Answer:
1. c
2. e
3. d
Explanation:
1.
From Einstein's Photoelectric Equation, we know that:
Energy given up by photon = Work Function + K.E of Electron
hc/λ = φ + K.E
where,
h = Plank's Constant = 6.626 x 10⁻³⁴ J.s
c = speed of light = 3 x 10⁸ m/s
λ = wavelength of light source = 200 nm = 2 x 10⁻⁷ m
φ = (5.1 eV)(1.6 x 10⁻¹⁹ J/eV) = 8.16 x 10⁻¹⁹ J
Therefore,
(6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(2 x 10⁻⁷ m) - 8.16 x 10⁻¹⁹ = K.E
K.E = (9.939 - 8.16) x 10⁻¹⁹ J
K.E = 1.778 x 10⁻¹⁹ J
The positive answer shows that electrons will be emitted. Since it is clear from the equation the the K.E of electron decreases with the increase in work function. Therefore:
c. less energetic photo-electrons (on average)
2.
The increase in light sources means an increase in the intensity of light. The no. of photons are increased, due to increase of intensity. Thus, more photons hit the metal and they eject greater no. of electrons. Therefore,
e. more photo-electrons ejected
3.
X-rays have smaller wavelength and greater energy than ultraviolet rays. Thus, the photons with greater energy will strike the metal and as a result, electrons with higher energy will be ejected.
d. more energetic photo-electrons (on average)
PLEASE HELP FAST The object distance for a convex lens is 15.0 cm, and the image distance is 5.0 cm. The height of the object is 9.0 cm. What is the height of the image?
Answer:
The image height is 3.0 cm
Explanation:
Given;
object distance, \(d_o\) = 15.0 cm
image distance, \(d_i\) = 5.0 cm
height of the object, \(h_o\) = 9.0 cm
height of the image, \(h_i\) = ?
Apply lens equation;
\(\frac{h_i}{h_o} = -\frac{d_i}{d_o}\\\\ h_i = h_o(-\frac{d_i}{d_o})\\\\h_i = -9(\frac{5}{15} )\\\\h_i = -3 \ cm\)
Therefore, the image height is 3.0 cm. The negative values for image height indicate that the image is an inverted image.
what were formed after the big bang theory?
Answer:
neutrons protons electrons
Explanation:
after the Big Bang, the universe was filled with neutrons, protons, electrons, anti-electrons, photons and neutrinos.
A net force of 500 newtons causes
an object to accelerate at a rate of
5.0 m/s2. What is the mass of the
object?
A - 100 kg
B - .20kg
C - 600 kg
D - 2500 kg
Answer:
The answer is option AExplanation:
To find the mass of an object given it's acceleration and the force acting on it we use the formula
\(mass = \frac{force}{acceleration} \\ \)
From the question
force = 500 N
acceleration = 5.0 m/s²
We have
\(mass = \frac{500}{5} \\ \)
We have the final answer as
100 kgHope this helps you
Why was the geocentric model of our solar system widely accepted until the 16th century?
A.
The model was considered to work in tandem with the ancient Aztec calendar.
B.
Observations had led to the belief that the Sun, Moon, and stars revolved around Earth.
C.
The star catalogue matched the movement of constellations.
D.
No one had yet sailed entirely around Earth to disprove the geocentric model.
The correct answer is B. Observations had led to the belief that the Sun, Moon, and stars revolved around Earth.
The geocentric model, which placed Earth at the center of the universe with the Sun, Moon, and stars revolving around it, was widely accepted until the 16th century for several reasons. One of the primary reasons was that observations seemed to support this view. For example, it was observed that the stars appeared to move across the sky in a circular path, and it was assumed that this was due to their motion around Earth. Similarly, the Sun and Moon appeared to rise and set each day, which was consistent with their motion around Earth.
The geocentric model was consistent with the prevailing philosophical and religious beliefs of the time, which held that Earth was a special and unique place at the center of the universe. It was not until the development of the heliocentric model, which placed the Sun at the center of the solar system, and the refinement of astronomical observations, that the geocentric model was gradually abandoned.
