Draw a surface development of a truncated cone

By using the binomial probability formula, the probability of at least two 3's is equal to 0.1319.

Since the fair cubical die is thrown four times, the number of times is given by n = 4 and the probability of 3's is P = 1/6.

Mathematically, the binomial probability formula is given by:

[tex]P(X \geq x) =\sum^{n}_{r=x} ^nC_r (p)^r (q)^{(n-r)}\\\\P(X \geq 2) = \; ^4C_2 (\frac{1}{6} )^2 (\frac{5}{6} )^{(4-2)} + ^4C_3 (\frac{1}{6} )^3 (\frac{5}{6} )^{(4-3)} + ^4C_4 (\frac{1}{6} )^4 (\frac{5}{6} )^{(4-4)}\\\\P(X \geq 2) = 6 \times \frac{1}{36} \times \frac{25}{36} + 4 \times \frac{1}{216} \times \frac{5}{36} + 1 \times \frac{1}{1296} \times 1\\\\P(X \geq 2) = \frac{150}{1296} + \frac{20}{1296}+ \frac{1}{1296}[/tex]

P(X ≥ 2) = 19/144

P(X ≥ 2) = 0.1319.

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The modifications of superheating and reheat for a vapor power plant are specifically better for the operation which of the following components b.Boiler.

There are 5 steam strength cycles: The Carnot cycle, the easy Rankine cycle, the Rankine superheat cycle, the Rankine reheat cycle and the regenerative cycle.

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The three previous manufacturing revolutions that Mr. Scalabre mentioned and their year of occurrence are:

This refers to the process of change from a handicraft economy to industry production-based production.

Hence, we can see that Mr. Scalabre believes we are not growing in productivity because there has not been enough automation to perform the tasks needed.

The effect of robotics is making an impact on productivity because a lot of complex, difficult tasks are done by machines.

3D printing has made an impact on productivity because there is a reduction in the pressing cycle and errors due to negligence are reduced.

The role the engineers have to play in the next revolution is that they would have to produce mathematical model that can be used to produce better AIs

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Likely, CPVC. Most recommended.

Energy transfer is factor that affects unit operation this is because each processing of change requires energy transfer.

Unit operations involves reactions that lead to physical change or chemical transformation.

It include separating of mixtures which can be done by filtering, crystallization and polymerization.

Unit operation often results into changes that can be seen or visible changes.

Energy transfer is one the factors that affect unit operation.

Therefore, Energy transfer is factor that affects unit operation this is because each processing of change requires energy transfer.

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The kilograms of BOD5 that are removed in the primary settling tank each day is  447.12 kg.

The BOD5 removed in the primary settling tank each day will be:

= efficiency * influent * average flow rate*24*60*60

The average flow rate is 0.050 m3/s and the BOD5 removal efficiency is 30%,

Influent = 0.345 g/L = 0.000345 kg/L

BOD5 removed in the primary settling tank each day will be:

= 0.3*50*0.000345*24*60*60

= 447.12 kg

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(a) The solution to the system of equation is, x = (d + b)/(ad - cb) and y = (-a - c)/(ad - cb).

(b) The condition at which the solution exists is, ad - cb ≠ 0.

ax + by = 1

cx + dy = -1

D = [a   b]

      [c    d]

D = ad - cb

Dx = [1   b]

       [-1   d]

Dx = d + b

Dy = [a   1]

       [c  - 1]

Dy = -a - c

x = Dx/D

x = (d + b)/(ad - cb)

y = Dy/D

y = (-a - c)/(ad - cb)

Cramer's rule applies to the case where the coefficient determinant is nonzero.

Thus, D ≠ 0 (ad - cb ≠ 0).

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The components of the intrinsic conduction system, beginning at the SA node, are:

They are:

Note that The components of the intrinsic conduction system, beginning at the SA node, are:

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The asymptotes of the open loop transfer are:

The open loop transfer function is given as:

f(s) = 100(s + 1)/((s + 10)(s + 100))

Set the numerator of the function to 0.

