For signal b, the fundamental period is 2π, and the fundamental angular frequency is 1.
To compute the fundamental periods and fundamental angular frequencies of the given signals, we'll use the formulas:
For a signal of the form x(t) = A * cos(ωt + φ):
Fundamental period T = 2π / |ω|
Fundamental angular frequency ω = 2π / T
Let's calculate them for each signal:
a. x(t) = 4 cos(0.56πn + 0.7)
The signal is discrete, given by the equation x[n] = 4 cos(0.56πn + 0.7), where n represents the discrete time index.
To find the fundamental period, we need to determine the smallest positive integer value of n for which the cosine function completes one full period. In this case, the period is 2π / (0.56π) = 10.
The fundamental angular frequency is ω = 2π / T = 2π / 10 = 0.2π.
Therefore, for signal a, the fundamental period is 10 and the fundamental angular frequency is 0.2π.
b. x(t) = 5 cos(√2-1)
The signal is continuous, given by the equation x(t) = 5 cos(√2-1).
Since the cosine function has a period of 2π, the fundamental period is 2π.
The fundamental angular frequency is ω = 2π / T = 2π / (2π) = 1.
Therefore, for signal b, the fundamental period is 2π, and the fundamental angular frequency is 1.
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ln a circuit a voltage of 15 volts is used to dereve a current of 5amps what is the resistance of the conductor
Answer:
Resistance = 3 Ω
Explanation:
As we know that, By Ohm's Law
V = IR
where
V is the voltage in volt
I is the current in amps
R is the resistance in ohm
Now,
Given that,
V = 15 volts
I = 5 amps
So,
R = V/I
= 15/5
= 3 Ω
⇒R = 3 Ω
what is the major release number in the ios image name c1900-universalk9-mz.spa.152-3.t.bin?
The major release number in the ios image name c1900-universalk9-mz.spa.152-3.t.bin is 152. The letter "t" indicates the type of image, and "bin" is the file extension.
In the ios image name c1900-universalk9-mz.spa.152-3.t.bin, the numbers following "spa" indicate the software version number. The first three numbers after "spa" represent the major release number, which is 152 in this case. The following number, 3, represents the maintenance release number.
In the image name, the release number is represented by the numbers immediately before the hyphen. In this case, it is "152". The major release number is the first digit, which is "15".
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In a movie theater in winter, 510 people, each generation sensible heat at a rate of 80 W, are watching a movie. The heat losses through the walls, windows, and the roof are estimated to be 130,000 Btu/h. Determine the contribution of people to the heating of the building. The average rate of heat generation from people in a movie theater in sensible form is 80 W per person.
Answer:
\(139213.68\ \text{Btu/h}\)
Explanation:
Number of people = 510
Heat generated per person with respect to time = 80 W
\(1\ \text{W}=3.4121\ \text{Btu/h}\)
Heat generated by 510 people is
\(\dot{Q}=510\times 80\times 3.4121\)
\(\Rightarrow \dot{Q}=139213.68\ \text{Btu/h}\)
The contribution of people to the heating of the building is \(139213.68\ \text{Btu/h}\)
Select the correct answer.
What is the output of P.P( theres three lines over the second P) ?
A. P.P
B. P
C. P.P(one line over the second P)
D. P.P(one line over both ps)
Which of the following are python reserved words (keywords)?
The Python reserved keywords are "continue" and "break" among the options given. So, the correct answers are ''continue'' and ''break''.
In Python, reserved words or keywords are words that have special meanings and are used to define the syntax and structure of the language. These words cannot be used as identifiers or variable names.
Among the options given, "continue" and "break" are Python reserved keywords."continue" is used in loops to skip the remaining statements in the current iteration and move to the next iteration."break" is used in loops to terminate the loop prematurely and exit the loop.On the other hand, "iterate" and "else" are not Python reserved keywords. "Iterate" is a common term used to describe the process of looping or iterating over a sequence of elements, but it is not a specific keyword in Python."Else" is a keyword in Python, but it is used in control flow statements such as "if-else" and "try-except," rather than being a standalone reserved keyword.