The correct option is B. Observations had led to the belief that the Sun, Moon, and stars revolved around Earth.
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A car with a mass of 1200kg is traveling west at 25 m/s collides head on with highway barrier. The car comes to rest in 0.35 seconds . What is the magnitude of the force and the impulse applied to the car
The magnitude of the force and the impulse applied to the car are 85714 N and 30000 N-s respectively.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
The magnitude of the force applied to the car = change in momentum/time interval
= (1200 kg × 25 m/s - 1200 kg×0)/0.35 second
= 85714 N.
The impulse applied to the car = change in momentum
= (1200 kg × 25 m/s - 1200 kg×0)
= 30000 N-s.
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explain magnetic flux
explain the relationship between distance, time, mass, velocity, and momemtum.
The relationship between distance, time, mass, velocity, and momentum is p = m v = m d / t
p = m v
v = d / t
p = Momentum
m = Mass
v = Velocity
d = Distance
t = Time
p = m v
m v = m d / t
Momentum is the quantity of an object with mass in motion. It is directly proportional to mass and velocity. Velocity is the rate of change of distance with respect to time.
Therefore, the relationship between distance, time, mass, velocity, and momentum is p = m v = m d / t
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If a 900 kg cow stampedes at 10 m/s, what is the cows kinetic energy?
90j
9000j
45,000j
4500j
Answer:
45,000 J
General Formulas and Concepts:
Energy
Kinetic Energy Formula: \(\displaystyle KE = \frac{1}{2}mv^2\)
m is mass (in kg)v is velocity (in m/s)Explanation:
Step 1: Define
Identify variables
[Given] m = 900 kg
[Given] v = 10 m/s
Step 2: Solve for KE
Substitute in variables [Kinetic Energy Formula]: \(\displaystyle KE = \frac{1}{2}(900 \ kg)(10 \ m/s)^2\)Evaluate exponents: \(\displaystyle KE = \frac{1}{2}(900 \ kg)(100 \ m^2/s^2)\)Multiply: \(\displaystyle KE = (450 \ kg)(100 \ m^2/s^2)\)Multiply: \(\displaystyle KE = 45000 \ J\)Visible light travels at a speed 3.0 × 108 of m/s. If red light has a wavelength of 6.5 × 10–7 m, what the frequency of this light?
Answer:
speed /wavelength = frequency
f = 3×10*8 /6.5×10*7
f = 4.62
Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?
OF
The mass of Car B is -6000 kg.
To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
Therefore, we can write the equation for the conservation of momentum as:
(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision
Let's substitute the given values into the equation:
(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)
Simplifying the equation:
20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)
Dividing both sides by -5 m/s:
-4000 kg = 2000 kg + mass of Car B
Subtracting 2000 kg from both sides:
mass of Car B = -4000 kg - 2000 kg
mass of Car B = -6000 kg
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A student drops three blocks from the same height and measures the time it takes for the locks to hit the ground. Each block has a different mass.
The dependent variable in this experiment is: D. the time for the blocks to hit the ground.
What is an experiment?An experiment can be defined as a scientific investigation which typically involves the process of manipulating an independent variable (the cause), so as to determine or measure the dependent variable (the effect).
The types of variables.In every experiment, there are two (2) main types of variables and these include the following:
Dependent variableIndependent variableIn this scenario, we can infer and logically deduce that the dependent variable in this experiment is the time for the blocks to hit the ground because it signifies the effect of the independent variable (three blocks).
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Complete Question:
A student drops three blocks from the same height and measures the time it takes for the blocks to hit the ground. Each block has a different mass.
What is the dependent variable in the experiment?
A. the volume of the blocks
B. the drop height
C. the mass of the blocks
D. the time for the blocks to hit the ground
What are the x and y components of the plane's velocity?
The x and y components of the plane's velocity is:
Vx = 38.6 m/sVy = 10.4 m/s1. How do I determine the horizontal component (Vx) of the velocity?
