Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.
What is the standard normal curve?The horizontal axis is approached by the standard normal bend as it extends indefinitely both in directions without ever being touched by it. The center of the bell-shaped, z=0 standard normal curve. Between z=3 and z=3, almost the entire area underneath the standard normal curve is located.
Use of the standard normal curve:Use the normal distribution's standard form to calculate probability. Since the standard normal distribution is indeed a probability distribution, the probability that a variable will take on a range of values is indicated by area of the curve between two points. 100% or 1 is the total area beneath the curve.
According to the given data:the region to the left of the standard normal curve,
z=0.49
To the right of,
z = 2.05
So,
The area will be:
= P[z < 0.49] + P[ z >2.05]
= P[z < 0.49] + 1 - P[ z < 2.05]
= .6879 + 1 - .9798
= 0.7081
Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.
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I understand that the question you are looking for is:
Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.
A 0.5kg baseball experiences a 10n force for a duration of 0.1s. what is the change in?
The change in velocity is 2m/s
Given ,
mass of baseball m = 0.5kg
force on baseball F = 10 N
Duration .i.e. time t = 0.1s
To find here change in velocity =?
Solution,
The impulse(J) of an object is equal to,
J = F× T
Where J is the impulse of the baseball and F is force on baseball at time t.
The impulse is equal to the change in momentum of the baseball and its unit is (N.s) Newton -second. it is a vector quantity therefore the dimension is [LMT⁻¹]. Then the impulse j is given as ,
J = m(v-u)
Here J is impulse ,m is mass, (v-u) is change in velocity .From equating the both impulse equations then can be write as,
m(v-u) = F× t
(v -u) =( F × t)/m
(v -u) = (10N× 0.1 s)/0.5k
(v -u) = 2m/s
Hence the change in velocity (v -u) of baseball is 2m/s.
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A pitcher throws a baseball at 43.4 m/s. when the baseball hits the catcher's mitt, it comes to rest over a distance of 0.1 meters. the average acceleration of the baseball was___m/s^2?
The average acceleration of the baseball is 9417.8 m/s².
To find the average acceleration, the given values are,
Initial velocity = 0
Final velocity = 43.4 m/s
Distance = 0.1 meters.
What is Acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.A point or an object moving in a straight line is accelerated if it speeds up or slows down.Acceleration is a vector quantity but it has both magnitude and direction.Acceleration formula can be written as,
Acceleration, a = (v - u ) / t m/s²
where, a - acceleration
v - Final velocity
u - Initial velocity
T - Time
Acceleration can be found by,
v² = v₀² + 2a ( x - x₀)
Rearranging the equation,
43.4² = 0 + 2a ( 0.1 m)
1883.56 = 0.2 a
a = 1883.56 / 0.2
a = 9417.8 m/s².
The acceleration of the baseball is 9417.8 m/s².
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The position of an object that is oscillating on a spring is given by the equation x = (17.4 cm) cos[(5.46 s-1)t]. what is the angular frequency for this motion?
the angular frequency of this motion is 5.46rad /sec
The formula for the angular frequency is = 2π/T. Radians per second are used to express angular frequency. The frequency, f = 1/T, is the period's inverse. The motion's frequency, f = 1/T = ω/2π, determines how many complete oscillations occur in a given amount of time so in this case the It is measured in units of Hertz, (1 Hz = 1/s).
herex
=
(17.4cm)cos[(5.46s− 1)t]
is written in the general form
where we can identify: A=17.4cm and ω
=5.46rad /sec
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Was fired for ________ after it was determined he had been inflating his production reports each quarter.
Was fired for Workplace cheating after it was determined he had been inflating his production reports each quarter.
What are production reports?The document that is filled out each day during the production of a movie or television show to recap what happened that day is known in the film industry as a "production report" (abbreviated "PR"). Each show often uses a unique template for a production report, which is frequently made before production even starts by one of the assistant directors. There is no standard format for a production report ("AD"). Apart from minor variations, most forms include the same data and are basically a collection of blank Excel tables that are printed double-sided on a legal-sized (8 x 14 inch) piece of paper. This form is used to keep track of a production's progress and costs as well as to calculate the cast and crew's respective salaries.
