y= 2.52 - 14.10x
Explanation:
Form a table as shown below
x y x² y² xy
13 17 169 289 221
20 19 400 361 380
22 23 484 529 506
18 16 324 256 288
19 20 361 400 380
11 10 121 100 110
10 11 100 121 110
15 18 225 324 270
128 134 2184 2383 2265 sum
The formula for correlation is given by;
y=a + bx
a= ( ∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²
a=(134)(2184) - (128)(2265) / 8 (2184)-(128²)
a=292656 - 289920 / 17472-16384
a=2.515
b= n (∑xy) -(∑x)(∑y) / n (∑x²)-(∑x)²
b=8 (226) -(128)(134) / 8 (2184) - 128²
b=1808-17152 / 17472-16384
b= -14.10
The equation is thus;
y= a+bx
y= 2.52 - 14.10x
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Keywords : rank, correlation coefficient, set, data
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Final answer:
To find Spearman's rank correlation coefficient for the given data, rank the values of X and Y, calculate the differences and squared differences of these ranks, and apply the Spearman's coefficient formula. A direct calculation cannot be provided without these intermediate steps. Spearman's correlation is appropriate for non-linear relationships.
Explanation:
To calculate Spearman's rank correlation coefficient between X and Y for the provided set of data, we must first rank the values of X and Y separately from lowest to highest and then compute the differences between the ranks for each pair of X and Y. After finding the squared differences of the ranks, we utilize the formula for Spearman's rank correlation coefficient:
rs = 1 - ( (6 ∑ d2 ) / (n(n2 - 1)) )
where d is the difference between the ranks of each pair and n is the number of pairs of scores. However, with the given information and without the ordered ranks and the differences of ranks, we cannot proceed to calculate the coefficient directly. We also need to note that if the variables show a curvilinear relationship or no clear linear relationship, Spearman's correlation would be a better measure of correlation than Pearson's.
The student should rank the values, compute the differences, square those differences, and substitute into the above formula to find Spearman's rank correlation coefficient.
1. What is the power when a voltage of 120 V drives a 2-A current through a device?
P=?
V=
Pa
P=
Yo sup??
To solve this question we must know that
P=VI
V=120 V
I=2 A
Therefore by using the above formula we get
P=120*2
=240 J
Hope this helps.
Answer: 240watt
Explanation:
V = 120 V
I = 2A
P = IV = 2 x 120
P = 240watt
A sprinter accelerates from rest to 10.0 m/s in 1.35 s l. What is her acceleration?
Answer:
7.4
Explanation:
How long will take your trip in hours if you travel 350km at an average speed of 80km/hr?
Answer:
4. hours to travel 350km going at a rate of 80km/hr.
Explanation:
Well first you must divide 350/80=4.375~4.
Answer: 4.375 hours
Explanation:
350 divided by 80 = 4.375
Can you think of a device or machine that transfers the motion of a hot gas to motion of an object?
Answer:
Turbines in coal factories
Explanation:
Turbines in coal factories use steam power to move the turbine flaps and generate static electricity as energy output.
Explanation:
a machine or a device that transfers the motion of a hot gas to motion of an object is a rocket ship.
hi:) anyone able to explain what’s human reaction time in physics ? Thank you in advanced :)
Answer:
A reaction time is something that measures the amount of time for you to respond to a stimulus. For an example the average human reaction time for a visual stimulus is 0.25 seconds, 0.17 seconds for a audio stimulus and 0.15 seconds for a touch stimulus.
Explanation:
Stimulus - A thing or event that evokes a specific functional reaction in an organ or tissue
Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?
Answer:
A
Explanation:
Transformation rule : The coordinates change by the rule when the figure rotate 90 degrees about the origin is given by
[tex](x,y)(-y,x)[/tex]
Transformation rule: When the figure reflected across x- axis then the coordinates change by the rule
[tex](x,y)(x,-y)[/tex]
The given figure cut x - axis at x=3
The coordinates (3,0).
After 90 degrees rotation about origin the coordinates becomes (0,3).
After reflection across x- axis , the coordinates becomes (0,-3).
Only in first figure, there is (0,-3) .
Hence, the option A is true.