We can obtain the horizontal component (Vx) of the velocity as illustrated below:
Initial velocity (u) = 40 m/sAngle of projection (θ) = 15 °Horizontal component of velocity (Vx) =?Vx = u × Cosθ
Vx = 40 × Cos 15
Vx = 38.6 m/s
Thus, the horizontal component (Vx) of velocity is 38.6 m/s
2. How do I determine the vertical component (Vy) of the velocity?
The vertical component (Vy) of the velocity can be obtained as
Initial velocity (u) = 40 m/sAngle of projection (θ) = 15 °Vertical component of velocity (Vy) =?Vy = u × Sine θ
Vy = 40 × Sine 15
Vy = 10.4 m/s
Thus, the vertical component (Vy) of velocity is 10.4 m/s
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9. What's the process that a spark represents?
A. A body with a strong positive charge is placed near a body with a neutral charge and the electrons jump between the two bodies
B. A body with a strong positive charge is placed near a body with a strong negative charge and the electrons jump between the two
C. A body with a neutral charge is placed near a body with a strong negative charge and the electrons jump between the two bodies
D. A body with a strong positive charge is placed near a body with a strong positive charge and the electrons jump hatupon the. The answer
Answer:
Sparks often indicate the presence of a high voltage, or "potential field". The higher the voltage; the farther a spark can jump across a gap, and with enough energy supplied can lead to greater discharges such as a glow or an arc.
Explanation:
How does solar weather affect Earth’s magnetosphere? Select the two correct answers.
It causes geomagnetic storms.
It generates auroras.
It develops solar wind.
It forms radiation belts.
An object is projected from a height of 100m above the ground at an angle of 300to the
horizontal with a velocity of 100m/s.
Calculate
(4)
(4)
The maximum height reached above the ground
Time of flight
The velocity and the direction of the object 1 sec before it hit the ground
(4)
Answer:
a) y = 127.6 m, b) 11.9s, c) v = 103.6 m / s, θ’= 326.7º
Explanation:
This is a missile throwing exercise
let's start by breaking down the initial velocity
sin 30 = \(\frac{v_{oy} }{v_o}\)
cos 30 = v₀ₓ / v₀
v_{oy} = v₀ go sin 30
v₀ₓ = v₀ cos 30
v_{oy} = 100 sin 30 = 50 m / s
v₀ₓ = 100 cos 30 = 86.6 m / s
a) the maximum height is requested.
At this point the vertical velocity is zero (v_y = 0)
v_y² = \(v_{oy}^2\) - 2 g y
0 = v_{oy}^2 - 2g y
y = \(\frac{v_{oy}^2 }{2g}\)
y = 50² / (2 9.8)
y = 127.6 m
b) Flight time
this is the time it takes to reach the ground, the reference system for this movement is taken on the ground this is a height of y = 0 m and the body is at an initial height of i = 100m
y = y₀ + v₀ t - ½ g t²
0 = 100 + 50 t - ½ 9.8 t²
we solve the quadratic equation
4.9 t² - 50 t - 100 = 0
t = \(\frac{50 \pm \sqrt{50^2 + 4 \ 4.9 \ 100} }{2 \ 4.9}\)
t = \(\frac{50 \ \pm \ 66.8}{9.8}\)
t₁ = 11.9 s
t₂ = -8.4 s
flight time is 11.9s
c) The time 1 s before hitting the ground is
t1 = 11.9 -1
t1 = 10.9 s
let's find the vertical speed
v_y =\(v_{oy}\) - g t
v_y = 50 - 9.8 10.9
v_y = -56.8 m / s
the negative sign indicates that the direction of the velocity is downward.
On the x-axis there is no acceleration therefore the speed is constant.