Therefore, the correct answer is:
A) Not a keywordB) Keyword (continue)C) Not a keywordD) Keyword (break)For more question on Python
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Which of the following are python reserved words (keywords)?
A) iterateB) continueC) eseD) breakDetermine the capitalized cost of a permanent roadside historical marker that has a first cost of $90,000 and a maintenance cost of $3,100 once every 5 years. Use an interest rate of 10% per year.
The capitalized cost is:
The capitalized cost of the permanent roadside historical marker is $116,386.30.
Capitalized cost
The capitalized cost is an assessment of the cost of the investment. Capitalized cost is a useful metric in cost accounting, particularly in the case of business assets. In the case of permanent roadside historical markers, we need to calculate the capitalized cost given the first cost and maintenance cost of $90,000 and $3,100 respectively that is done every 5 years.
Assuming the interest rate of 10% per year. We can use the following formula to calculate the capitalized cost.
C = P * (i / (1 - (1 + i)^(-n)))
Where,
C = Capitalized cost
P = First cost
i = Interest rate per year
n = Total number of years
To calculate the capitalized cost of the permanent roadside historical marker, we need to calculate the present value of the investment. We are given that the first cost of the historical marker is $90,000 and the maintenance cost of $3,100 is incurred once every 5 years at an interest rate of 10% per year.
The total number of years n = 20 years (4 maintenance cycles of 5 years each).
Therefore, using the formula, we have,
C = $90,000 + $3,100 * (PVIFA10%,20)
$3,100 * (PVIFA10%,20) = 8.513 (calculated using Excel or tables)
C = $90,000 + $3,100 * 8.513
C = $90,000 + $26,386.30 = $116,386.30.
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Para conseguir jugo de naranja concentrada, se parte de un extracto con 7% en peso de sólidos el cual se mete a un evaporador al vacío. En el evaporador se elimina el agua necesaria para que el jugo salga con una concentración del 60% de peso de sólidos. Si se introducen al proceso 1000 kg/h de jugo diluido, calcule la cantidad de agua evaporada y de jugo concentrado saliente.
Answer:
Se obtendrán 116.66 litros de jugo concentrado, y el agua evaporada será por un total de 883.33 litros.
Explanation:
Dado que para conseguir jugo de naranja concentrada, se parte de un extracto con 7% en peso de sólidos el cual se mete a un evaporador al vacío, y en el evaporador se elimina el agua necesaria para que el jugo salga con una concentración del 60% de peso de sólidos, si se introducen al proceso 1000 kg/h de jugo diluido, para calcular la cantidad de agua evaporada y de jugo concentrado saliente se debe realizar el siguiente cálculo;
1000 x 0.07 = 70
60 = 70
100 = X
100 x 70 / 60 = X
7000 / 60 = X
116.66 = X
Por lo tanto, se obtendrán 116.66 litros de jugo concentrado, y el agua evaporada será por un total de 883.33 litros.
Anyone got a pc that can run 240 fps? Around like 1,300 dollars that can run 240 fps on fortnite whoever answers and gives me a good pc I will give brainliest
Answer:
What do u need it for just gaming or for streaming and other things
A 75-hp, 850 r/min, 500-V series motor has an efficiency of 90.2 percent
when operating at rated conditions. The series field has 30 turns/pole, and
the motor parameters are:
Armature
0.1414 ohms
IP + CW
0.0412 ohms
Series
0.0189 ohms
Resistance,
The motor has a maximum safe speed of 1700 r/min. Is it safe to operate the
motor with a 10-hp shaft load? Use the magnetization curve in Figure
11.16, and show all work. Neglect changes in windage and friction
It is not safe to operate the motor with a 10-hp shaft load.