6. When you lift a heavy box and place it on top of
put the box on the table, it remains stationary. We h
object, you either add to or take away from its energ
the energy of the box? Was it potential or kinetic er
Answer:
6 bub
Explanation:
Lifting a heavy box and placing it on a table increases its potential energy due to the work done against gravity. The box remains stationary with this added potential energy. If the box were to fall, this potential energy would be converted into kinetic energy as it accelerates towards the ground.
When you lift an object such as a heavy box and place it on a table, if the box remains stationary, it means that you have changed its energy state. Specifically, you have increased its potential energy. Potential energy is the energy stored in an object as a result of its position or height. For example, in Physics, lifting a 20 kg box of books through a vertical distance of 2m would involve an energy expenditure of approximately 400 J, signifying that the box gained 400 J of potential energy. This energy transfer occurs because of the work done against gravity: applying a force to lift the object off the ground increases its potential energy. Once the object is released, if it falls, the stored potential energy is converted into kinetic energy as it accelerates towards the ground due to the force of gravity.
It is important to note that while lifting the object, if it is done slowly so that the box's speed does not change significantly, the kinetic energy of the object remains constant (nearly zero if lifted slowly enough), although its potential energy increases. This concept is exemplified when an object is lifted using a device powered by chemical energy, such as a gasoline engine; the chemical energy is converted into gravitational energy, which is then stored in the object as potential energy. When it comes to work and energy, the work done on an object adds to its total energy. If that work is done to lift an object against the force of gravity, it is stored as potential energy.
write out a correct version of:
"the fuel in a nuclear power station is hydrogen gas"
"the fuel in a nuclear power station is Uranium 235"
Explanation:
Nuclear fuel is one of the sources of energy. Nuclear fission is the method used to create nuclear energy. Nuclear fission is defined as the breaking down of the helium atoms to hydrogen which produces large amounts of energy. There is one method of preparing nuclear energy which is nuclear fusion. It is the fusion of four hydrogen atoms to form one helium atom. It happens only in the Sun. It produces a larger amount of energy than fissionThe fuel used in a nuclear power station is Uranium 235 and plutonium 239 and these are the radioactive metals.Which of the following is a property of all periodic waves?
A. They follow a repeating pattern as they propagate.
B. They oscillate in a direction perpendicular to the direction in which they propagate.
C. They tend to propagate in a circle.
D. They always return to the same place.
Answer: Option A. They follow a repeating pattern as they propagate
Explanation:
Nichrome is used as heating element in heater.Why?
Nichrome is a mixture of nickel and chromium. Nichrome Wire is highly resistant to the flow of electricity . This resistance causes an increase in generated heat . It also has the ability to be heated many times without being destroyed. It is is a mixture of nickel and chromium.This heat is powerful enough to heat the water without damaging the wire.
Nichrome wire's high resistance to electric current causes it to heat up and transfer heat, its resistance can be calculated using Ohm's Law, and it draws power when initially switched on.
Nichrome wire is used as a heating element in heaters due to its high resistance to electric current, which causes it to heat up and transfer that heat to its surroundings. When electricity flows through a conductor like nichrome, heat is generated as a result of the resistance to the flow of electrons.
The resistance of the Nichrome wire can be calculated using Ohm's Law, knowing the power output and voltage supplied. Additionally, the length of the Nichrome wire needed can be determined based on its cross-sectional area and operating temperature.
When first switched on, the Nichrome wire heating element will draw a certain power as it starts to heat up until it reaches its operating temperature and stabilizes.
The density of an object is defined as its mass divided by its volume. Suppose the mass and volume of a rock are measured to be 8
g and 2.8325 cm^3.
What is the correct number of significant figures for the rock's density?
Express your answer using one significant figure.
Answer: 3g/cm3
Explanation:
Mass = 8g
Volume = 2.8325 cm^3.
Density = Mass / volume
Density = 8/2.8325 = 3g/cm3
Atoms with electronegativity differences below 0.4 generally form covalent
bonds. True or False
Final answer:
The statement is true; atoms with electronegativity differences below 0.4 typically form covalent bonds, with a bond being considered nonpolar covalent when the electronegativity difference is less than 0.4.
