The desired outcomes for standard variation are;
a. [tex]P(X < 860) = P(z < -2.80) = 0.0026 = 0.26%[/tex]
b.[tex]P(1055x1100) = P(z2.00-z1.10) = 0.9772-0.8643 = 0.1129 = 11.29%[/tex]
c.[tex]86.17%[/tex]% if [tex]P(860 X 1055) = P(z 1.10) - P(z -2.80) = 0.8643 - 0.0026[/tex]
You will need the probabilities P(X 860), P(X 1055) and P(X 1100) from the cumulative normal probability distribution for the variable X in order to calculate these values (the weight of a can of pears, in this case).
The straightforward approach is to use the connection to reduce the required values of X to the reduced parameter z instead of laboriously deriving this information from the equation for this distribution and the given values for its mean and standard deviation.
z = (X - μ)/σ
which results in X = 860 z = -2.80, X = 1055 z = +1.10, and X = 1100 z = +2.00 in this instance.
You then check a public table for the cumulative standard normal distribution for the fractional probability for the necessary z values.
- To the tabular value P, add 0.5 for positive z. (z)
- To account for negative z, deduct from 0.5 the P(z) value that corresponds to positive z.
[tex]P(z) = 0.4974 for z = 2.80,[/tex] which means that,[tex]P(z -2.80) = 0.5 - 0.4974 = 0.0026.[/tex]
[tex]P(z) = 0.3643[/tex] and [tex]P(z 1.10) = 0.3643 + 0.5 = 0.8643[/tex] for [tex]z = 1.10[/tex] respectively
[tex]P(z) = 0.4772[/tex] and [tex]P(z 2.00) = 0.4772 + 0.5 = 0.9772[/tex] for [tex]z = 2.00.[/tex]
Finally, we can get the desired outcomes.
a. [tex]P(X < 860) = P(z < -2.80) = 0.0026 = 0.26%[/tex]
b.[tex]P(1055x1100) = P(z2.00-z1.10) = 0.9772-0.8643 = 0.1129 = 11.29%[/tex]
c.[tex]86.17%[/tex]% if [tex]P(860 X 1055) = P(z 1.10) - P(z -2.80) = 0.8643 - 0.0026[/tex]
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The path of motion of a thrown javelin is an example of
The path of motion observed during the javelin throw is an example of curvilinear motion.
What is curvilinear motion?When an object is thrown at a particular angle, the motion of an object is curved i.e, called curvilinear motion.
Example: A stone thrown into the air at a particular angle.
The javelin throw is a sport with a track and field event where a spear of 2.5m in length is thrown into the air at a particular angle. Thus considered an example of curvilinear motion
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How might the emergence of millions of cicadas at once benefit the cicadas?
The emergence of millions of cicadas benefits.
Cicadas are a source of food. Cicadas are consumed by a large number of people worldwide, not just "on a dare," but also as a delicacy or staple meal. For instance, cicadas have been on Bizarre Foods with Andrew Zimmern more than once. Native Americans consumed cicadas as well, and in at least one instance, doing so helped a group survive difficult times. Insectivore gourmets should, however, rely on readily cultivatable insects like crickets, waxworms, and mealworms as cicadas are typically not a sustainable food supply.Cicadas serve as a source of inspiration for musicians and artists. Numerous songs have been influenced by cicadas, and there are albums and bands named after them.To know more about Cicadas visit : https://brainly.com/question/14927697
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At what temperature (degrees fahrenheit) is the fahrenheit scale reading equal to (a) 3 times that of the celsius and (b) 1/ 3 times that of the celsius?
3 times that of the celsius = 80°F
1/ 3 times that of the celsius = -160°F/29 F
How is the Fahrenheit scale reading calculated?Fahrenheit scale = 9/5 (°Celcius) +32
a) 3 times that of the celsius
F = 3C
C= F/3
Fahrenheit scale = 9/5 (°Celcius) +32
= 3F/5 + 32
F - 3F/ 5 = 32
2F/5 = 32
2F = 160
F = 80° F
b) 1/ 3 times that of the celsius
F = 1/3 C
3F = C
F = 9/5( 3F) + 32
F = 27F/5 +32
5F-27F = 160
-22F = 160
F = -160°F/ 29
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Can an object experience uniform acceleration and uniform velocity at the same time?