Explanation :
Solution-
First, determine the rated speed and current of the motor:
Rated speed = 850 r/min
Rated current = 500 V / (0.1414 ohms + 0.0412 ohms + 0.0189 ohms) = 30.22 A
Next, determine the speed and current for a 10-hp shaft load:
Speed = 1700 r/min
Current = 10 hp / (75 hp * 0.902) = 0.1343 A
Finally, determine whether it is safe to operate the motor with the 10-hp shaft load using the magnetization curve. we can see that the current at 1700 r/min is 0.1264 A, which is less than the current for the 10-hp shaft load (0.1343 A).
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In low speed subsonic wind tunnels, the value of test section velocity can be controlled by adjusting the pressure difference between the inlet and test-section for a fixed ratio of inlet-to-test section cross-sectional area.
a. True
b. false
Answer:
Hence the given statement is false.
Explanation:
For low-speed subsonic wind tunnels, the air density remains nearly constant decreasing the cross-section area cause the flow to extend velocity, and reduce pressure. Similarly increasing the world cause to decrease and therefore the pressure to extend.
The speed within the test section is decided by the planning of the tunnel.
Thus by adjusting the pressure difference won't change the worth of test section velocity.
Answer:
The given statement is false .
9. The highest voltage typically encountered on the job by a residential electrician is
volts.
A. 120
B. 600
C. 240
D. 480
Answer:
240
Explanation:
The highest voltage typically encountered on the job by a residential electrician is C. 240 volts.
What is voltage?Voltage is the measure of the difference in electrical power between two points in a circuit.
It is like the force that pushes electric charges in a circuit and is measured in volts (V) and affects how strong the electric current flows in a wire.
In many countries, the United States included, residential electrical systems often use a split-phase setup with a voltage of 120/240 volts.
This voltage is widely used for things like household appliances, lights, and other electrical needs in homes.
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Derive the expression ε=ln(1+e), where ε is the true strain and e is the engineering strain. Note that this expression is not valid after the onset of necking
The formula for true strain after derivation from basic terms is; ε_t = In(1 + ε_e)
How to derive the expression for True Strain?Formula for Engineering Stress is;
σ_e = Load/Area
Formula for true stress is;
σ_t = Force/Instantaneous Area
Formula for Engineering Strain is;
ε_e = ΔL/L₀
Formula for true strain is;
dε_t = dL/L
Total true strain is gotten from;
ε_t = ∫(dL/L) between boundaries of L_f and L_o
When we integrate between those boundaries, we have;
ε_t = In[(L₀ + ΔL)/L₀
⇒ ε_t = In[(1+ ΔL/L₀)
⇒ ε_t = In(1 + ε_e)
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Write SQL Queries for following set of tables: EMPLOYEE (EmpNo, Name, DoB, Address, Gender, Salary, DNumber) DEPARTMENT (DNumber, Dname, ManagerEmpNo, MnagerStartDate). Display the Age of ‘male’ employees. Display all employees in Department named ‘Marketing’. Display the name of highest salary paid ‘female’ employee. Which employee is oldest manger in company? v) Display the name of department of the employee ‘SMITH’
The SQL queries for the given set of tables: EMPLOYEE (EmpNo, Name, DoB, Address, Gender, Salary, DNumber) DEPARTMENT (DNumber, Dname, ManagerEmpNo, MnagerStartDate) is given below.
What is the SQL Queries?The code that display the age of 'male' employees is given below:
sql
SELECT Name, TIMESTAMPDIFF(YEAR, DoB, CURDATE()) AS Age
FROM EMPLOYEE
WHERE Gender = 'male';
The code that display all employees in the Department named 'Marketing':
sql
SELECT *
FROM EMPLOYEE
WHERE DNumber IN (SELECT DNumber FROM DEPARTMENT WHERE Dname = 'Marketing');
The code that display the name of the highest salary paid 'female' employee:
sql
SELECT Name
FROM EMPLOYEE
WHERE Gender = 'female'
ORDER BY Salary DESC
LIMIT 1;
Therefore, This code shows the age of male workers and workers in the ‘Marketing’ team, and the name of the woman who earns the most, using special statements.
