) Angle of departure The angle of departure of a root locus from a complex pole pair is given by: \($$\theta = 180^\circ - \phi_p - \phi_z$$\)$$\theta = 180^\circ - \phi_p - \phi_z$$
where θ is the angle of departure, φp is the phase angle at the pole, and φz is the phase angle at the zero. From the transfer function given, we can find the complex poles as follows:
$$(s+2)^2 + 1^2 = 0$$$$\
implies s = -2 \pm j$$At these poles, the phase angle is given by:
\($${\rm \phi_p} = tan^{-1}\left(\frac{-Im}{Re}\right) = tan^{-1}\left(\frac{-1}{-2}\right) = 26.6^\circ$$\)
The angle of departure is therefore:
\($$\theta = 180^\circ - 26.6^\circ - 0^\circ = 153.4^\circ$$B)\)
Break-in pointThe break-in point is the point where the root locus enters the real axis. It occurs when the real axis is a part of the locus and lies between two real poles or real zeros.
For a second-order system, the break-in point occurs when the angle of departure and the angle of arrival to the real axis are equal.In this case, we can see that there are no real zeros or real poles, so the locus cannot enter the real axis.
Therefore, there is no break-in point for this system.
\($$G(s) = \frac{K(s+1)}{s^2 + 4s + 5}$$a)\)The angle of departure of the root locus from the complex poles is \($$153.4^{\circ}$$b)\) The root locus does not enter the real axis, so there is no break-in point.
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what is most delicious fod in the philippines?
Answers
Answer:
Well there are a lot of delicious food in the philppines but my most favorite is the Lechon, Adobo, Sisig, Chicken Curry, Crispy pata and Sinigang
help
A 1D signal of up to 20,000 samples is considered.
Using data structures specific to simple chained lists, determine the number of zero passes of the signal. The signal goes through 0 if it changes its sign from one sample to another. 0 is not considered a sign change.
The use of STL is prohibited. Any data structure in the STL or function in the STL used will lead to a 0-point solution.
The use of vectors is prohibited. Any static (T V [N]) or dynamic (T * V = new T [N]) vector structure used will lead to the 0 score of the solution.
Input data:
N number of samples signal samples
Output data:
the number of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
1 -5 -> sign change (third zero crossing)
-5 4 -> sign change (fourth zero crossing)
Answers
Answer:
er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
Explanation:
er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)er of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
cse/eee 120 capstone design project home security gate controller project summary the goal of this project is to design a gate controller for a home security system. the project is now in the prototype stage, where a simplified version of the home security system will be built. the system operates in the following manner:
Answers
We created a program that alternates between the localization, steering, and navigation modules. The navigation module implements a routing algorithm and selects the global route.
What is program?A program is described as a set of instructions that a computer executes to do a certain activity. Study programs are made to fit your specific learning needs and get you ready for more education, training, or work.
Navigation modules are defined as the interactions that let users move between, inside of, and outside of the various pieces of content in your app. Extra parts are frequently included in the modules to make the sensor easier to use.
Thus, we created a program that alternates between the localization, steering, and navigation modules. The navigation module implements a routing algorithm and selects the global route.
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A(n) _____ is done to test each individual component (often a program) to ensure that it is as defect-free as possible.
Answers
Answer:
Unit test
Explanation:
Defintion: A test of each individual component (often a program) to ensure that it is as defect-free as possible.
Compression in a scroll compressor is achieved by the interaction of an orbiting ______ and a stationary ______.
Answers
Answer:
Compression in a scroll compressor is achieved by the interaction of an orbiting scroll and a stationary scroll.
Explanation:
How does changing the number of loops/coils affect the voltage induced? Try to be quantitative about this.
Answers
When we change the number of loops/coils, it affects the voltage induced quantitatively. The quantitative relationship between the number of loops and the voltage induced can be expressed as the following equation.
