The Earth's gravitational field strength, g = 9.81 N kg-1, is also sometimes given as the acceleration due to gravity, g = 9.81 m s-2. Show that these units are equivalent.​

Answers

Answer 1

The units N kg-1 and ms^2 are equivalent.

What are dimensions?

In physics, we often use the idea of dimension to establish the fact that a physical relationship is correct. It could also be used to obtain correct unit of a given physical quantity.

Now we have to obtain the dimensions of N kg-1 from the fact that;

N = Kgms^2 this implies that;

Kgms^2(kg-1) = ms^2

Hence, the units N kg-1 and ms^2 are equivalent.

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Answer 2

Answer:

Explanation:

dimensions of N kg-1 from the fact that;

N = Kgms^2 this implies that;

Kgms^2(kg-1) = ms^2

Hence, the units N kg-1 and ms^2 are equivalent.


Related Questions

Complete the statement detailing the relative change in [h ][h ] when the phph of a solution changes from 6.406.40 to 8.40.

Answers

When a solution's pH increases from 6.40 to 8.40. is 100 times smaller.

What is the solution described?

In chemistry, a solution is a homogeneous mixture of two or more compounds in their relative proportions, which can be constantly changed up to what is known as the limit of solubility. Although solutions of gases and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.

What three types of solutions are there?

Solutions that are isotonic, hypotonic, and hypertonic (tonicity).

What is the significance of the solution?

Any of the phases of matter can dissolve in another phase in a solution, which is a homogenous mixture of molecules. Solution chemistry is crucial because the majority of chemical reactions, whether they occur in a lab or in nature, take place in solutions, whether they involve solids, liquids, or gases.

According to given statement:

pH = -log [H+]

6.4 = -log [H+]

[H+] = 3.981*10^-7 M

pH = -log [H+]

8.4 = -log [H+]

[H+] = 3.981*10^-9 M

We can see that [H+] at 8.40 is lower by 100 times as compared to [H+] at pH = 6.40.

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U = 3, 9 , v = 4, 2 (a) find the projection of u onto v. (b) find the vector component of u orthogonal to v.

Answers

Answer:

(a) At U = 3, 9 , v = 4, 2, the projection of u onto v is w1=<2,8>

(b)At U = 3, 9 , v = 4, 2,  the vector component of u orthogonal to v is w2 = <4,-1>

Explanation:

A

The projection of u onto v is given by:

w1= projvu = (u⋅v||v||2)v

Given that  u= <6,7> and v=<1,4>, we can find the projection of u onto v as shown below:

w1= projvu = (u⋅v||v||2v=(<6,7>⋅<1,4><1,4>⋅<1,)

=(6⋅1+7⋅41⋅1+4⋅4)<1,4>

=3417<1,4>

=<2,8>

Part B

The vector component of u orthogonal to v is given by:

Using the given vectors and the projection found in part (a), we can find the vector component of u orthogonal to v as shown below:

w2=u−projvu

=<6,7≻<2,8>

=<(6−2),(7−8)>

=<4,−1>

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Amazon delivery boxes are launched from a horizontal conveyor belt moving at a rate of 3 m/s into bins for shipping. If the surface of the conveyor belt is 1.4 m off the ground, what is the range of each Amazon box?


Show some work

Answers

The range of each Amazon box that are launched from a horizontal conveyor belt is 1.62 m.

According to equations of motion,

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

Since the conveyor belt is at a height of 1.4 m, it has a vertical motion when falling from the conveyer belt.

h = 1 / 2 gt²

1.4 = 1 / 2 * 9.8 * t²

t = √ 0.29

t = 0.54 seconds

The range is the horizontal distance covered,

[tex]d_{x}[/tex] = [tex]V_{x}[/tex] * t

[tex]d_{x}[/tex] = 3 * 0.54

[tex]d_{x}[/tex] = 1.62 m

Therefore, the range of each Amazon box that are launched from a horizontal conveyor belt is 1.62 m.

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A car is traveling at a speed of 33 m/s . (a) what is its speed in kilometers per hour? (b) is it exceeding the 90 km/h speed limit?

Answers

According to the statement:

a) speed is equal to 118 km/h in kilometres per hour.

b) yes it is exceeding 90km/h.

What does speed mean?

The pace at which an object's position changes in any direction is referred to as speed. Speed is defined as the ratio of something like the distance traversed to the time required to cover that distance. . . Speed is a scalar quantity since it just has a direction and no magnitude..

How are the speeds determined?