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A 1500-ft long horizontal and non-fractured well with 6-in. radius is completed in a 55-acre drainage area. The formation net pay is 75 ft thick with the net to gross ratio of 0.9 and has a porosity of 6.5%. The formation permeability values are 2 md and 15 md in vertical and horizontal directions, respectively with the relative permeability to oil of 0.82. The oil has a viscosity of 0.55 cp and the formation volume factor is 1.22 bbl/STB. Earlier test conducted at this well resulted in the calculation of a skin value of 0.8. The correction factor for wellbore friction is 1.0.
Determine the Productivity Index (PI) for this well
The productivity index (PI) for this well is 6.9 STB/day/psi.
The Productivity Index (PI) for this well is approximately 6.9 STB/day/psi.What is Productivity Index (PI)?Productivity index (PI) is a performance metric used to assess the capacity of an oil or gas well to produce hydrocarbons. It is a measure of the well's productivity that relates to the pressure drop across the wellbore's reservoir section and the flow rate of fluids (oil, gas, or water) from the reservoir into the wellbore.When the PI value is high, it means the well is very productive. When the PI is low, it means that the well is not very productive.The formula for the Productivity Index (PI) is as follows:PI = (2πkhd)/(μln(r_e/r_w) + s)Where:k = average permeability, mdh = net reservoir thickness, ftμ = fluid viscosity, cpd = drainage area, acr = wellbore radius, fts = skin factorPI Calculation:Given data,Net pay thickness (h) = 75 ftNet to gross ratio = 0.9Porosity (φ) = 6.5%Average permeability, k = 2 md and 15 md in the vertical and horizontal directions, respectivelyRelative permeability (kro) = 0.82Oil viscosity (μ) = 0.55 cpFormation volume factor (Bo) = 1.22 bbl/STBWellbore radius (rw) = 6 in. or 0.5 ftDrainage area (Ad) = 55 acres = (55 × 43560) ft² = 2395800 ft²Well length (L) = 1500 ftSkin value (s) = 0.8Correction factor for wellbore friction = 1.0The first step is to calculate the effective drainage radius (re) using the formula,re = (0.00708 × (φ^2) × (kh/μ))^(1/2)× (kro/Bo) × ln(r_e/r_w)Let's plug in the values of given parameters,re = (0.00708 × (0.065^2) × ((2+15)/2/μ))^(1/2) × 0.82/1.22 × ln(r_e/r_w)re = (0.04226/μ)^(1/2) × ln(r_e/r_w)We know, k = 2 md and 15 md in vertical and horizontal directions. So we use the harmonic average permeability.1/kh = 1/2 + 1/15kh = 2.14 mdUsing μ = 0.55 cp, the effective drainage radius is calculated as,re = 174.86 ftUsing the formula of PI,PI = (2πkh)/[μln(re/rw) + s]PI = (2 × 3.1416 × 2.14 × 1500)/(0.55 × ln(174.86/0.5) + 0.8)PI = 6.9 STB/day/psi.
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A series circuit contains four resistors. In the circuit, R1 is 80 , R2 is 60 , R3 is 90 , and R4 is 100 . What is the total resistance? A. 330 B. 250 C. 460 D. 70.3
Tempo company's fixed budget (based on sales of 14,000 units) folllows. fixed budget sales (14,000 units * $202 per unit) 2,828,000 costs direct materials 336,000direct labor 588,000indirect materials 392,000supervisor salary 136,000sales commissions 98,000 shipping 210,000administrative salaries 186,000depreciation-office equipment 156,000 insurance 126,000office rent 136,000income 464,000 1. compute total variable cost per unit. 2. compute total fixed costs. 3. prepare a flexible budget at activity levels of 12,000 units and 16,000 units.
The total variable cost per unit is $170, and the total fixed costs are $1,464,000.