Voltage induced = (NΔΦ) / t
where N is the number of loops/coils, ΔΦ is the change in magnetic flux, and t is the time taken for the change in magnetic flux to occur. According to Faraday's Law of Electromagnetic Induction, the magnitude of the induced voltage is directly proportional to the rate of change of magnetic flux. It follows that if we increase the number of loops/coils, we will also increase the magnetic flux and therefore the induced voltage will also increase. This relationship can also be understood using the formula for the magnetic flux through a coil of wire: Φ = BAN where Φ is the magnetic flux, B is the magnetic field strength, A is the area of the coil, and N is the number of loops.
Therefore, by increasing the number of loops, we increase the magnetic flux, which in turn increases the voltage induced.
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Consider the formation of p-nitrophenol from p-nitrophenyl trimethyl acetate. The process is known as enzymatic hydrolysis and it occurs in the presence of the enzyme elastase. Along with the formation of p-nitrophenol, trimethyl acetic acid is also formed which is an undesired byproduct. p-nitrophenol is an important intermediate in the manufacture of several pharmaceuticals. Your role as a Chemical Engineer is to maximize the production of p-nitrophenol. The reactions can be denoted as:
E+S → P+ES R1
ES+PE+A R2
where e denotes the enzyme elastase, denotes the substrate p-nitrophenyl trimethyl acetate, es denotes enzyme-substrate intermediate and A denotes the trimethyl acetic acid. The rate of the reactions 1 and 2 are given by:
kg Cs KM + C r2 = kxCp
where Cs and Cp denote the concentrations of the substrate and the product, k, and ky are the rate constants given by 0.015 s' and 0.0026 s. Ky is the Michaelis - Menten constant and is given by 5.53 mol/m!. All the reactants and products are in the liquid phase. The initial concentrations of S and E are 0.5 mol/m3 and 0.001 mol/m..Consider the above reaction to occur in a batch reactor for 15 minutes.
a. Plot the concentration profiles of S, P and A as a function of time in a single figure.
b. Plot the selectivity of P with respect to 5 as a function of time b.
Answers
Solution :
cs=zeros(9001);
ca=zeros(9001);
cp=zeros(9001);
psi=zeros(9001);
t=[0:0.1:900];
cs(1)=0.5;
ce(1)=0.001;
cp(1)=0;
ca(1)=0;
psi(1)=0;
for i=1:1:9000
cs(i+1)=cs(i)-0.1*((0.015*cs(i))/(5.53+cs(i)));
cp(i+1)=cp(i)+0.1*((0.015*cs(i))/(5.53+cs(i))-0.0026*cp(i));
ca(i+1)=ca(i)+0.1*0.0026*cp(i);
psi(i+1)=((cp(i+1)-cp(i)))/((cs(i)-cs(i+1)));
end
plot(t,cs,t,cp,t,ca);
plot(t,psi);
A shaft is made from a tube, the ratio of the inside diameter to the outside diameter is 0.6. The material must not experience a shear stress greater than 500KPa. The shaft must transmit 1.5MW of mechanical power at 1500 revolution per minute.calculate the inside and outside diameter.
Answers
Answer: The inside diameter is approximately 0.39 meters and the outside diameter is approximately 0.65 meters.
Explanation:
The first step is to calculate the torque required to transmit 1.5 MW of power at 1500 rpm. The formula for torque is:
T = (P × 60) / (2 × π × N)
where T is torque, P is power, N is speed in revolutions per minute, and π is the mathematical constant pi. Substituting the given values, we get:
T = (1.5 × 10^6 × 60) / (2 × π × 1500) = 238.7 kNm
Next, we can use the formula for shear stress:
τ = (T × r) / J
where τ is shear stress, T is torque, r is the radius, and J is the polar moment of inertia. For a tube, J is equal to (π/2) × (D^4 - d^4), where D is the outside diameter and d is the inside diameter.
Since the ratio of inside diameter to outside diameter is 0.6, we can set d = 0.6D. Substituting this into the formula for J and simplifying, we get:
J = (π/2) × D^4 × (1 - 0.6^4) = 0.374πD^4
Substituting the given values for torque and shear stress, we get:
500 kPa = (238.7 kNm × r) / (0.374πD^4)
Solving for r/D, we get:
r/D = 0.054
Since r + d = D, we can substitute d = 0.6D and r = 0.054D into this equation and solve for D:
D = 0.65 meters (approx.)