Explanation:
The statement that atoms with electronegativity differences below 0.4 generally form covalent bonds is true. In chemistry, the electronegativity difference between bonding atoms is a determinant of the type of bond they will form. If the difference in electronegativities is less than about 0.4, the bond is typically considered nonpolar covalent, where the bonding electrons are shared equally between the two atoms, and the distribution of electrical charge is balanced. When the electronegativity difference is between 0.4 and about 1.7, the bond is classified as polar covalent, meaning electrons are not shared equally, leading to a partial charge distribution within the molecule.
An electronegativity difference of zero indicates an absolute nonpolar covalent bond, while significantly higher differences (usually greater than about 1.8) suggest the bond will be ionic in character, where electrons are transferred from one atom to another, resulting in the formation of ions.
Which particle is a form of antimatter?
A. hydrogen-1
B. photon
C. positron
D. neutrino
Answer:
C. positron
Explanation:
Antimatter particles bind with each other to form antimatter, just as ordinary particles bind to form normal matter. For example, a positron (the antiparticle of the electron) and an antiproton (the antiparticle of the proton) can form an antihydrogen atom.
There you go.
Answer:C. positron
Explanation:
A baseball travels a distance of 20 meter at a speed of 25m/s. How much time did it take?
The baseball takes 0.8 s to travel a distance of 20 m at a speed of 25 m/s.
Explanation:
It is known that speed is the rate at which any object covers a particular distance.
So [tex]speed =\frac{\text { distance }}{\text { time }}[/tex]
Hence, it is known that speed is directly proportional to distance covered and inversely proportionate to the time taken to cover this distance.
Similarly, the time taken by any object to cover a distance is directly proportionate to the distance and inversely proportionate to the velocity of the object.
As the distance is given as 20 m and speed is given as 25 m/s, then the time can be easily obtained by finding the ratio of distance to speed.
Here,
[tex]\text { Time }=\frac{\text {distance}}{\text {speed}}=\frac{20}{25}=0.8 \mathrm{s}[/tex]
Thus, the baseball takes 0.8 s to travel a distance of 20 m at a speed of 25 m/s.
How does the lithosphere support life? A. It provides resources like food and shelter to support life. B. It produces water, which it stores in oceans. C. It maintains an optimum surface temperature for life. D. It is the source of energy for all living things.
Answer:
A. It provides resources like food and shelter to support life. ( on edmentum at least.)
In this section of a circuit, a current of 2.0 A flows across R1. What is the current across R2? Let R1 = 4.0 ohm, R2 = 8.0 ohm, and R3 = 1.0 ohm.
Answer:
I=1A
Explanation:
In parallel combination voltage is same
In R1
V=IR
V=2×4
V=8V
In R2
V=IR
I=V/R
I=8/8
I=1A
When pressing the accelerator on a car, the _______ energy of the fuel is transformed into the ______ energy that makes the car move.
Answer:
the chemical energy of the fuel is transformed into the mechanical energy
Explanation:
got it right on USAtestprep
When pressing the accelerator on a car, the chemical energy of the fuel is transformed into the mechanical energy that makes the car move.
What is energy transformation?Energy can neither ne created nor be destroyed. But it can be transformed from one form to the other. The energy transformation does not make any energy loss and the total energy is conserved always.
For instance in batteries, the chemical energy by electrolysis is converted into the electrical energy and which is passed into the electrical devices. This electrical energy further converted to mechanical energy to work fan, motors etc.
When pressing accelerator of the car, the chemical energy released from the combustion of the fuel is converted into the mechanical energy that drives the car ahead.
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2. Suppose one of your classmates says “The net force on an airplane is zero, therefore
must be on the ground and at rest." Is this a correct statement! Why or why not?
This is a false statement. Newton's first law says that if the net force on an object is zero, the object stays in UNIFORM MOTION. That means it keeps moving at a constant speed, in a straight line. It can certainly have some speed, in some direction, but without any net force, they CAN'T CHANGE.
How much heat is needed to change 1.25 kg of steak at 100°C to water at 100°C?
The heat required to change 1.25 kg of steak is 2825 kJ /kg.