Let's use the Pythagorean theorem
v = \(\sqrt{v_x^2+v_y^2}\)
v = \(\sqrt { 86.6^2 + 56.8^2}\)
v = 103.6 m / s
let's use trigonometry
tan θ = \(\frac{v_y}{v_x}\)
θ = tan⁻¹ \frac{v_y}{v_x}
θ = tan⁻¹ (-56.8 / 86.60)
θ = -33.3º
the negative sign indicates that it is measured clockwise from the x-axis
for a counterclockwise measurement
θ’= 360 - θ
θ' = 360 - 33.3
θ’= 326.7º
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
A. The average speed you can use to pull the safe is 1.02 m/s
B. The time needed to pull the safe up is 17.65 s
A. How do i determine the velocity?First, we shall obtain the force. This is shown below:
Mass of safe (m) = 60 KgAcceleration due to gravity (g) = 9.8 m/s² Force (F) =?F = mg
F = 60 × 9.8
F = 588 N
Finally, we shall obtain the average speed. Details below:
Power = 600 WForce = 588 NAverage speed =?Power = force × average speed
600 = 588 × average speed
Divide both sides by 588
Average speed = 600 / 588
Average speed = 1.02 m/s
B. How do i determine the time?The time needed to pull the safe up can be obtained as follow:
Average speed = 1.02 m/sTotal distance = 18 mTime = ?Time = Total distance / average speed
Time = 18 / 1.02
Time = 17.65 s
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Complete question:
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
Part B
What is the time needed to pull the safe up?
Two tuning forks with frequencies of 256 Hz and 512 Hz are struck. Which of the sounds will move faster through the air?
Answer:
Two tuning forks with frequencies of 256 Hz and 512 Hz are struck. Which of the sounds will move faster through the air? Neither, the speed of sound is constant in air.
An unknown radioactive sample is observed to decrease in activity by a factor of two in a one hour period. What is its half-life?
Answer:
The half-life is \( t_{1/2} = 1.005 h\)
Explanation:
Using the decay equation we have:
\(A=A_{0}e^{-\lambda t}\)
Where:
λ is the decay constantA(0) the initial activityA is the activity at time tWe know the activity decrease by a factor of two in a one hour period (t = 1 h), it means that \(A = \frac{A_{0}}{2}\)
\(\frac{A_{0}}{2}=A_{0}e^{-\lambda*1 h}\)
\(0.5=e^{-\lambda*1 h}\)
Taking the natural logarithm on each side we have:
\(ln(0.5)=-\lambda\)
\(\lambda=0.69 h^{-1}\)
Now, the relationship between the decay constant λ and the half-life t(1/2) is:
\(\lambda = \frac{ln(2)}{t_{1/2}}\)
\( t_{1/2} = \frac{ln(2)}{\lambda}\)
\( t_{1/2} = \frac{ln(2)}{0.69}\)
\( t_{1/2} = 1.005 h\)
I hope it helps you!
An acid:decreases the amount of ions in a water solution.feels slippery to the touch, like soap.will have a higher pH than a base.None of the choices are correct.
From the given options, let's select the correct Answer choice.
An acid can be said to be any substance containing hydrogen which can be able to donate hydrogen ions to another substance.
An acid does not feel slippery, rather it just feels wet. It is a base that is slippery.
An acid has a lower pH when compared to a base. pH less than 7 indicates acidity while pH greater than 7 indicates a base.
When an acid is added to water, the hydroxide ion concentration will reduce and the pH of yhe solution increases towards 7.
Therefore, an acid decreases the amount of ions in a water solution.
ANSWER:
a). Decreases the amount of ions in a water solution.
Find the vector whose magnitude is 5 and which is in the direction of the vector 4i -3j +k
The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
To solve this problemThe given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:
The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:
Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26
Normalize the vector by dividing each component by the magnitude:
Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k
Multiply the normalized vector by the desired magnitude:
To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:
Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)
Simplifying the expression gives:
Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k
So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
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Identify the following compounds as polar covalent or nonpolar covalent: HBr, Cl2, and H2O.
Answer:
HBr- polar covalent
Cl2 - nonpolar covalent
H2O - polar covalent
Explanation:
Covalent bonds are chemical bonds that holds atoms of elements in such a way that electrons are shared between the atoms. However, based on the electronegativity differences between elements, compounds can either be polar covalent or nonpolar covalent.
Polar covalent bonds are formed when electrons are unevenly shared between two atoms based on difference in their electronegativities i.e. the more electronegative atom pulls more of the electrons. For example, in the case of HBr and H2O, Bromine and Oxygen atoms are more electronegative, hence, they pull more electrons making the electron sharing unequal, hence, a POLAR COVALENT BOND forms.