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During the time that a planet is in its period of apparent retrograde motion, _________.
Answer:
The center of the retrograde motion occurs at the planet's opposition which is when it is exactly opposite the Sun.
Explanation:
If an automobile gets 24.5 miles to the gallon and the cost of gasoline is $2.75 a gallon, how much will it cost to drive 975 km?
It will cost $68 to travel 975 kilometers for an automobile if the cost of gasoline is $2.75 per gallon.
This simple calculation can be explained as below calculation of the cost of driving such a distance is done by conversion of the distance into miles and multiplying such distance by $2.75.
Cost of DrivingFirst calculate the kilometers to miles.
975 kilometers is converted as 605.837 miles. Now the division of mileage of automobile will be calculated as,
Gasoline required = Distance travelled/ mileage
=605.837/24.5
=24.72 gallons of gasoline required.
Now we have to calculate the cost of gasoline.
Gasoline cost= gallons x cost per gallon
= 24.72 x 2.75
=$68
So, it is calculated that the cost of gasoline/ cost of driving is $68.0.
Hence, it would cost $68 to travel 975 kilometers for an automobile when the cost of gasoline is $2.75 per gallon.
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With light microscopy, if the objective lens (lens closest to the specimen) magnifies 40-fold, and the eyepiece lens magnifies 10-fold, the final magnification will be:_________
The final magnification will be 400-fold or 400 times the original size of the object.
For magnifying smaller objects, a compound microscope is used.
A compound microscope consists of an objective and an eyepiece, whose diagram is shown in the adjoining image.
The lens near the object is called an objective and the other one is the eyepiece.
Let the magnification of the objective be m1
Let the magnification of the eyepiece be m2
The final magnification by the microscope, M, will be
M = m1 x m2
Putting the values in the above equation
M = 40 x 10
M= 400
Thus, the final magnification will be 400-fold or 400 times the original size of the object.
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A 2 meter tall vertical stack of firewood casts a 4 meter shadow on horizontal ground. what is the angle of the sun in the horizon?
The angle of the sun in the horizon would be [tex]\theta[/tex] = 26.56°
CalculationHeight of stack of firewood = 2 m
Height of the shadow of firewood = 4m
Then according to trigonometric identities,
tan[tex]\theta\\[/tex] = 2/4
[tex]\theta[/tex] = [tex]tan^{-1}[/tex](1\2)
[tex]\theta[/tex] = 26.56°
What is trigonometry?
The area of mathematics concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle is called as Trigonometry. This field of study was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
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Find an equation of the sphere with center s23, 2, 5d and radius 4. what is the intersection of this sphere with the yz-plane? stewart, james. calculus (page 837). cengage learning. kindle edition.
As a result, the provided sphere's intersection with the yz-plane would be (y-2)²+(z-5)²=7.
What do you mean by intersection?When two streets or lines cross, it is known as an intersection. The two places where crossings are most likely to occur are in math class and in traffic. An intersection in mathematics is the place where two lines converge. This is the common theme among the lines.
Briefing:Equation (x+3)²+(y-2)²+(z-5)²=16
Intersection (y-2)²+(z-5)²=7
We are asked to write an equation of the sphere with center (-3,2,5) and radius 4.
We know that equation of a sphere with radius 'r' and center (h,k,l) at is in form:
(x-h)²+(y-k)²+(z-l)²=r²
Since center of the given sphere is at point (-3,2,5) , so we will substitute h=-3,k=2 ,l=5 and r=4 in above equation as:
(x-(-3))²+(y-2)²+(z-5)²=4²
(x+3)²+(y-2)²+(z-5)²=16
Therefore, our required equation would be (x+3)²+(y-2)²+(z-5)²=16
To find the intersection of our sphere with the yz-plane, we will substitute x=0 in our equation as
(0+3)²+(y-2)²+(z-5)²=16
9+(y-2)²+(z-5)²=16
9-9+(y-2)²+(z-5)²=16-9
(y-2)²+(z-5)²=7
As a result, the provided sphere's intersection with the yz-plane would be:
(y-2)²+(z-5)²=7.