Explanation:
Given, mass m = 1.25 kg, Temperature t = 100 degree celsius
To calculate the heat required,
Q = m [tex]\times[/tex] L
where m represents the mass in kg,
L represents the heat of vaporization.
When a material in the liquid state is given energy, it changes its phase from liquid to vapor and the energy absorbed in this process is called heat of the vaporization. The heat of vaporization of the water is about 2260 kJ/kg.
Q = 1.25 [tex]\times[/tex] 2260
Q = 2825 kJ /kg.
What limits current flow or the opposition to the movement of electrons?
Answer:
Resistor
Explanation:
Resistors are measured in ohms . So one ohm is the amount of resistance that opposes current flow from one part of a circuit to another. The voltage v is directly proportional to the current I so , V= IR
Resistance R =
voltage v/ current I
How many electrons in a hydrogen atom?
Answer:
Explanation:
Hydrogen is the first element on the periodic table. That tells you there is 1 electron.
what happens to a circuit's resistance as more resistors are added in series?
Answer:
In a series circuit, adding more resistors increases total resistance and thus lowers current.
What do most stars originally form as?
A. protostars
B. photon stars
C. neutron stars
D. binary stars or multiple stars
Answer:
Protostars
Explanation:
Most stars originally form from protostars.
which graph represents what happens to the pressure in a tire as air is added to the tire, assuming the temperature is constant
The correct option is option A.
Explanation:According to the universal gas equation, the product of the pressure and volume of a gas is directly proportional to the product of the number of moles of gas and the absolute temperature of the gas.
So PV is proportional to nT.
Here, it's said that the temperature of the gas is constant. And inside a tube, the volume of the gas remains constant.
So the pressure of the gas will be directly proportional to the number of moles of gas. So as the number of moles of the gas rises, the pressure of the gas also rises. So, with addition of more gas into tyre, the pressure of gas will also increase.
Answer:
a
Explanation:
gradpoint gang
A person jumps from the roof of a house 3.5-m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of 0.71 m .
If the mass of his torso (excluding legs) is 45 kg , find the magnitude of the average force exerted on his torso by his legs during deceleration.
The person's legs exert a force on his torso during deceleration equivalent to the work they must do to bring his torso's kinetic energy to zero. This force can be calculated using the relationship between work and energy and the mass, height of the fall, and distance over which the force is applied.
Explanation:To find the magnitude of the average force exerted on the person's torso by his legs during deceleration, we need to use the relationship between work and energy, specifically the work-energy theorem. This theorem states that the work done on an object is equal to the change in its kinetic energy.
When the person jumps from the roof, he gains kinetic energy equal to the gravitational potential energy he loses, which can be calculated as mgΔh, where m is the mass of the torso (45 kg), g is the acceleration due to gravity (9.8 m/s²), and Δh is the height of the fall (3.5 m).
This kinetic energy becomes zero when the person's legs decelerate his torso to a stop. The work done by the legs in this process is therefore equal to the kinetic energy the torso had initially, which gives a force F according to the equation W = F⋅d, where W is the work and d is the distance over which the force is applied (0.71 m).
Solving for F we find the average force exerted by his legs during deceleration.
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The problem is about calculating force exerted on a person's torso when he jumps from a certain height. Initially the gravitational potential energy of the person is converted to kinetic energy, and then dissipated as work done when he bends his knees to decelerate. The force can be calculated by first calculating deceleration and then using F=ma, where m is the mass of the torso and a is the deceleration.
Explanation:The subject of your question involves calculating the force exerted on a person's torso by his legs during a jump from a certain height. This is a physics problem related to gravitational potential energy, kinetic energy, and work. Initially, when the person is on top of the roof, the entire energy of the system is gravitational potential energy which can be calculated by the formula: PE = mgh. When the person jumps and hits the ground, this energy transforms into kinetic energy. However, this kinetic energy is not immediately dissipated. Instead, the person bends their knees and decelerates over a certain distance, which implies that the energy is dissipated over a certain period of time or work done. This work done can be calculated by the formula: W = -KE = mgh. The force can therefore be calculated using the formula: F = ma, where a is the deceleration. The deceleration can be obtained from the relation between displacement, initial velocity, final velocity, and acceleration which is (final velocity^2) = (initial velocity^2) + 2*a*d. Here, initial velocity is the velocity with which the person hits the ground and the final velocity is zero as the person completely stops and 'd' stands for the distance over which the person decelerates. Once 'a' is calculated, it can be substituted into the equation F = ma to find the force.