Total variable cost per unit:
Direct materials = 336,000/14,000 units = $24 per unit
Direct labor = 588,000/14,000 units = $42 per unit
Indirect materials = 392,000/14,000 units = $28 per unit
Sales commissions = 98,000/14,000 units = $7 per unit
Shipping = 210,000/14,000 units = $15 per unit
Total variable cost per unit = $24 + $42 + $28 + $7 + $15 = $116
Total fixed costs = $2,828,000 - ($24 x 14,000) - ($42 x 14,000) - ($28 x 14,000) - ($7 x 14,000) - ($15 x 14,000) = $1,464,000
Flexible budget at activity levels of 12,000 units and 16,000 units:
12,000 units: Total variable cost = 12,000 units x $116 = $1,392,000
Total fixed cost = 1,464,000
Total budget = $2,856,000
16,000 units: Total variable cost = 16,000 units x $116 = $1,856,000
Total fixed cost = 1,464,000
Total budget = $3,320,000
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How to update android 4.4.2 to 5.1
Answer:
try settings and go to updates?
Explanation:
Design a Finite State Moore Machine (FSM) that will take an arbitrary-sized integer as input, one bit at a time (starting from most significant bit), and return the remainder after this integer is divided by 5. This is also called as MOD 5 function. For example if the input number is 34, then its binary representation will be 100010 and 34 MOD 5 will return 4 as an output.
Answer:
attached below
Explanation:
Applying the state transition Formula
state - next = ( state *2 + in ) % 5
how this works : remainder of previous cycle is doubled to enable the calculation of the new remainder.
Input of current cycle is represented as either 1 or 0
since the dividing number = 5 . possible remainders = 1,2,3,4,0
each remainder is represented as :
S0 = zero remainder , S1 = 1 remainder , S2 = 2 remainder, S3 = 3 remainder,
S4 = 4 remainder
which type of furnace can operate to produce either full heat output or produce at a fixed level that is less than full heat?
A two-stage furnace can run at a predetermined output level that is either less than full heat or at maximum heat output.
What kinds of furnaces have AFUE ratings over 90% and are considered high efficiency?Condensing furnaces are those that run with an AFUE of greater than 90%. This indicates that the furnace turns escaping water vapour back into energy and heat by condensing them. The furnace is therefore more effective than a noncondensing furnace.
What two factors affect the efficiency of a furnace and a boiler?The ability of a burner to burn fuel is indicated by the boiler's combustion efficiency. The amount of unburned fuel in the exhaust and the amount of extra oxygen in the exhaust are the two factors that influence the burner efficiency.
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Each bolt diameter in the standard system can have one of two thread pitches, _________ or unf.
Each bolt diameter in the standard system can have one of two thread pitches, coarse or unf.
What is thread pitches?The term used to describe the distinction between two threads is thread pitch. TPI is swapped out for thread pitch when talking about metric fasteners. Millimeters are used to measure the distance as well.
Use a caliper to measure the distance between the peaks of each thread in order to determine the thread pitch.
M2 x 0.4 x 5M
In terms of millimeters, the M2 designates the bolt's diameter.
There are when the number 4 is used to represent the thread pitch in millimeters.
5M denotes the length of the bolt in millimeters and 4M denotes the distance between each thread peak.
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A turbine in a simple ideal Rankine cycle with water as the working fluid operates with an inlet temperature of 500°C and pressure of 600 kPa and an exit temperature of 45°С. Find the turbine work in MW if the mass flow rate of the steam is at 11 kg/s.
Answer:
the turbine work in MW is \(\mathbf{W_t = 10.47299 \ kW}\)
Explanation:
Given that:
the inlet temperature = 500°C
pressure = 600 kPa
exit temperature = 45°С
mass flow rate = 11 kg/s
The objective is to find the turbine work in MW given that the mass flow rate of the steam is at 11 kg/s.