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In a large perfectly quiet room, at what maximum distance could you hear a bee with a power output of 1 nw ? recall that the threshold of hearing is 10−12w/m2
Using threshold intensity, the maximum distance the sound could hear a bee is 8.92 m.
We need to know about intensity to solve this problem. Intensity can be determined as the ratio of power to the area. The magnitude of intensity can be calculated by
I = P / (4πr²)
where I is intensity, P is power and r is distance.
From the question above, we know that
P = 1 nW = 10¯⁹ W
I = 10¯¹² W/m²
By substituting the given parameters, we get
I = P / (4πr²)
10¯¹² = 10¯⁹ / (4πr²)
r² = 79.55
r = √79.55
r = 8.92 m
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The heat death of the universe is a theoretical time in the future when the universe is supposed to?
The heat death of the universe is a theoretical time in the future when the universe is supposed to use up the entire supply of entropy.
What is the heat death of the universe entropy?According to the theory of the heat death of the universe, which is also known as the Big Chill or Big Freeze, the cosmos will eventually reach a condition where there is no thermodynamic free energy and won't be able to support processes that increase entropy. As entropy rises, matter and energy continue to dissipate until our universe is infinitely chaotic, at which point events come to a halt since entropy can no longer rise. This is referred to as the universe's heat death. Some claim that nothing happens since things can't get any worse.Learn more about the heat death with the help of the given link:
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Almotorcycle has a maximum acceleration of 3 m/s2 in either direction and a maximum
speed of 25 m/s. How long does it take for the motoreycle to reach someone who is 1 km away?
Answer:
44.2 seconds
Explanation:
to accelerate to 25 m/s will take 25/3 = 8.33 sec
and cover d = 1/2 a t^2 = 104.1 m
this leaves 1000 - 104.1 = 895.92 meters to cover at 25 m/s
= 35.84 seconds added to the original 8.33 second required to get up to ax speed = 44.2 seconds
if tou were to become a scientist what will be your contribution to the society? why?
How many protons, neutrons, and electrons are there, respectively, in an atom of o-17?.
In an atom of O-17, proton and electron is 8, and neutrons is 9.
The atomic number, sometimes referred to as nuclear charge number, of a chemical element is the charge number of an atomic nucleus. For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.The atomic number of oxygen is 8. Therefore, an atom needs 8 protons in order to be referred to as an oxygen atom. For instance, an atom will no longer be oxygen if it has 9 protons and will now be fluorine. Any atom that lacks 8 protons is not an oxygen atom. For an atom to be neutrally charged, the number of protons and electrons within it must match. Therefore, there should be 8 electrons in all. However, depending on the isotope, the neutron count can change. An oxygen isotope is a distinct variety of oxygen. For instance, oxygen-15, which has 7 neutrons, is a possibility. The neutron count for oxygen-16 would be 8, for oxygen-17 it would be 9, and so on.Learn more about the quantum mechanics with the help of the given link:
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If your bathroom scale assesses your weight to be 98, 211, and 167 pounds on successive measurements in the same day, the scale would suffer from low _____ reliability.
The scale that would suffer from low Test-Retest reliability when the bathroom scale assesses on measurements in the same day.
How is reliability determined ?Producing a large number of evaluation-focused questions and randomly dividing them into two sets of questions is the most popular method for gauging the dependability of parallel forms. You determine the correlation between the findings after the same respondents respond to both sets of questions.
A measure's reliability is its constancy. Internal consistency, consistency among things, and consistency across different researchers are the three types of consistency that psychologists take into account (inter-rater reliability).