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What is anaerobic exercise?
Answer:
A Brief burst of intense exercise
Explanation:
Apex
The kinetic energy of a ball with the mass of 0.5 kg and a velocity of 10 m/s is what
Answer:
25J
Explanation:
Kinetic energy = 1/2 mv²
Mass = m= 0.5kg
Velocity = v = 10m/s
K. E = 1/2 x 0.5 x 10 x 10
K. E = 0.5 x 5 x 10
K. E = 2.5 x 10
K. E = 25 J
The S. I unit of energy is joules with symbol J
I hope this was helpful, Please mark as brainliest
Answer:
A.) 25j
Explanation:
k= 1/2mv^2
The coil springs on a car's suspension have a value of k = 64000 N/m. When the
car strikes a bump the springs briefly compress by 5.0 cm (.05 m). How much
energy is momentarily stored in each spring?
80 joule is momentarily stored in each spring
Solution:
Given that,
The coil springs on a car's suspension have a value of k = 64000 N/m
When the car strikes a bump the springs briefly compress by 5.0 cm (.05 m)
By compressing the spring, we apply a force over a distance
As a result we have done work on the spring
Doing work means that we have transferred energy to spring in form of elastic potential
Therefore,
k = 64000 N/m
x = 0.05m
The elastic potential energy is given as:
[tex]PE = \frac{1}{2}kx^2[/tex]
Where, "k" is the spring constant and "x" is the displacement
[tex]PE = \frac{1}{2} \times 64000 \times 0.05^2\\\\PE = 32000 \times 0.0025\\\\PE = 80[/tex]
Thus 80 joule is momentarily stored in each spring
The energy momentarily stored in each spring is[tex]\(\frac{1}{2} \times 64000 \times (0.05)^2 = 80\) joules.[/tex]
To find the energy stored in a spring when it is compressed, one can use the formula for elastic potential energy, which is given by:
[tex]\[ U = \frac{1}{2} k x^2 \][/tex]
where U is the elastic potential energy, k is the spring constant, and x is the compression or extension of the spring from its equilibrium position.
Given that the spring constant k is 64000 N/m and the compression x is 5.0 cm (which is 0.05 m when converted to meters), we can substitute these values into the formula:
[tex]\[ U = \frac{1}{2} \times 64000 \times (0.05)^2 \][/tex]
[tex]\[ U = \frac{1}{2} \times 64000 \times 0.0025 \][/tex]
[tex]\[ U = 32000 \times 0.0025 \][/tex]
[tex]\[ U = 80 \][/tex]
Therefore, the energy momentarily stored in each spring is 80 joules.
how much thermal energy is needed to boil 2.65kg of water at its boiling point
Answer:5990 kj
Explanation:
A 4.0kg block is sliding with a constant velocity of 3.0m/s on a frictionless table that is 0.5m high. If all of the block’s energy were kinetic energy, how fast would the block be moving?
Answer:
Velocity = 4.33[m/s]
Explanation:
The total energy or mechanical energy is the sum of the potential energy plus the kinetic energy, as it is known the velocity and the height, we can determine the total energy.
[tex]E_{M}=E_{p} + E_{k} \\E_{p} = potential energy [J]\\E_{k} = kinetic energy [J]\\where:\\E_{p} =m*g*h\\E_{p} = 4*9.81*0.5=19.62[J]\\E_{k}=\frac{1}{2} *m*v^{2} \\E_{k}=\frac{1}{2} *4*(3)^{2} \\E_{k}=18[J]\\Therefore\\E_{M} =18+19.62\\E_{M}=37.62[J][/tex]
All this energy will become kinetic energy and we can find the velocity.
[tex]37.62=\frac{1}{2} *m*v^{2} \\v=\sqrt{\frac{37.62*2}{4} } \\v=4.33[m/s][/tex]