Finally, we can calculate the inside diameter by using the given ratio:
d/D = 0.6
d = 0.39 meters (approx.)
Therefore, the inside diameter is approximately 0.39 meters and the outside diameter is approximately 0.65 meters.
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explain why pigtails used to connect receptacles to branch-circuit wiring need not be counted when determining the correct outlet box size.
Answers
Pigtails are short lengths of conductors used to connect receptacles to branch-circuit wiring. When determining the correct outlet box size, pigtails do not need to be counted because they do not contribute to the overall conductor fill within the box.
Outlet box size calculations primarily consider the volume occupied by wire connections, wire nuts, and device yokes, which determine the space needed for safe and efficient electrical installations.
The National Electrical Code (NEC) sets specific guidelines for box fill calculations, which ensure adequate space for proper heat dissipation, prevent overheating, and reduce the risk of electrical fires. Pigtails are not included in these calculations because they are an extension of the main circuit conductors and do not add to the box's capacity.
Moreover, pigtails help maintain a tidy wiring arrangement inside the box, simplifying troubleshooting and maintenance. By excluding pigtails from box fill calculations, electricians can adhere to NEC standards while optimizing space within the outlet box and maintaining electrical safety.
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why is it difficult to dissolve cellulose in solvent that dissolve petroleum based polymers
Answers
The crystallinity of cellulose as well as its polar qualities makes it less difficult to dissolve. It has a three-dimensional hydrogen bond (H-bond) arrangement with the hydroxyl group connected to each polymer chain. On the other hand, Hydrocarbon polymers are nonpolar, and nonpolar solvents are used to dissolve them.
What exactly is cellulose?Cellulose is an organic molecule with the formula n that is a polysaccharide made up of a linear chain of hundreds to thousands of β linked D-glucose units. Cellulose is a structural component of the major cell wall of green plants, many algae, and oomycetes.
Cellulose is the principal component present in plant cell walls and aids in the plant's stiffness and strength. Although cellulose cannot be digested by humans, it is an essential source of fiber in the diet. Cellulose is utilized in the production of clothing and paper.
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Type MC cable provides an effective ground-fault current path and is recognized by the NEC as an equipment grounding conductor when _____.
Answers
In accordance with 250.118(1), A MC cable includes an insulated or uninsulated equipment grounding conductor.
When does MC cable is recognized by the NEC as an equipment grounding conductor?
Type MC cable that provides an efficient ground-fault current path in compliance with one or more of the following is :
1. In accordance with 250.118(1).2. The interlocked metal tape-type MC cable's combined metallic sheath and uninsulated equipment grounding/bonding conductor that is listed and identified as an equipment.3. The smooth or corrugated tube-type MC cable's metallic sheath, or the combined metallic sheath and equipment grounding conductors, that is listed and identified as an equipment grounding conductor.To know more about MC cable, visit: https://brainly.com/question/14934410
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A doctor is deciding how to treat a given disease. the doctor will precribe one medication, one dietary change, and one type of vitamin supplement. there are five medications, five dietary changes, and five types of vitamins the doctor might prescribe. how many combina-tions are possible?
Answers
The total combinations are possible is 125 combinations.
We need to know about math combinations to solve this problem. The combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed. It can be written as
nCr = n! / (r!(n-r)!)
where n is object and r is a sample
From the question above, we know that
1 vitamin supplement chosen has combination
5C1 = 5! / 1!(5-1)! = 5 combination
1 meditation chosen has combination
5C1 = 5! / 1!(5-1)! = 5 combination
and 1 dietary chosen has combination
5C1 = 5! / 1!(5-1)! = 5 combination
Hence, the total combination is
C = Cvitamin x Cmeditation x Cdietery
C = 5 x 5 x 5
C = 125 combinations
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Help please help please
Answers
The specific gravity of each of the tabularized items are given as attached.
What is the explanation for the above response?To determine the specific gravity, we need to compare the density of each material to the density of water (which is 62.4 lb/ft^3). The specific gravity is defined as the ratio of the density of the material to the density of water.