From the steam tables, the data obtained for the enthalpies at the inlet temperature of 500°C and a pressure of 600 kPa is:
\(\mathtt{h_1 : 3482.7 \ kJ/kg}\)
The turbine expansion process is also the isentropic process, as such:
Inlet entropy \(\mathbf{s_1}\) = Exit entropy \(\mathbf{s_2}\)
The data obtained from the steam table for \(\mathbf{s_1}\) = 8.003 kJ/kg.K
\(s_2 = s_{f2}+ x_2 *s_{fg2}\)
The data obtained from the steam tables for this entities are as follows:
\(\mathsf{s_{f2} = 0.638 \ kJ/Kg/K }\)
\(\mathtt{s_{fg2}=7.528 \ kJ/kg/K}\)
since \(\mathbf{s_1}\) = \(\mathbf{s_2}\) = 8.003 kJ/kg.K
Therefore;
\(8.003 = 0.638 + x_2 * 7.528\)
\(8.003 -0.638 = 7.528x_2\)
\(7.365= 7.528x_2\)
\(x_ 2= \dfrac{ 7.365}{7.528}\)
\(x_2 = 0.978\)
From the steam tables, the data obtained for the enthalpies at the exit temperature of 45°C and a pressure of 600 kPa is:
\(h_{f2}\) = 188.4
\(h_{fg2\) =2394.9
Thus;
\(h_ 2= 188.4 +0.978*2394.9\)
\(h_ 2=2530.61\) kJ/kg
The workdone for the turbine process can be computed as:
\(\mathsf{W_t = m(h1-h_2)}\)
\(\mathsf{W_t = 11(3482.7-2530.61)}\)
\(\mathsf{W_t = 11(952.09)}\)
\(\mathsf{W_t = 10472.99}\) kW
To MW, we have
\(\mathbf{W_t = 10.47299 \ kW}\)
Question 47 Marks: 1 General overall policy planning includes all of the following exceptChoose one answer. a. aspirations and realistic objectives b. detailed engineering and specific architectural project plans c. identification of goals d. establishment of functional priorities
b. detailed engineering and specific architectural project plans
General overall policy planning involves setting aspirations and realistic objectives, identifying goals, and establishing functional priorities. It is a high-level strategic process that provides direction and guidance for an organization or government. However, detailed engineering and specific architectural project plans are more related to implementation and operational activities, rather than strategic planning. These plans are typically developed after the general policy planning has been completed and provide more specific guidance on how to achieve the identified goals and objectives. Therefore, b. is the correct answer as it does not fit within the scope of general overall policy planning.
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The power by the dominant group over minority groups takes place through institutions, including mass media and popular culture, that communicate the ruling values and beliefs that are sometimes taken up by members of the minority group is called…
a.hegemony
b.discrimination
c.racism
d.oppression
The power exerted by the dominant group over minority groups through institutions, such as mass media and popular culture, in order to communicate and reinforce ruling values and beliefs that may be adopted by members of the minority group is referred to as hegemony.
The term "hegemony" best describes the concept described in the question. Hegemony refers to the social, cultural, and ideological influence wielded by the dominant group over subordinate groups within a society. It involves the imposition of dominant norms, values, and beliefs that shape the worldview and behavior of both the dominant and subordinate groups.
In this context, institutions like mass media and popular culture play a significant role in disseminating and reinforcing the ideologies and narratives of the dominant group. By controlling the representation, portrayal, and dissemination of information, the dominant group can shape public opinion and maintain their position of power and control.
However, it is important to note that while hegemony influences the beliefs and behaviors of some members of the minority group, it does not encompass all forms of discrimination, racism, or oppression. These terms represent specific manifestations of power imbalances and discriminatory practices, which can be reinforced by hegemonic systems but are not limited to them.
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Give me source code of Simple openGL project. ( without 3D or Animation) simple just.
Answer:
Use GitHub or stackoverflow for this answer
Explanation:
It helps with programming a lot
A block of ma M1 reting on an inclined plane i connected by a tring and pulley to another
block of ma M2 a hown in Fig. Find the tenion in the tring and acceleration of the block. Aume the coefficient of friction between the block M1 and the plane to be 0. 2. M1 =1500N, M2 =
1000N. Angle of inclined plane = 450
To find the tension in the string and the acceleration of the block, we can use the equations of motion for the system.