Speed is determined by dividing the distance by the time. Calculating the units for speed requires knowledge of the units for both time and distance.. The units in this example will be meters per second (m/s), since the distance is measured in meters (m) and the time is measured in seconds (s).

(a)s₂= 118.km/h is its speed in kilometres per hour.

1h = 3600s

1km = 1000m

s₂= (33m/s) *[tex]\left(\frac{60 \times 60}{1000}\right)[/tex]

= 118.8km/h

s₂= 118.km/h

(b) yes it is exceeding 90km/h.

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A schematic can tell an electrician that the switches are normally
until the sensor senses smoke.
a. locked
b. open
c. closed
d. charged

Answers

The correct answer is Option B) Open.

A schematic can tell an electrician that the switches are normally open

until the sensor senses smoke.

What is a schematic diagram?

A simple, understandable graphical representation of a plan or model is called a schematic diagram. Simple lines and symbols are used in schematics to convey details like what, how, and where. A schematic diagram's primary role is to highlight circuit components and the relationships between them. Schematics are a very useful tool for troubleshooting since they show which parts are connected in series or parallel and how.

An example of an electrical switch is one that is normally open. A typically open switch remains "off" when it is not compressed. The inside electrical connections are to blame for this. In a typically open switch, the contacts are open when the switch is off. This indicates that the switch is "off" because the electrical connection is damaged.

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How far does a person travle in coming to a complete stop in 33 ms at a constant acceleration of 60g?

Answers

person travelled a distance of 0.32m in coming to a complete stop.

Acceleration - Acceleration is the rate of change of velocity with respect to time.

It is a vector quantity.It has both the magnitude and direction. It is measured in m/s²

The distance travelled is calculated as  

Time t = 33ms = 33/1000 = 0.033s

Acceleration a = 60g

g = 9.8 m/s²

a = 60g = 60 × 9.8 = 588 m/s²

The person must be moving at a certain initial velocity.

Since the person is going to stop, V = 0

using equation of motion we get

V = U - at

0 = U - 588 × 0.033

0 = U - 19.404

U = 19.404 m/s

The distance travelled is

using equation of motion

V² = U² - 2aS

0 = (19.404)² - 2 × 588S

1176S = 376.51

S = 376.51 / 1176

S = 0.32 m

the distance is 0.32m

The person travelled a distance of 0.32m in coming to a complete stop.

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How deep under the surface of a lake would the pressure be double that at the surface?

Answers

Answer:

approx  33 ft

Explanation:

 One atmosphere of pressure is added per 33 ft of depth

using a(n) researchers can examine the brain's magnetic fields, which help researchers understand how certain tasks influence brain activity based on the speed and strength of the magnetic field.

Answers

Magnetoencephalography (MEG) allows researchers to examine the brain's magnetic field. Which helped researchers to understand how certain tasks influence brain activity.

It isn't. Invaluable tool to study the large scale brain activity. And interactions with the body.

MEG was developed in 1960s .

In this technique weak magnetic forces associated with electrical activities of brain are monitored .

It collects activity from neurons visualized as brain waves and it is used with MRI in magnetic source imaging.

Med fields passes through the head without any distortion.

It provides a Spatial and temporal resolution.

Magnetoencephalography (MEG) allows researchers to examine the brain's magnetic field.

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On hoods where sashes open vertically, work with the hood sash in the _____ position

Answers

On hoods where sashes open vertically, work with the hood sash in the lowest position.

What Is A Sash On A Fume Hood?

In the event of a fire, the fume hood sash offers a containment space. It functions as a blast barrier. The sash itself, together with the bypass grill above the sash, controls the fume hood's airflow properties. The sash's position does regulate the air velocity traveling through the fume hood, even if it has no effect on the amount of air passing through the fume hood. Air velocity is another element that affects chemical vapor capture. Raising the sash reduces the capture velocity, allowing vapors to start flowing over the sill and into the room's air.

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Use logarithmic differentiation to find the derivative of the function. y = x4 sin x

Answers

The derivative of the function is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]

y = [tex]x^{4sin x}[/tex]

Taking the log of both sides:

ln y = sin x ln [tex]x^{4}[/tex] = (sin x) * (4 ln x) = 4 (sin x)(ln x)

Now differentiate both sides.  On the left you'll need to use the chain rule, and on the right you'll use the product rule:

1/y dy/dx = 4[(sin x) (1/x) + (cos x)(ln x)] = 4 [(sin x) / x + (cos x)(ln x)]

Multiply both sides by y

dy/dx = y * 4 [(sin x) / x + (cos x)(ln x)]

Since y = [tex]x^{4sinx}[/tex], we can rewrite this as:

dy/dx = [tex]x^{4sinx}[/tex] * 4 [(sin x) / x + (cos x)(ln x)]

dy/dx = 4[tex]x^{4sinx}[/tex] [(sin x) / x + (cos x)(ln x)]

Chain rule is the formula used to find the derivative of a composite function. Product rule is used to find derivative of products of two or more functions.