Answer:
Explanation:
No, If An object is moving in a uniform velocity that means there is no change in velocity(speed) ,The object keeps on moving with the same speed .No change in speed means that thee is no acceleration encountered by the object. Even the Equations of motions support the statement.
A car moving with constant acceleration covers the distance between two points 120 m apart in a time of 8.0 s. its speed at the second point is 12 m/s. what is the speed of the car at the first point?
The speed of the car at the first point is 18 m/s.
How do we calculate the initial speed?
The equation we can be used for finding the speed of the first point is:
⇒ Δx = ½ (v + v₀)t
From this we can easily calculate v₀ i.e,
⇒ v₀ = 2Δx/t - v
According to the question it is given that,
Distance between two points is , Δx =120 m,
Time t = 8.0 s,
Speed at second point is, v = 12 m/s,
Speed at first point is, v₀ = ?
From above formula,
⇒ v₀ = 2Δx/t - v
= 2×120/8 - 12
= 240-96/8
= 144/8
= 18 m/s
Therefore the speed at first point is 18 m/s.
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This is for ESS(Earth Space Science)
The combination of low oxygen levels in the ocean and low carbon dioxide in the atmosphere led to cooling temperatures and the Late Devonian extinction, 380 million years ago. Many ocean dwellers went extinct, including ⎽⎽⎽(blank)⎽⎽⎽⎽⎽. In contrast, ⎽⎽⎽⎽(blank)⎽⎽⎽⎽ fared best since they were transitioning from sea to land and could survive in both regions.
1. trilobites; tetrapods
2. tetrapods; armored fish
3. trilobites; armored fish
4. tetrapods; trilobites
The combination of low oxygen levels in the ocean and low carbon dioxide in the atmosphere led to cooling temperatures and the Late Devonian extinction, 380 million years ago. Many ocean dwellers went extinct, including trilobites. In contrast, tetrapods fared best since they were transitioning from sea to land and could survive in both regions.
The tetrapods are characteristized by the possession of muscles and skeleton which aids support and movement respectively.
What are tetrapods?The tetrapods are referred to as vertebrates ( those animals with backbones) which have two pairs of limbs. That is, they have four different limbs
So therefore, The combination of low oxygen levels in the ocean and low carbon dioxide in the atmosphere led to cooling temperatures and the Late Devonian extinction, 380 million years ago. Many ocean dwellers went extinct, including trilobites. In contrast, tetrapods fared best since they were transitioning from sea to land and could survive in both regions.
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The most immediate, but necessarily limited, source of energy for reformation of atp in muscle cells is:________
The most immediate, but necessarily limited, source of energy for reformation of ATP in muscle cells is creatine phosphate. When ATP is used for energy by the cells, it is broken down into ADP and inorganic phosphate. This process is reversible, but it requires energy to reform ATP from ADP and inorganic phosphate. The primary source of this energy is creatine phosphate, which donates a phosphate group to ADP to form ATP.
This process is called phosphocreatine resynthesis and it occurs in the mitochondria of muscle cells. Phosphocreatine is synthesized from creatine and ATP in a reaction that requires the enzyme creatine kinase. This reaction is irreversible, meaning that the synthesis of phosphocreatine from creatine and ATP cannot be used to generate ATP.
The amount of ATP that can be generated from phosphocreatine resynthesis is limited by the amount of creatine phosphate available in the muscle cells. Creatine phosphate is synthesized in the liver from creatine and ATP. It is then transported to the muscle cells where it is used for phosphocreatine resynthesis. The synthesis of creatine phosphate in the liver is a slow process and the amount of creatine phosphate in the muscle cells is limited.
The most immediate source of energy for reformation of ATP in muscle cells is therefore creatine phosphate. This source of energy is limited, however, and other sources of energy must be used to maintain ATP levels in the cells.