Assuming the mass of the block M1 is 1500N and the mass of the block M2 is 1000N, the equation of motion for the system is given by:
T - μMgcos(θ) = M1a + M2a
Where T is the tension in the string, μ is the coefficient of friction between the block M1 and the inclined plane, Mg is the weight of the blocks, θ is the angle of the inclined plane, and a is the acceleration of the blocks.
Substituting the given values, we get:
T - 0.2(1500 + 1000)9.81cos(45°) = 1500a + 1000a
Simplifying, we get:
T = 6715N - 3000a
Solving for a, we get:
a = (6715 - T)/3000
Therefore, the acceleration of the block is given by (6715 - T)/3000, where T is the tension in the string.
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When an electric current flows through a wire with resistance, energy is a. liberated as x-rays b. liberated as heat c. liberated as light
When an electric current flows through a wire with resistance, energy is liberated as heat.
Thus, when a current flows through the resistor, the electrical energy is converted into heat energy. Hence the heat that is generated in the components of the circuit possesses some resistance and is dissipated into the air around the components.
Resistance in a wire causes a hindrance to the flow of electrons, which results in the conversion of electrical energy into thermal energy. This thermal energy is then dissipated into the surrounding environment, which can be felt as heat.
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20. A spur gear pinion and gear shown on a drawing have a diametral pitch of 12. The pitch radius of the pinion is 1.500 inches and the gear ratio is
specified to be 1:3. On the print, you would expect the pitch diameter of the gear to be
OA. 9.00 inches.
On the print you would expect the pitch diameter of the gear to be 9.00 inches. Option A is right.
How to solve for the diameterGear ratio = 1/3
This is solved as number of teeth on pinion / teeth on gear
= Np/Ng
The pitch diameter = 1.5 x 2
= 3
Diametral pitch = 12
NP = 3 x 12 = 36
This is the teeth on piston
Ng = 3NP
Ng = 3 * 36
= 108
Hence pitch diameter = 108/12 = 9
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It is supposed that a machine, used for filling plastic bottles with a net volume of 16.0 oz, on average, does not perform according to specifications. An engineer will collect 15 measurements and will reset the machine if there is evidence that the mean fill volume is different from 16 oz. The resulting data from a random sample yield \overline{x}=16.0367x=16.0367 and s=0.0551. Should the engineer reset the machine with a level of significance 5%? Find also the pp-value.
Answer:
Explanation:
The null hypothesis is that the mean fill volume is 16 oz, and the alternative hypothesis is that the mean fill volume is different from 16 oz. The level of significance is 5%, and the sample size is 15. The test statistic is t=0.0367t=0.0367. The p-value is 0.9738.
Since the p-value is greater than the level of significance, we fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that the mean fill volume is different from 16 oz. The engineer should not reset the machine.
```
The test statistic is calculated as follows:
t = (x - μ) / s / sqrt(n)
= (16.0367 - 16) / 0.0551 / sqrt(15)
= 0.0367
The p-value is calculated using the t-distribution with 14 degrees of freedom.
p-value = 2 * t.cdf(-0.0367, 14)
= 0.9738
```
5. Refrigeration refers to space temperatures that are below
What the correct answer?
Explanation:
The term refrigeration means cooling a space, substance or system to lower and/or maintain its temperature below the ambient one (while the removed heat is rejected at a higher temperature). In other words, refrigeration is artificial (human-made) cooling.
Refrigeration, is the act of removing undesirable heat from one thing, substance, or space and transferring it to another object, substance, or space.
What is refrigeration?Refrigeration refers to the process of chilling an area, material, or system in order to decrease and or keep its temperature below that of the surrounding environment.
Refrigeration, sometimes known as chilling, is the act of removing undesired heat from one item, substance, or area and transferring it to another.
The temperature can be lowered by using ice, snow, cooled water, or mechanical refrigeration to remove heat.
Hence,refrigeration, is the act of removing undesirable heat.
To learn more about the refrigeration, refer:
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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.
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.