Therefore, the specific gravity of Gold is 19.36, the specific gravity of Platinum is 21.47, the specific gravity of Silver is 10.48, the specific gravity of Sand is 1.52, the specific gravity of Freshly fallen snow is 0.50, the specific gravity of Tar is 1.19, the specific gravity of Hard Rubber is 1.00, and the specific gravity of Water is 1.00.
Note that Specific gravity is the ratio of the density of a substance to the density of a reference substance, typically water at a specified temperature and pressure. It is a dimensionless quantity that helps determine the buoyancy of a substance.
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You installed a new 40 gallon water heater with a 54,000 BTUh burner. The underground water temperature coming into the house is 55F
How long will it take to heat the water in the tank to a normal setting of 120F.
Please show setup and explanation.
Answers
Answer:
For most uses you'll want your water heated to 120 F(49 C) In this example you'd need a demand water heater that produces a temperature rise and it will take about 2 hours
PLEASE HELP ASAP!!! Thanks
Answers
Does anyone know this
Answers
technician a states that only a lab scope will show if a modern engine is timed correctly. technician b states that a lab scope is best used in conjunction with scan data and codes for viewing timing faults.
Answers
Only technician B is correct when she claims that some lab scopes may simultaneously display two waveforms.
By giving you both time and voltage data on a display screen, a lab scope solves the problems of a fast changing signal. An image of voltage levels, voltage changes, and the frequency (speed) of these changes can be seen on a lab scope. Since some lab scopes can display two waveforms simultaneously, technician B is correct when she says that this is a feature of some lab scopes. Technician A is mistaken when she claims that a lab scope shows a sensor's resistance as it varies over time. In order to detect electronic glitches that happen faster than can be recorded with merely a digital meter, a lab scope (also known as an oscilloscope) is a device, it shows measurements of time as well as the voltage values of an electric circuit.
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A pointer is spun on a fair wheel of chance having its periphery labeled Trom 0 to 100. (a) Whhat is the sample space for this experiment? (b)What is the probability that the pointer will stop between 20 and 35? (c) What is the probability that the wheel will stop on 58?
Answers
Answer:
A pointer is spun on a fair wheel of chance having its periphery labeled Trom 0 to 100. (a) Whhat is the sample space for this experiment? (b)What is the probability that the pointer will stop between 20 and 35? (c) What is the probability that the wheel will stop on 58?
Explanation:
thats all you said
Answer:
hii my name is RAGHAV what is your name
Explanation:
this question is which chapter
A gas cylinder is connected to a manometer that contains water. The other end of the manometer is open to the atmosphere, which in Flagstaff is 79 kPa absolute. Draw a sketch of the problem and determine the absolute static pressure in the gas cylinder if the manometer is reading 13 in H2O. Assume the water in the manometer is at 20 °C
Answers
Answer: the absolute static pressure in the gas cylinder is 82.23596 kPa
Explanation:
Given that;
patm = 79 kPa, h = 13 in of H₂O,
A sketch of the problem is uploaded along this answer.
Now
pA = patm + 13 in of H₂O ( h × density × g )
pA= 79 + (13 × 0.0254 × 9.8 × 1000/1000)
pA = 82.23596 kPa
the absolute static pressure in the gas cylinder is 82.23596 kPa
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
Answers
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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I need a word problem for y=2x
Answers
The word problem for y = 2x is as follows.
"If y is the number of cakes produced by using 2 amounts of backing ingredients (x), find the number of cakes produced if x is 25."
What is a word problem?A word problem is a mathematical exercise in scientific education in which substantial background information about the subject is conveyed in regular English rather than mathematical notation.
A word problem in mathematics is a math question expressed as one or more sentences that demand students to apply their arithmetic skills to a real-life setting.
This implies that in order to understand the word problem, students must be conversant with the terminology linked with the mathematical symbols to which they are used.
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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.
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Nate needs to replace the cable to his lamp. He is stripping it to connect it to the termils. What should he remember to do with the knife
Answers
Answer: i got you its d
Explanation:had the smae question as you
Where are you likely to find a cooling coil located in the ductwork?
OA. A medium-sized office
OB. A large apartment building
C. A single-family home
D. A large factory
Answers
The component of an air conditioner or heat pump that collects heat from the indoor air is called the evaporator coil.