Non polar covalent bonds, contrarily, occurs when electrons are shared equally or evenly. This is so because the atoms of the elements involved have the same electronegativity. For example, Cl2 contains two atoms of Chlorine (Cl), which has the same electronegativity, hence, electrons between the two atoms are shared equally to form a NONPOLAR COVALENT BOND
HBr is polar covalent, Cl₂ - nonpolar covalent and H₂O is polar covalent in nature.
What is a polar covalent bond?When atoms with differing electronegativities share electrons in a covalent link, the result is a polar covalent bond.
Consider the molecule of hydrogen chloride (HCl). In order to generate an inert gas electron configuration, each atom in HCl requires one extra electron.
Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.
Compounds can be polar covalent or nonpolar covalent depending on the electronegativity variations between components.
When electrons are unevenly divided between two atoms due to differences in their electronegativities, polar covalent connections are created.
The more electronegative atom draws more electrons. In the case of HBr and H2O, for example, the Bromine and Oxygen atoms are more electronegative,
Therefore they draw more electrons, causing the electron sharing to be uneven, resulting in the formation of a polar covalent bond.
Hence HBr is polar covalent, Cl₂ - nonpolar covalent and H₂O is polar covalent in nature.
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Why is the Falcon 9 rocket so important in today's space exploration world?
It's the first rocket to have been built by robots, saving money for labor costs.
Carbon fiber is used on the outside, making it much more lightweight, requiring less fuel to launch it.
It was invented with the ability to recharge itself by using solar panels.
It's a reusable rocket and has saved money by being reused over 60 times already.
The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.
option D.
Why is the Falcon 9 rocket so important in today's space exploration world?The Falcon 9 rocket, is developed by SpaceX, and it holds a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;
ReusabilityCost-effectivenessAdvancements in rocket technologyPayload capacity and versatilityInnovation and competitionFrom the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.
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Detlev walks 1000 meters north to the store and walks back 900 meters south to his friends house. The friends house is 100 meters to the north of Detlev’s house. What was Detlev’s Travel Distance?
How to find the angle in a projectile motion when displacement and heigh are the same
projectile's vertical speed v yv y v, start , y, drops prior to reaching its maximum height since its acceleration is in the opposite direction. Since the object's height is rising, the initial direction of the velocity is upward
.
At the projectile's highest point, vertical velocity zeroes out. After reaching the highest point, the vertical speed increases due of the same-direction acceleration. As the object's height lowers, the vertical velocity has a downward direction.
In projectile The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.
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Rhea is driving north in a straight line. After driving for 2.4 kilometers, she turns west, and drives for 3.1 km. At the end of her drive, what is the magnitude of her displacement vector? To find the magnitude of a resultant vector, use the Pythagorean theorem: a² + b² = c² A) 3.9 km B) 5.5 km (this one is incorrect) C) 2.8 km D) 2.3 km
Option A) 3.9 km is the correct answer. the magnitude of Rhea's displacement vector is approximately 3.92 km.
In order to find out the magnitude of Rhea's displacement vector, we have to add up all of the displacement vectors.
Then we can use the Pythagorean theorem to calculate the magnitude of the resultant vector.
Since Rhea is first driving north for 2.4 km and then west for 3.1 km, we can represent her displacement vectors as follows: Δx = 0 km and Δy = 2.4 km for the first vector, and Δx = -3.1 km and Δy = 0 km for the second vector.
We can then add these vectors together by adding their components: Δx = 0 km + (-3.1 km) = -3.1 km and Δy = 2.4 km + 0 km = 2.4 km.
This gives us a resultant vector of -3.1 km east and 2.4 km north.
Using the Pythagorean theorem, we can find the magnitude of this vector: \(\sqrt{(\(-3.1 km)^{2} + (2.4 km)^{2} ) } = \sqrt{(9.61 + 5.76) km^{2} } = \sqrt{15.37 km^{2} } \approx 3.92 km.\)
Therefore, the magnitude of Rhea's displacement vector is approximately 3.92 km.