Because it affects the worth of a psychological test or study, reliability is crucial. Its dependability assures value to the psychology field and other fields where it has importance, such as business or education, if test findings are consistent when researchers undertake a study.
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A car covers a distance of 200m. If its velocity is 20 m/s², calculate the time taken.
11 short response to the following questions "Physics has made our lives comfortable." Justify this statement
Physics has made our lives comfortable because without physics there would be no modern life.
In the modern days before the invention of physics, the life was not as comfortable as today's world. Some basic examples, include controlling the living conditions. In colder days, you can warm yourself using a heater and in hotter days you can cool yourself using an air conditioner.
Physics along with other branches of science led the invention of all the equipment, gadgets, electric devices etc. These inventions makes life easier and comfortable.
Therefore, Physics has made our lives comfortable.
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What two principal factors affect the force of air resistance on a falling object?.
The two principal factors that affect the force of air resistance on a falling object are speed and cross-sectional area of the object.
When an object falls through the air, it mostly encounters some sort of resistance to its speed and this resistance is known as air resistance.
This resistance is present because of the collisions of the air molecules with the frontal surface molecules of the object.
As the speed is increased of the object so that increased amount of air resistance. speed of the object is directly proportional to the air resistance.
The cross-section of solid is defined as the shape obtained by the intersection of solid by a plane .
The rate of change of distance with respect to time is known as speed.
S = (dx/dt)
Where, dx is the distance and dt is change in time .
So that, more the speed, more the air resistance and so in the case with the cross-sectional area.
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What is the statement domain for p1? express as line numbers. exclude syntactical markers, such as {, }, else, and end.
The statement domain for p1 will constitute for all those line sequences which can possibly be executed depending upon the inputted value of A. It can be stated as follows:
{ (1,2,3), (1,2,3,5,8,16,17), (1,2,3,5,6,13,16,17)}
In addition to the examination of the total study population, the DOMAIN statement also asks analysis of domains (subpopulations).
The variables that distinguish domains are known as domain variables and are named by the DOMAIN statement.
Both character and numeric domain variables are acceptable. Domain variables are treated as categorical variables by the technique.
Each level of a variable determines a domain in the research population if it appears in a DOMAIN statement by itself.
A domain is determined by every possible combination of levels of variables when two or more variables are connected by an asterisk (*). Within each of the domains that are established by the domain variables, the process does a descriptive analysis.
The levels of the categorical variables are based on the formatted values of the domain variables.
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An urn contains 17 red marbles, 20 blue marbles, and 41 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 0.2179 or 21.79%.
We need to know about probability to solve this problem. The probability can be described as how possible an event will happen. It can be determined by
P = a / n
where P is the probability, a is the number of events and n is the total events.
From the question above, we know that:
red marbles = 17
blue marbles = 20
yellow marbles = 41
Hence, the total marble is
n = red + blue + yellow
n = 17 + 20 + 41
n = 78
The probability of choosing red marble is
P = a / n
P = 17 / 78
P = 0.2179
Convert to percent
P = 0.2179 x 100%
P = 21.79%
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Driving at a speed so fast that a driver cannot stop within the distance he/she can see with the use of headlights is called:________
Driving at a speed so fast that a driver cannot stop within the distance he/she can see with the use of headlights is called ___Overdriving headlights____
What is Overdriving headlights ?When a driver's sight is compromised by fog or darkness yet they continue to drive at a pace that prevents them from being able to stop in time to avoid objects in the road, it is sometimes referred to as "overdriving your headlights."
The best option when driving in rain, snow, or fog is to use your low beam headlights. Your high beams will just reflect back off the fog when it's foggy, making it even harder to see in front of you. Ideal conditions, such a clear day on dry roads, are where speed limits are posted.Using your headlights too much means. You cannot halt in the glow of your headlights in the distance. Drivers should proceed with caution if an approaching car's lights blind them. Examine the right.Learn more about Overdriving headlight here:
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If you subtract vector 3.7 cm at 45° North of East from vector 4.5 cm at 57° West of North using a scale drawing, what is the resultant vector?