Where is the a coil located?The evaporator coil is specifically located in the air handler of your air conditioner or, if you have a combined heating and air conditioning system, inside the furnace. Air is cooled and transferred to the evaporator coils of HVAC systems by refrigerant that has evaporated inside the coils.
The component of a heat pump or air conditioner that collects heat from the indoor air is called an evaporator coil. Either the furnace is connected to it or it is housed inside the air handler.
On the air intake side of the fan coil or the furnace's outlet side, respectively, is where the evaporator coil—also known as the cooling coil—is positioned within the house. Its role is to chill interior air so the blower fan can provide cool, refreshing air back into the space.
Therefore, the correct answer is option c) A single-family home.
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The steel-frame structural support was a main feature in the development of __________. Group of answer choices
Answers
The steel-frame structural support was a main feature in the development of t the floors, roof, walls and skyscraper.
What structure is aided by a metal frame?Steel frame is known to be a form of a building method that is used along with a skeleton frame that is made up of steel columns and I-beams.
Conclusively, This is often used in the construction of grid to aid the floors, roof and walls of any kind of building. It is also used in the construction of skyscraper.
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how many pairs of wires get switched when making a gigabit ethernet crossover cable
Answers
Answer:ALL FOUR PAIRS
Explanation: first major difference is the gigabit standards require the use of all four pairs (all eight wires), unlike Fast Ethernet which only utilizes two pairs of wires. As a result, in Gigabit Ethernet, all four pairs must be crossed when building a Crossover cable
When making a Gigabit Ethernet crossover cable, two pairs of wires get switched. Ethernet cables are used to connect computer networks that enable communication between different devices. The two most popular types of Ethernet cables are crossover and straight cables.
Ethernet cables use four pairs of wires to transmit data, out of which two pairs are utilized for transmitting and two pairs are used for receiving. In a straight-through Ethernet cable, the wire arrangement is identical at both ends. For this reason, a straight-through cable is employed to connect devices that belong to the same category. In contrast, a crossover Ethernet cable is employed to connect devices belonging to different categories. A crossover cable reverses the transmitting and receiving pairs, allowing the devices to communicate with one another. In a Gigabit Ethernet crossover cable, two pairs of wires are swapped or switched. These pairs are Pins 1-2 (White and Orange) and Pins 3-6 (White and Green). Therefore, we can conclude that two pairs of wires get switched when making a Gigabit Ethernet crossover cable.
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2) Calculate the following speed parameters using the given tabulated data below Car No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Speed mi/hr. 45 30 35 40 45 35 35 40 35 30 45 30 45 | 40 | 35 a) Find Mean speed. b) Find Standard deviation and interpret the result c) Final Median and Mode with the meaning of the obtained d) 85th percentile speed
Answers
The Mean speed is 39 mph, Standard deviation = 6.12 mph and the median speed is 40 mph.
How to calculate the valueMean speed = (45 + 30 + 35 + 40 + 45 + 35 + 35 + 40 + 35 + 30 + 45 + 30 + 45 + 40 + 35) / 15
Mean speed = 39 mph
Standard deviation = ✓((45-39)² (30-39)² + (35-39)² + (40-39)² + (45-39)² + (35-39)² + (35-39)² + (40-39)² + (35-39)² + (30-39)² + (45-39)² + (30-39)² + (45-39)² + (40-39)² + (35-39)²) / 15]
Standard deviation = 6.12 mph
The standard deviation of 6.12 mph indicates that the speeds of the cars vary quite a bit from the mean speed of 39 mph. About 68% of the speeds are expected to be within one standard deviation of the mean.
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15) What is NORA and how does it work?
Short Answer:
Answers
NORA stands for Non-Obvious Relationship Awareness, which is a technology that analyzes vast amounts of data to identify hidden or non-obvious relationships between individuals and entities.
The goal of NORA is to provide a more complete and accurate view of relationships between people, organizations, and other entities, which can help detect and prevent fraud, terrorism, money laundering, and other criminal activities.
It uses advanced algorithms and machine learning techniques to identify patterns and connections between individuals and entities that may not be immediately apparent.
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