So, we have:

f(s) = 0/((s + 10)(s + 100))

Evaluate

f(s) = 0

This means that, the vertical asymptote is y = 0

Set the denominator of the function to 0.

(s + 10)(s + 100)  0

Split

s + 10 = 0 and s + 100 = 0

Solve for s

s = -10 and s = -100

This means that, the horizontal asymptotes are s = -10 and s = -100

See attachment for the graph of the asymptotes

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By mixing hot water with cold water, the tempering valve enables hot water to be kept at a temperature that kills bacteria while distributing it to the fixtures at a temperature that won't burn people. By adjusting the tempering valve's adjuster, the required temperature may be set for the valve. A thermostatic mixing valve can hold water at 1°C +/- and responds more quickly to changes in incoming water temperature than a tempering valve, which is accurate to around 3°C +/-.

This is about the geometrics When you hear “geometry,” mind of shapes, area, and quantity likely come to mind—and this is exactly what geometry is Geometry, similar to algebra, is constructed on a mathematical ruleset.

Geometry comes from  Greek words, “ge” meaning “earth” and “metria” meaning “measuring.” The technique to Geometry evolved with the aid of using the Ancient Greeks has been used for over 2000 years as the idea of geometry. According to NCTM Standards:

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The distance traveled by car A when they pass each other is 1071m

Given:

t=0

constant acceleration= 6 ft/s^2

speed= 80 ft/s^2

[tex]S_A= \frac{at1^2}{2} + V_At\\S_B= V_B (t1 +t)[/tex]

= [tex]2 * (\frac{27}{2})^{2}/2 + 27 * 32.9[/tex]

= 1071m

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The air flow necessary to remain at the lower explosive level is 4515. 04cfm

First we have to find the rate of emission. This is solved as

2pints/1.5 x 1min

= 2/1.5x60

We have the following details

SG = 0.71

LEL = 1.9%

B = 10% = 0.1 a constant

The molecular weight is given as 74.12

Then we would have Q as

403*100*0.2222 / 74.12 * 0.71 * 0.1

= Q = 4515. 04

Hence we can conclude that the air flow necessary to remain at the lower explosive level is 4515. 04cfm

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A diagram showing a use case diagrams for these requirements is given in the image attached.

A use case diagram is known to be a kind of graphical illustration of a users in terms of their various possible association or interactions within any given system.

A use case diagram in banking can be used to prepare, depict and also to know all the functional requirements of the banking system.

Therefore, Give the use case specification for the banking system services and paying a bill online is given in the image attached.

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The controller determines if a(n) error exists by calculating the difference between the SP and the PV.

The Control system is one where it entails if the output is one that has an effect on the input quantity.

So it uses the PV(Process Variable) set against the SP(Setpoint) to know if an error exists.

So, The controller determines if a(n) error exists by calculating the difference between the SP and the PV.

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The amount of radiation that the system is radiating into space is 1.164 x 10¹⁷. See the explanation below.

Rockets or space crafts emit heat as they navigate into space. This heat or emissions is what is referred to as radiation.

Recall that we are given the following:

Thus,

Converting the temperature of the Radiator, we have:

30°C = 273 + 30

= 303K

Area of the Panel of the radiator = 0.3 x 0.1

= 0.03

The formula for the heat emitted by the system is given as:

Q = ∈δA (T₁⁴  - T₁⁴)

Where:

δ = Stefan - Bolta Mann constant

→ δ = 5.67 X 10⁻ⁿ

→ The amount of heat is thus given as:

Q = 0.89 x 5.17 x 10⁸ [ (303)⁴ - (3)⁴] x 0.03

Therefore,

Q = 1.1635158780036 × 10¹⁷

Q ≈ 1.164 x 10¹⁷

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Norton's theorem in regards to  linearity property​ is known to be one that employ the use of a current source while the Thevenin's theorem is known to be one that employ the use of a voltage source.