Therefore, the derivative of the function y = [tex]x^{4sin x}[/tex] is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]

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A certain reaction has an activation energy of 43.41 kj/mol. at what kelvin temperature will the reaction proceed 7.50 times faster than it did at 317 k?

Answers

The temperature required to increase the reaction rate by 7.50 times will be 332.63 K .

The speed at which a chemical reaction proceeds is known as the reaction rate.

We are given that ,

The activation energy = E = 43.41 kj/mol

Initial temperature = T₁ = 317 k

Therefore we can write as, the temperature at which reaction has 7.50 times faster than at 317 K be T₂ . Then the rate of a reaction increases because the rate constant increases with temperature.

The relation between temperatures, rate constants, and activation energy is given as,

(k₁/k₂) = E/R [(1/T₁ ) - (1/T₂)]

Where, k₁ is rate constant at temperature T₁ and k₂  is rate constant at temperature T₂ & R is gas constant having value 8.314 j/kmol .

Thus putting all the given values in above equation then we get,

7.50k/k = (434100 j/mol)/(8.314j/kmol)[(1/317k) - (1/T₂)]

7.50 =  52213.1344 k [ 0.00315 k⁻¹ - 1/T₂]

1/T₂ = 0.00315 K⁻¹  - (7.50/52213.1344)

T₂ = 332.63 K

Therefore the temperature required to increase the reaction rate by 7.50 times is given as T₂ = 332.63 K

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Electrical insulating gloves marked with a beige label have a maximum use voltage level of _____ v.

Answers

The maximum use voltage level for electrical insulating gloves with a beige label is 17000 v AC.

By electrical insulating gloves, what do you mean?

To prevent burns and electrical shocks, users should wear electrically insulated rubber gloves. To shield workers from electrical shock, these are constructed of dielectric materials. Electricians working on electrical lines don rubber gloves, sometimes known as lineman's gloves. The gloves are tested at voltages higher than those for which they are rated. Rubber insulating gloves are the first line of defense, offering protection against shock and electrocution when coming into touch with electrified electrical parts and equipment, in contrast to arc flash protective suits, which are intended to lessen or eliminate injuries after an incident occurs. Rubber is a reliable form of shock protection because it doesn't conduct electricity. Rubber is a natural insulator, thus it will prevent electric currents from passing through your skin, unlike many other materials that behave as conductors.

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What did aristotle and ptolemy say about the relationship of earth to other celestial bodies?.

Answers

Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

Aristotle from Classic Greece and Ptolemy from Roman Egypt agreed on three facts:

Earth and other celestial bodies are spherical in shape.Earth is in the center and all other celestial bodies revolve around it.The other planets orbit in a circular path.

This model of the solar system with Earth in the center is called as Geocentric model.

Therefore, Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

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A drop in room temperature to 65of that causes the heater to turn on provides an example of a(an):_______

Answers

Answer:

stimulus

Explanation:

The assumption that the earth moved about the sun in a circle is known as the ___________ model.

Answers

Answer:

heliocentrism, a cosmological model in which the Sun is assumed to lie at or near a central point (e.g., of the solar system or of the universe) while the Earth and other bodies revolve around it.

What is the mass in kilogram of 680ml of a substance that has a density of 0.930?

Answers

Mass of substance is 0.6324 kg

Given:

volume = V = 680ml = 0.68 L

density = D = 0.930

To Find:

mass in kg

Solution: mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force.

Density = mass/volume

mass = Density x Volume = 0.93 x 680

Mass = 0.6324 kg

Hence, the mass of substance is 0.6324 kg

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Ernest rutherford was an important early researcher in nuclear physics. In one experiment, he observed that particles with a positive charge deflected when passing through a thin sheet of gold foil. What conclusion did rutherford make in this observation?.

Answers

Gold foil experiment

Ernst Rutherford conducted the Gold Foil Experiment in which α particles (doubly charged Helium Atoms) were bombarded on a thin gold foil. This experiment led to the discovery of the nucleus.