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What is a Ice pack on a injury?
Conduction Convection Radiation
Conduction is the process by which ice packs transfer heat when put on an injury.
Both gel packs and ice packs mostly absorb heat by conduction, or by coming into close touch with the treatment region.
By producing vasoconstriction, which lowers blood flow to the damaged spot, ice minimizes edema, bleeding, and inflammation. By inhibiting pain receptors and nerve transmission, ice immediately reduces pain and muscular spasm.
Direct contact between the items is how heat is transferred during conduction. Convection is the process through which heat is moved within the fluid. Heat transmission in radiation happens by electromagnetic waves without the need of particles. The temperature differential causes the heat transfer to occur.
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What is the reactance of an inductor with an inductance of 3.10 h at a frequency of 81.0 hz ?
The inductive reactance is 1578.34 Ω.
We need to know about inductive reactance to solve this problem. The inductive reactance is the internal resistance in the inductor caused by changing current. It can be described as
XL = ω . L
where XL is inductive reactance, ω is angular speed and L is inductance.
The angular speed can be determined by
ω = 2π . f
where f is frequency.
From the question above, we know that
f = 81 Hz
L = 3.1
By substituting the given parameters, we get
XL = ω . L
XL = 2π . f . L
XL = 2π . 81 . 3.1
XL = 1578.34 Ω
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Hich physical law underlies the first law of thermodynamics? conservation of matter increase in entropy conservation of energy conservation of work
Conservation of energy describes law of thermodynamics.
Energy can be converted from one form to another, but it cannot be created or destroyed. According to the rule of conservation of energy, the total energy of any isolated system (for which energy and matter transfer over the system boundary is not feasible) is constant.
deltaU=Q-W
where Delta U}\Delta U denotes the change in the internal energy of a closed system (for which heat or work through the system boundary are possible, but matter transfer is not possible), Q denotes the quantity of energy supplied to the system as heat, and W denotes the amount of thermodynamic work done by the system on its surroundings
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A ball is thrown directly downward with an initial speed of 7.05 m/s, from a height of 29.9 m. after what time interval does it strike the ground? s
The ball that is thrown directly downward with an initial speed of 7.05 m/s, from a height of 29.9 m. takes 3.29 s to strike the ground
The formula for the downward vertical launch and the procedure we will use is:
t = {V₀ + [tex]\sqrt{}[/tex][(V₀)² + 2*g*y]}/ g
Where:
v₀ = initial velocityg = gravityy = heightt = timeInformation about the problem:
g = 9.8 m/s²v₀ = 7.05 m/sy = 29.9 mt= ?With the information gave, we can calculate the time from the ball is thrown, using the formula of downward vertical launch:
t = {V₀ + [tex]\sqrt{}[/tex][(V₀)² + 2*g*y]}/ g
t = {7.05 m/s + [tex]\sqrt{}[/tex][(7.05 m/s)² + 2*9.8 m/s²*29.9 m]}/ 9.8 m/s²
t = {7.05 m/s + [tex]\sqrt{}[/tex][49.70 m²/s² + 586.04m²/s² ]}/ 9.8 m/s²
t = {7.05 m/s + [tex]\sqrt{}[/tex][635.74 m²/s² ]}/ 9.8 m/s²
t = {7.05 m/s + 25.214 m/s}/ 9.8 m/s²
t = 32.26 m/s/ 9.8 m/s²
t = 3.29 s
What is vertical launch?In physics vertical launch is the motion described by an object that has been launched vertically in which the acceleration is the earth's gravitational force.
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two forces 3N and 4N act on a body in a direction due north and due East respectively calculate their equivalent
Two forces 3N and 4N act on a body in a direction due north From East, the equilibrant's angle is given by [tex]\theta=\tan ^{-1} \frac{3}{4}=36.8^{\circ}[/tex].
What are equilibrium and resultant force?The equilibrium force is the balanced force when the net force acting is zero and is the exact opposite of the consequent force. The resultant force is one single force replaced by numerous forces.