Thevenin's theorem make use of a resistor in a kind of series, but Norton's theorem is known to use a resister set in a kind of parallel way in line with the source.

Norton's Theorem is known to be a law that states that one can be able to simplify any form of  linear circuit, no matter how difficult or hard that it may be, to an equivalent circuit through the use of only one current source and also the use of a parallel resistance linked to a load.

Note that, Norton's theorem in regards to  linearity property​ is known to be one that employ the use of a current source while the Thevenin's theorem is known to be one that employ the use of a voltage source.

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The number of receptacles that are needed for all of these kitchen areas are: C. Four.

Receptacles can be defined as types of sockets or series of outlets (openings) that provides a path where current can be taken in a wiring system, so as to run electrical appliances in buildings.

Based on the information provided, the number of receptacles that are needed for all of these kitchen areas are four because one would be used in each area.

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Answer:

  shorted

Explanation:

A diode is a device that passes current much better in one direction than in the reverse direction.

Conceptually, an ohmmeter applies a voltage to the device under test and reports the current through the device on a scale calibrated in ohms. It typically has a low enough open-circuit voltage, and a high enough internal resistance so as to avoid damage to parts under test.

A "continuity" tester may have an open-circuit voltage of a few tens of millivolts and/or a short-circuit current of a few microamps, so as to properly detect continuity and avoid contact damage in "dry" circuits. Such a tester is virtually useless for diode testing.

An ohmmeter suitable for diode testing will generally have an open-circuit voltage of a few volts, and a short-circuit current of a few milliamps. When such a meter is used to test a diode, it will indicate a few kilohms (or less) in the "forward" direction, and several 10s or 100s of megohms in the reverse direction.

If the "forward" resistance reading is unusually low (a few ohms), the diode may be damaged. If both forward and reverse readings are unusually low, the diode my be considered to be shorted.

The skin surface temperature is 307.2 K and the  rate of heat loss is 146 W.

The skin surface temperature may be obtained by performing an energy balance at the skin surface to give the formula;

k(T_i - T_s)/L = h(T_s - T_∞) + h_r(T⁴_s - T⁴_surr)

Now, T_surround = T_s and so making T_s the subject gives us;

T_s = [(k*T_i)/L + (h + h_r)T_∞]/((k/l)

Using the equation h_r = εσ(T_s + T_surr)(T²_s + T²_surr) we can find h_r with a guessed value of T_s = 305 K and T∞ = 297 K, to yield h_r = 5.9 W/m².K.

Then, substituting numerical values into the T_s equation, we have;

T_s = [(0.3 * 308)/(3 * 10⁻³) + (2 + 5.9)297]/[((0.3 * 308)/(3 * 10⁻³)) + (2 + 5.9)]

T_s = 307.2 K

Thus the skin temperature is 307.2 K.

The rate of heat loss can be found by evaluating the conduction through the skin/fat layer:

q_s = kA(T_i - T_s)/L

q_s = 0.3*1.8(308 - 307.2)/(3 * 10⁻³)

q_s = 146 W

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kay flock accidents going crazy

Answer: B

Explanation:

trust yo, it's "be affordable"

The project is going to scope if the situation happens. Option A is correct.

Project managers are in charge of organizing, planning, and guiding the execution of certain projects for an organization .

As the project manager, you grant a team member's request to rearrange their work in a way they believe will increase productivity.

However, this modification interferes with another team member's workflow since they now have to complete two more activities that are unrelated to the project's objective. The project will be within its scope.

Hence option A is correct.

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Electronic returnless fuel systems use an  in-line fuel supply pump.

Electronic returnless EFI systems is known to bean “On Demand” returnless EFI systems due to the fact that it make use of fuel tank pressure sensor to examine fuel pressure.

Therefore, one can say that an Electronic returnless fuel systems use an  in-line fuel supply pump.