The resultant vector is 5.2 cm at a direction of 12⁰ west of north.
Resultant of the two vectors
The resultant of the two vectors is calculated as follows;
R = a² + b² - 2ab cos(θ)
where;
θ is the angle between the two vectors = 45° + (90 - 57) = 78⁰a is the first vectorb is the second vectorR² = (3.7)² + (4.5)² - (2 x 3.7 x 4.5) cos(78)
R² = 27.02
R = 5.2 cm
Direction of the vectorθ = 90 - 78⁰
θ = 12⁰
Thus, the resultant vector is 5.2 cm at a direction of 12⁰ west of north.
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The velocity of a ball is 1 m/s at a given instant of time. is it possible for the acceleration of the ball to be -1 at this instant
Yes, The velocity of a ball is 1 m/s at a given instant of time. it is possible for the acceleration of the ball to be -1 at this instant.
Why can the acceleration be in negative?If it is made sure that the other values are plugged in correctly, a positive velocity is capable of making a negative acceleration.
Does negative acceleration indicate a speed reduction?A moving item always experiences positive acceleration. An object that is slowing down always experiences negative acceleration. However it does not mean that negative acceleration always mean reduction in speed.
Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system. Negative acceleration might or might not be deceleration, and vice versa for negative acceleration.
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At a particular instant a proton exerts an electric force of <5.1e-13, 5.6e-13, 0> n on an electron. how far apart are the proton and the electron?
Electrical forces can be divided into two categories: attractive electrical forces and repellent electrical forces. Similar charges repel one another whereas opposite charges attract one another.
What is meant by electric force?The electric force attracts the nucleus and electrons to one another. The emptiness that a positive or negative charge leaves behind is known as an electric field because a field is produced there.
Electrical forces can be categorized into two groups: those that attract and those that repel. While opposite charges attract one another, similar charges repel one another.
Electrical forces are produced when two charges come into contact with one another. The electric force exerted on a single charge when there are three or more charges present is just the culmination of the results of each charge's interactions with the other charges.
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The intensity of sunlight at the Earth's distance from the Sun is 1370 W/m². Assume the Earth absorbs all the sunlight incident upon it. (b) Explain how this force compares with the Sun's gravitational attraction
Comparing these two values, Fgav is much greater than Fr.
First, calculate the force produced by the radiation pressure:
The radiation pressure produces a force equal to,
Fr=pr(πRe2)
=(I/c) ( πRe2)
Given that
I= Intensity of sun = 1370 W/m²
c = speed of light = 2.998×108m/s
Re = Radius of the earth= 6.37×106m
Ms= mass of sun = 2.0×1030kg
Me= mass of earth = 5.98×1024kg
des2 = distance of earth and sun apart =1.5×1011m
Substituting the given values according to the question
Fr= π (1.37 × 103 kW/m2) (6.37×106m)2/2.998×108m/s
=6.0×108N
(b) The gravitational pull of the Sun on the Earth is,
Fgav= GMsMe/ des2
putting values according to question
Fgav= (6.67×10−11 N⋅m2/kg2) (2.0×1030kg) (5.98×1024kg) / (1.5×1011m)2
=3.6×1022N.
Comparing these two values, it is obvious that Fgav is much greater than Fr.
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Given only a mass number, one can deduce the number of ________ in each atom of an element.
Given only a mass number, one can deduce the number of protons plus neutrons in each atom of an element and is denoted as option A.
What is Mass number?This is also referred to as the nucleon number which is the total number of protons and neutrons in the atom of an element.
Protons are referred to as the positively charged subatomic particles which are present in a atom while the neutrons are subatomic particles which are neutral and the both of them make up the nucleus of an atom.
This is therefore the reason why proton plus neutron was chosen as the most appropriate choice.