Briefing:3N and 4N are the two forces pulling on a body.
The forces work along the North and the East, which are perpendicular to one another.
The resultant of the forces, which is provided by the equilibrant force,
R = √(3)²+(4)²
R = 5N
From East, the equilibrant's angle is given by
[tex]\theta=\tan ^{-1} \frac{3}{4}=36.8^{\circ}[/tex]
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please help i need it fast
What is the weight, in n, of an object with a mass of 200 kg at a location where g = 9.6 m/s^2?
The gravitational force applied on the object or weight of the object is equal to 1920 N.
What is weight?
The force exerted on an object by gravity is known as the weight of the object in science and engineering. The gravitational force acting on the any object is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength. Others define it as the strength of the force that mechanisms that counteract the effects of gravity impose on a body.
In order to calculate the object's weight we just needed to multiply its mass with the given gravitational acceleration. Then after inserting the values for m and g we can obtain the solution.
So, we get equation
[tex]F = m \times g[/tex]
Putting values in the equation,
[tex]F = 200 \times 9.6[/tex]
We get the force,
[tex]F = 1920 N[/tex]
Therefore, the weight of the object is 1920 N.
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When evaporating solvent from a solution by gently blowing compressed air on it, why is it helpful to warm the solution?
Solvent evaporation reduces the vapor pressure of the liquid by removing heat energy from the solution and container, cooling both as a result. Warming the remedy mitigates this
One way to separate the components of a mixture with a dissolved solid in a liquid is through evaporation. The liquid evaporation, or transforms from a liquid to a gaseous condition. It frequently calls for heat. The solid is all that remains after the liquid has entirely evaporated. The spontaneous passage of molecules from the liquid phase to the gas phase is known as evaporation. Condensation's opposite is evaporation.
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Of the four states of matter, which has particles that are the most tightly packed together?
O liquid
O solid
O gas
O plasma
Answer: In solids, the particles are tightly packed together. In liquids, the particles have more movement, while in gases, they are spread out. Particles in chemistry can be atoms, ions or molecules.
Explanation: hope this helps
solid state of matter is a particles which has the most tightly packed together.
Angular momentum is the rotational analog of linear momentum, found by taking the product of moment of inertia and ___________________.
Angular momentum is the rotational analog of linear momentum, found by taking the product of moment of inertia and The reciprocal of linear acceleration is angular velocity.
The right-hand rule, which uses the thumb to indicate the direction of angular velocity momentum and four fingers to represent the direction of motion, can be used to determine the direction of angular momentum.
Angular momentum is a characteristic that describes an object's rotatory inertia while it is moving about an axis that may or may not pass through it.
Torque is needed in rotational motion to cause an item to accelerate angularly. The distribution of the object's mass affects how much torque is needed to produce an angular acceleration. The value that describes the distribution is called the moment of inertia.
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5. Which descriptive term illustrates an inference?
(1) transparent
(2) younger
(3)bitter
(4)smooth
Pls helps pls help pls help pls help pls help
Answer:
That would be:
(2) younger
From your observations in electrostatics i, what evidence is there for the existence of at least two varieties of charge? have you seen anything that shows that a third type of charge exists?
No there is nothing that shows third type of charge existence.
Why do we know there are two different kinds of charges?A few straightforward experiments can demonstrate the existence of two different types of charges. As it loses electrons to the silk cloth when the glass rod is rubbed against it, the glass rod becomes positively charged. The silk material acquires a negative charge.
Why are there two different types of fees?The physical characteristic of matter is its electric charge. It comes in both positive and negative forms. While opposite charges repel one another, like charges attract.
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In step 9 of the procedure, if you were asked to determine the mass of solution in a test tube, how would you measure this mass?
In order to calculate the mass of the solution, we use the formula
V = πr2h
What does a test tube weigh?After heating, the test tube and anhydrous hydrate weigh 17.05 g. The test tube weighs 15.81 g when it is empty. 1.24 g is the mass of anhydrous hydrate. 0.48 g of water is lost.