1) Most of the particles passed through undeflected

⇒ this meant that most of an atom is empty space

2) Some Alpha particles were deflected by some small angles

⇒ Since alpha particles are positively charged species , they can only be deflected if there are some positively charged atoms present that would repulse these particles.

3) A few ( about 1/20000 particles) bounced back

⇒There is a heavy mass of positively charged species in the atom , and since the alpha particles bounced back , this mass of positively charged species must have been highly dense.

Therefore, from these observations and inferences Rutherford concluded that most of an atom is empty space and there is a mass of positively charged particles in the center of the atom called the nucleus which contains protons. The electrons revolve around this nucleus at high speeds.

The mass of the atom is concentrated in the nucleus and is very small in size , making it highly dense.

For motion along a straight line it ______ possible for speed to be constant while acceleration is not zero.

Answers

For motion along a straight line it NOT possible for speed to be constant while acceleration is not zero.

If the acceleration is not zero means that the speed has changed whether to higher (positive acceleration) or lower (negative acceleration) if the object is slowing down.

When the speed is constant, it means that the velocity at the beginning of the motion and the velocity at the ending of the motion are the same.

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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What would the ratio of deprotonated to protonated histidines be if the phph decreased to 6.40?

Answers

The ratio of deprotonated to protonated histidines is [tex]10^{6.4 - pK_{a} }[/tex] : 1

We know that,

pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

where,

[ [tex]A^{-1}[/tex] ] represents deprotonated form

[ HA ] represents protonated form

Given that,

pH = 6.4

pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

6.4 = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

[ [tex]A^{-1}[/tex] ] / [ HA ] = [tex]10^{6.4 - pK_{a} }[/tex]

The relationship between pH and p[tex]K_{a}[/tex] shown above is known as Henderson-Hasselbach equation

Therefore, the ratio of deprotonated to protonated histidines is [tex]10^{6.4 - pK_{a} }[/tex] : 1

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Neurons have a net negative charge at rest. This means that when they are active, they must have a positive charge. True or false?.

Answers

The statement is True.  

Neurons have a net negative charge when it is at rest. This means that when they are well active, they must have a positive charge.

At rest, neurons have a net negative charge; the inside of neurons is approximately 70 millivolts more negative than the outside. When neurons are active, they must be positively charged in order to generate an action potential.

Neurons have a strong negative charge within them, as opposed to a positive charge outside. This is due to the presence of other molecules known as anions. They are negatively charged but far too large to escape through any available channel. They remain in place and give the cell a negative charge on the inside.

Because of an unequal distribution of positive ions across the membrane, the resting potential is negative; 3 Na+ is pumped out of the cell for every 2 K+ that enters, so the inside of the cell is less negative (less positive) than its surroundings.

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If you have to change the composition of a substance to measure that property, it is a
physical property.

O True

O False

Answers

Answer:

False

Explanation:

Physical properties can be measured without changing the composition of the substance. Physical properties of matter include color, hardness, malleability, solubility, electrical conductivity, density, melting point, and boiling point.

However, the chemical properties have to be measured by changing the composition of the substance.

Have a lovely rest of your day! :)

False.







Is correct answer

A 23.23 g sample of a compound contains 7.41 g of potassium, k, 6.72 g of chlorine, cl, and oxygen, o. calculate the empirical formula.

Answers

The  empirical   formula  is KClO₃

Empirical formula - The simplest whole no. combination of element in that compound.

The  empirical  formula of the  compound is  calculated :

sample of compound (mass) ,M = 23.23g

potassium, k, = 7.41 g

 chlorine, cl,=  6.72

 oxygen, o, = ?

  [tex]M = k_{m} + Cl_{n} + o_{p}[/tex]

23.23g = 7.41g + 6.72g + o

o = 9.1g

the  moles  of  each  element,  (moles)  = mass/  molar  mass

moles of   K  =  7.41g/39 g/mol(molar  mass  of K)  =  0.18  moles

moles  of Cl = 6.72g/35.5 g/mol(molar  mass  of Cl) =  0.18 moles

moles of  O  =  9.1g/ 16g/mol(molar  mass of  O) = 0.57 moles

then  calculate e  mole ratio by  dividing  each  mole  by  the  smallest  number  of  moles  (  0.18 moles)

K= 0.18/0.18= 1

Cl=0.18/0.18=1

O=  0.56/0.18=3

Hence  the  empirical   formula  = KClO₃

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A point on a standing wave that is always stationary is a(n) _____. antinode maximum minimum node

Answers

A point on a standing wave that is always stationary is an antinode.