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it is undesirable that all of the points should fall extremely near, or exactly on, the centerline of the control chart Because:

If a data point falls is said to outside the control limits, we can say that the process is said to be out of one's control and it is good that an investigation is done to ascertain and remove the cause or causes.

So, it is undesirable that all of the points should fall extremely near, or exactly on, the centerline of the control chart Because:

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Fire wall is a home that has its own roof, foundation, and a wall that extends from the roof through the foundation.

This is known to be a form of rated assembly that ranges from the foundation to and via the roof of a building to lower the rate of fire spread.

Note that, Fire wall is a home that has its own roof, foundation, and a wall that extends from the roof through the foundation.

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Think show, tell, talk strategy this is a best practice for ensuring children have repeated exposure to a world in different context is a true statement.

The Think, Show, Tell, Talk strategy is known to be the act or method that is said to be an easy-to-use method for making a lot of opportunities available for children within the classroom as it helps in vocabulary and language growth.

Therefore, with the statement above one can say that Think show, tell, talk strategy this is a best practice for ensuring children have repeated exposure to a world in different context is a true statement.

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The graph of the function y = (sin x)/(x * 2-1) is given in the attached image.

Recall that a graph is a visual representation of data or depiction of the mathematical relationships between various factors in a mathematical function.

A function in math is a rule, or theorem defining a connection between one variable (the independent variable) and another (the dependent variable).

It is to be noted that functions are common in mathematics and are required for the formulation of physical connections in the sciences.

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Diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.

A cascading operation can be defined as a process which involves the use of a circuit breaker's current-limiting capacity in order to enable an installation of lower-rated and lower-cost circuit breakers.

According to the National Electrical Code (NEC), diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.

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Answer:

the function of the regulator in a power supply:-

A voltage regulator is a component of the power supply unit that ensures a steady constant voltage supply through all operational conditions. It regulates voltage during power fluctuations and variations in loads. It can regulate AC as well as DC voltages.

Explanation:

(❁´◡`❁)

Answer:-
The power of regulators to grant significant benefits to, or impose restrictions or penalties on, members of the public – and the extra profits to be gained from avoiding regulations – increases the risks of corruption. Regulators also have a role in collecting and protecting government revenue.

Waves in the electric and magnetic fields are known as electromagnetic waves. You must first understand what a field is, which is just a technique of giving each square inch of space a numerical value. You may see that as a temperature field, for instance, when you look at the weather predictions and they mention the temperature in several locations. Every location on Earth has a unique temperature that can be quantified. Everywhere on Earth has its own wind velocity, which is another form of field. This field differs somewhat from the temperature field in that the wind velocity has both a direction and a magnitude, whereas the temperature just has a magnitude (how hot it is). A vector is a quantity that has both magnitude and direction, hence a field that contains vectors at every location is referred to as a vector field. Vector fields include the magnetic and electric fields. We may examine what would happen if we placed a charged particle at any given position in space. If the charged particle were to accelerate, we would state that the electric field there is the direction in which the particle is moving. In general, positively charged particles will move in the electric field's direction, whereas negatively charged particles will move in the opposite way. Because it is a vector field, the magnetic field exhibits comparable behavior. We discovered in the 19th century that the same interaction, electromagnetism, really produces both electric and magnetic fields. Like an electromagnet, a changing electric field will produce a magnetic field, and a changing magnetic field will induce an electric field (like in a generator). If your system is configured properly, you may have an electric field that fluctuates, which in turn produces a magnetic field, which in turn induces another electric field, which in turn generates another magnetic field, and so on indefinitely. At the speed of light, this oscillation between a strong magnetic field and strong electric field spreads out indefinitely. In reality, light is an electromagnetic wave—an oscillation in the electromagnetic fields. An electric or magnetic field may exist without a medium since they exist in a vacuum, which implies that waves in these fields don't require a medium like sound to flow through.