How would you calculate a test tube’s volume?Don’t factor in the glass’s thickness when reading. Using the following formula, determine the capacity of each test tube: V = r2h, where r (the radius) = ½ the diameter and = 3.14.
Your final computation should be rounded to the correct number of significant figures.
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If you drop an object in the absence of air resistance, it accelerates downward at 9.8 m/s^2. if instead you throw it downward, its downward acceleration after release is :________
The downward acceleration after release is 9.8 m/s^2.
What is the universal law of gravitation, or NLG?
Every particle of matter in the universe is drawn to every other particle by a force that varies directly with their combined masses and inversely with their distance from one another.
Whether an object is moving or at rest, gravity still exerts its force on it.
In the given case, the general equation is as follows:
s = s₀+v₀t+1/2g[tex]t^{2}[/tex]
where
s is referred to as position at time t,
s₀ is referred to as the initial position,
v₀ is referred to as the initial velocity,
g is referred to as the acceleration of gravity and
t is referred to as the elapsed time.
When the object leaves your hand, we would typically say that time is (t)=0.
An object initial velocity is increased when it is thrown, whereas it would be zero if it were simply dropped.
However, once it is out of your hand, gravity accelerates at the same rate in both directions. As a result, the downward acceleration is 9.8 meters per second squared.
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-2,-9 reflected across the y axis??
Answer:
(2,-9)
Explanation:
Reflection over the y-axis:
As a general rule any point (x, y) reflected over the y-axis becomes ( -x, y)
The y-axis acts like a mirror.
Reflect (-2, 9) over the y-axis:
The point (-2,-9) reflected over the y-axis becomes point ( 2,-9)
A car accelerates from 5m/s to 20m/s in 2.5 seconds
Acceleration of the car is 6 m / s ².
a = ( v - u ) / t
a stands for acceleration
u stands for initial velocity
v stands for final velocity
Given ,
u = 5 m / s
v = 20 m / s
t = 2.5 s
a = ( v - u ) / t
a = ( 20 - 5 ) / 2.5
= 15 / 2.5
a = 6 m / s ²
Hence , Acceleration of car is 6 m / s ² .
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The given question is incomplete kindly refer below for complete question :
A car accelerates from 5m/s to 20m/s in 2.5 seconds . Find the acceleration of the car .
The rigid beam is supported by a pin at c and an a992 steel guy wire ab of length 6 ft. If the wire has a diameter of 0. 2 in. , determine the distributed load w if the end b is displaced 0. 12 in. Downward. The wire remains elastic.
The length by which the guy wire stretches is; δ = 0.091 in
We are given;
Length of guy wire AB = 6ft = 72 in
Diameter of wire = 0.2 in
UDL = 200 lb/ft
From the free body diagram of the rigid beam system and the guy wire attached, we can say that;
Taking moments about point C gives;
∑Mc = 0; -(2000 * 5) + (F_BA * cos 30 * 10) = 0
-10000 + 8.66F_BA = 0
8.66F_BA = 10000
F_BA = 10000/8.66
F_BA = 1154.73 lb
Now, the length which it stretches is gotten from the formula;
δ = PL/AE
Where;
δ is change in length
P is Force
L is length of wire
A is area
E is modulus of elasticity of wire(steel) = 29000 ksi = 29000000 psi
A = πd²/4
A = π * 0.2²/4
A = 0.0314 in²
Thus;
δ = (1154.73 * 72)/(0.0314 * 29000000)
δ = 0.091 in
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Tech a says that friction bearings are made up of balls and rollers. tech b says that non friction bearings are in sliding contact between moving surfaces. who is correct?
Here in this question neither of them are correct. As the friction bearings are not made of balls and rollers. Also, non friction bearings are not in a sliding contact between moving surfaces.
In order to provide a low-friction support surface for rotating or sliding surfaces, friction bearings are composed of a stationary, non-moving bearing surface, such as machined metal or a pressed-in bushing.
Lubricating oil is frequently used in friction bearings to isolate the moving part from the mated non-moving bearing surface. An antifriction bearing uses rolling parts connected by inner and outer rings to absorb the radial forces acting on the rotor.