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The options are:
a) protons plus neutrons
b) neutrons
c) protons
d) electrons
e) protons plus electrons
Chebyshev's theorem states that the proportion of values is at least 1-1/k2. what is the meaning of k?
k is the number of standard deviations greater than one that that proportion of observations will be discovered within.
What does Standard Deviation mean?A standard deviation measures the spread of data in relation to the mean.
A low standard deviation suggests that the data is concentrated around the mean, whereas a high standard deviation shows that the data is spread.
A standard deviation near 0 suggests that data points are close to the mean, whereas a high or low standard deviation indicates that data points are above or below the mean, respectively.
The curve on top of Image 7 is more spread out and hence has a higher standard deviation, whereas the curve below is more grouped around the mean and thus has a smaller standard deviation.
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A light-rail commuter train accelerates at a rate of 1.35 m/s2. how long (in s) does it take to reach its top speed of 80.0 km/h, starting from rest?
It takes 16.5 seconds to reach its top speed of 80.0 km/h, starting from rest.
What is Kinematics?A branch of physics called kinematics, which was evolved from classical mechanics, defines how points, bodies, and systems of bodies (groups of objects) move without taking into account the forces that propel them. The discipline of kinematics is sometimes thought of as a subfield of mathematics and is frequently referred to as the "geometry of motion." Any known values of the location, velocity, and/or acceleration of points inside the system are declared as initial conditions for a kinematics issue, together with the geometry of the system. The position, velocity, and acceleration of any unidentified system components can then be calculated using geometrical considerations.
Where [tex]v[/tex] is the final velocity and [tex]v_{0}[/tex] is the initial velocity, we utilize the formula [tex]v = v_{0}+at[/tex] (because the train starts from rest), [tex]a= 1.35\frac{m}{s^{2} }[/tex], [tex]v_{0} = 80.0\frac{km}{h} = 22.22\frac{m}{s}[/tex]
Injecting these into the formula above and calculating t provides us with,
[tex]t= \frac{v-v_{0} }{a}[/tex] ≈ [tex]16.5 s[/tex]
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A car whose mass is 1600 kg (including the driver) has a maximum acceleration of 1.2 m/s^2. if three 80-kg passengers are also in the car, its maximum acceleration will be?
With the same force applied, the acceleration of car with three passengers is 1.04 m/s².
We need to know about force to solve this problem. According to second Newton's Law, the force applied to an object will be proportional to mass and acceleration. Hence, it can be written as
F = m . a
where F is force, m is mass and a is acceleration
From the question above, we know that
mcar = 1600 kg
a0 = 1.2 m/s²
mpassenger = 80 x 3 kg = 240 kg
As we know that the force of car is the same whether there are passengers or no. Hence, we can write
F = F
mcar . a0 = mtotal . a
1600 . 1.2 = (1600 + 240) . a
1920 = 1840a
a = 1.04 m/s²
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A cook checks the temperature of soup being held for service and it is 130 fahrenheit to cook reheats the suit to 165 this is example of:________
A cook checks the temperature of soup being held for service and it is 130 Fahrenheit to cook reheats the suit to 165 this is example of taking a corrective action.
What is meant by corrective action?
Realizing and characterizing issues, identifying their root causes, and taking the necessary steps to stop them from happening again are all components of corrective action. After that, the Corrective Action Process (CAP) aids in creating, implementing, and verifying the measures done.
Improvements to an organization's procedures are used to get rid of the reasons behind non-conformities or other undesired circumstances.
"Corrective action" refers to a course of action to get rid of the root of a discovered non-conformity or other unwanted circumstance. A nonconformity may have more than one source. In order to avoid repetition, corrective action is taken.
The soup is reheated to 165°F (74°C) when the cook determines that it is 130°F (54°C) when it is being kept for service. This serves as an illustration of corrective action.
A solution that aids in resolving a specific issue is referred to as a rectification action.
In this instance, the cook's corrective intervention aids in keeping the soup fresh.
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