What is antinode?

An antinode is the location where constructive interference of the incoming and reflected waves creates the maximum amplitude of the wave.

Antinodes are points on a stationary wave that oscillate with maximum amplitude.

Nodes are points of zero amplitude and appear to be fixed.

Thus, a point on a standing wave that is always stationary is an antinode.

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what do scientists do with a theory of a new evidence does not support a theory??

Answers

The scientists will search and do more research about it

The ball in front of you is going to drop one meter. how long will it take to fall?

Answers

The ball will take 0.45 seconds to reach the ground

How will we solve this question?

We will use Newton’s laws of motion, so

H= [tex](1/2)gt^2[/tex] taking height= 1m

[tex]1= (1/2) x 9.8 x t^2[/tex]

[tex]t=\sqrt{10/49} = 0.45 seconds[/tex]

What are the three laws of motion given by Newton?

The 3 laws of motion given by Newton are as follows:

1) Unless an unbalanced force acts upon it, an item at rest remains at rest, and an object in motion continues to move in a straight line at a constant pace.

2) An object's acceleration is influenced by its mass and the force being applied.

3) Whenever one thing applies force to another, the second object applies the opposing, equal force to the first.

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A plane lands on a runway with a speed of 115 m/s, moving east, and it slows to a stop in 11.0 s. what is the magnitude and direction of the plane's average acceleration during this time interval?

Answers

By using uniform motion, the acceleration of plane is - 10.45 m/s² .

We need to know about the uniform motion to solve this problem. The uniform motion is the motion of an object which has acceleration applied. It can be determined as

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time interval and s is displacement.

From the question above, we know that:

vi = 115 m/s

vt = 0

t = 11 s

By using first equation, we can calculate the acceleration

vt = vo + a . t

0 = 115 + a . 11

11a = -115

a = - 10.45 m/s²

Hence, the acceleration of plane is - 10.45 m/s² .

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What is the magnitude and direction of the magnetic flux density b within the air?

Answers

Magnetic flux density - It is the force acting per unit current per unit length on a wire placed to magnetic field at right angle.

It is denoted by B

unit of B is tesla (T)

                 

The total no. of magnetic field lines passing through a area is called magnetic flux.

Magnitude of the magnetic flux - It is equal to the area of the surface and having perpendicular direction to the plane of the surface.

Its unit is weber (Wb)

Direction to the magnetic flux density - The direction is north pole to the south pole.

The magnetic field lines are known as lines of magnetic flux.

flux lines are not in direction of force but perpendicular.

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If you are in the unfortunate event of having a collision with an animal the first thing you should do is:_________

Answers

If you are in the unfortunate event of having a collision with an animal the first thing you should do is to slow down the vehicle to a stop along the edge of the road and check whether the other passengers are safe.

Then, according to the Road Traffic Act of 1988, you should report the accident to a nearby police station or Blue cross within 24 Hours.

The next humane thing you can do is to clear it to safe spot away from the road if it is a wild animal and in case of a wild animal and if it is a pet you should call the owner.

Therefore, If you are in the unfortunate event of having a collision with an animal the first thing you should do is to slow down the vehicle to a stop along the edge of the road and check whether the other passengers are safe.

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River water held behind a dam is a form of ________. group of answer choices
a. potential energy
b. chemical energy
c. thermodynamics
d. kinetic energy

Answers

Potential energy is present in the river water behind a dam.

How is potential energy defined?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.The object's mass, its mass in relation to some reference points, and the gravitational field it is in all affect the potential energy of the object.Joule is the SI unit of potential energy as a result (J)As weight and height increase, gravitational potential energy rises.

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A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information. median = 202.1

Answers

a) Yes, there is one outlier (lower).

b) The boxplot can be seen with the image as attached below.

Step-by-step explanation:

Looking at the distribution of the lower/smallest observation, we can see that there is a value in the lower/smallest that is very far from others. See the attached diagram of the boxplot to understand it better.

The median is the line in the middle of the boxplot.

The Lower fourth is the lower whisker line and upper fourth is the upper whisker line. The lower box (just below the median) line is the 1st quartile, and the upper box line (just above the median) is 3rd quartile.

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Complete Question

A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information.

median = 202.1

lower fourth= 196.0

upper fourth= 216.8

three smallest observation 125.8 188.1 193.7

three largest observations 221.3 230.5 250.2

a. Are there any outliers in the sample? Any extreme outliers?

b. Construct a boxplot that shows outliers, and comment on any interesting features

Other Questions
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