It is typically mounted to the shaft with an interference fit. Pumps and aero-derived gas turbines frequently use antifriction-type bearings.
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If the atomic mass of neon is 20 amu, how much neon would be needed to have an avogadro's number of neon atoms?
By Avogadro's number, the mass of Neon atom is 20 grams.
We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many carbon atoms are in one mol. The Avogadro's number is
Na = 6,02 × 10²³ atoms / mol
From the question above, we know that
Mr = 20
N = 6,02 × 10²³ atoms
By using Avogadro's number, we can calculate how much Neon atoms
N = n . Na
6,02 × 10²³ = gr / Mr . 6,02 × 10²³
gr / 20 = 1
gr = 20 grams
Hence, the mass of Neon atom is 20 grams.
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In ernest rutherford's gold foil experiment, why did alpha particles sometimes (1 in 8,000) fly violently in a random direction?
In ernest rutherford's gold foil experiment, why did alpha particles sometimes (1 in 8,000) fly violently in the positive alpha particle were perfectly aligned to strike a nucleus.
In Rutherfords' experiment, the positively charged alpha particles were perfectly aligned to strike the nucleus. Thus they got deflected in a random direction due to repulsions between the positively charged nucleus and positively charged alpha particles.
Ernest Rutherford conducted this experiment in response to J.J. Thomson's plum-pudding model experiment.
A thin piece of gold foil, an alpha particle-emitting radioactive source, and a fluorescent screen that encircles the gold sheet were used in this experiment. He set the radioactive source in front of the gold sheet, which had a fluorescent screen surrounding it. Now, the alpha particle from that radioactive source bombarded this gold foil sheet.
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pls could someone help me?
What is the potential difference across each capacitor,if they are connected to a 12 v batter?
It is discovered that the capacitor’s potential difference increases to 4.0 V in one second.
Does a capacitor have a different potential across it?There is a potential difference (p.d.) between the plates of a capacitor when it is completely charged, and the larger the area of the plates and/or the smaller the distance between them (known as separation), the greater the charge that the capacitor can carry and the greater the capacitance.
How are differences in potential calculated?Divide the resistance present in the circuit by the current flow rate.
The resulting number, expressed in volts, is the potential difference. Ohm's Law, or V = IR, is the name of this equation.
What is the difference in potential between parallel capacitors?With several parallel capacitors, the potential difference is the same, but the charge increases. Similar to adding resistance in series, paralleling capacitors increases effective capacitance.
Effective capacitance is calculated as effective capacitance = capacitance 1 + capacitance 2.
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10.0 points
A reconnaissance plane flies 446 km away from
its base at 684 m/s, then flies back to its base
at 1026 m/s.
What is its average speed?
Answer in units of m/s.
007
The average speed in m/s, given the data is 820.80 m/s
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
What is average speed?This is the total distance travelled divided by the total time taken to cover the distance.
Average speed = total distance / total time
How to determine the time taken to fly away from the baseDistance = 446 km = 446 × 1000 = 446000 mSpeed = 684 m/sTime to fly away =?Speed = distance / time
684 = 446000 / time
Cross multiply
684 × time = 446000
Divide both side by 684
Time = 446000 / 684
Time to fly away = 652.05 s
How to determine the time taken to return the baseDistance = 446 km = 446 × 1000 = 446000 mSpeed = 1026 m/sTime to return =?Speed = distance / time
1026 = 446000 / time
Cross multiply
1026 × time = 446000
Divide both side by 1026
Time = 446000 / 1026
Time to return = 434.70 s
How to determine the average speedTotal distance = 446000 + 446000 = 892000 mTime to fly away = 652.05 sTime to return = 434.70 sTotal time = 652.05 + 434.70 = 1086.75 sAverage speed =?The average speed can be obtained as follow:
Average speed = total distance / total time
Average speed = 892000 / 1086.75
Average speed = 820.80 m/s
Thus, the average speed is 820.80 m/s
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