Therefore, option A) 3.9 km is the correct answer.
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A car has 10,800 kg m/s of momentum as it collides with a trash dumpster AT REST.
How much TOTAL MOMENTUM will the car and dumpster have after collision?
Answer:
10800 kg m/s
Explanation:
Since the dumpster was initially at rest, its momentum before collision equal to zero. So that the total momentum of the car and dumpster before collision is 10800 kg m/s.
The principle of conservation of linear momentum states that: in a system of colliding bodies, total momentum is conserved. Therefore, the total momentum of the car and dumpster after collision is 10800 kg m/s.
Question 23 of 33 Which phrase best describes when kinetic friction occurs? A. When two surfaces are moving relative to each other B. When one object is resting on another C. When two surfaces are in contact but not moving relative to eatn other D. When balanced forces are acting on an object
Answer:
A. When two surfaces are moving relative to each other.
Explanation:
It is also know as dynamic friction
which of these situations corresponds to n independent bernoulli trials having the same probability p of success?
The probability mass function is obtained as:
\(p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12\)
Outcome is,
\(n=12 \\ p=0.4\)
Let X be discrete random variable which takes value \($i=1,2 \ldots$\).
Now the probability of mass function at point is is given by:
\(p(x=p)=p\left(x_i\right)=F\left(x_i\right)-F\left(x_{(i-1)}\right)\)
By using Bernoulli's random variable:
\(P(x=x)=p^x(1-p)^{1-x} x=0,1\)
where as \($x=0 \Rightarrow$\) corresponds to failure
\($x=1 \Rightarrow$\) correspond to Success
p is probability function of Success.
Therefore the total number of Success in ' n ' independent Bernoulli trials is Sum of ' n ' bernoulis random variable which gives binomial distribution.
By using multiplication rule the probability of observing ' x 'Successes in ' n ' independent bernoulli trials it can be written as:
\(\underbrace{p \times p \times \ldots \times p}_{x \text { times }} \times(\underbrace{() 1-p) \times(1-p) \times \ldots \times(1-p)}_{n-x \text { times }}\)
The probability mass function :
\(p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12\)
where as
\(n=12 \\ p=0.4\)
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Note:- The question is as follow,
Consider the probability space \($(S, M, P)$\) that models the observed proportion of successes in n independent Bernoulli trials with probability of success equal to p. For example, given n=12 and p=0.4, the outcome \(\frac{5}{12}=.41 \overline{6} \:in $(S, M, P)$\) should have the same probability as the outcome of 5 successes in 12 independent Bernoulli trials with probability of success equal to 0.4. Give a formula for the density function f(s) for this probability space in terms of the density \($f_{n, p}$\) of the binomial distribution with size n and probability p. ( points)
Question 3 of 15
Which of the following statements are not true about gravity? Check all that
apply.
A. Gravity exists in the whole universe.
B. Gravity exists only on Earth.
C. Gravity is a force that pulls two objects together.
D. Gravity exists between two objects that have mass.
E. Gravity doesn't exist between Earth and the sun.
The statement "B. Gravity exists only on Earth" and the statement "E. Gravity doesn't exist between Earth and the sun" is not true about gravity.
Gravity is a fundamental force of nature that exists in the whole universe, not just on Earth. It is a force that acts between any two objects that have mass. This means that statement "C. Gravity is a force that pulls two objects together" and "D. Gravity exists between two objects that have mass" are both true. Gravity plays a significant role in the functioning of our solar system. The sun's gravitational force acts on the planets, including Earth, keeping them in their orbits. Similarly, Earth's gravitational force attracts objects towards its center, giving weight to objects on its surface. Gravity is the force that holds Earth in orbit around the sun and is responsible for the planets' motion in the solar system. Gravity is a universal force that exists throughout the universe, acts between objects with mass, and plays a crucial role in celestial bodies' movements, including the interaction between Earth and the sun.
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Mention four factors on which the amount of precipitation intercepted by vegetal cover depend on
Precipitation amount, storm frequency, and severity, storm duration, kind of precipitation, wind during storm, and wind during evaporation are the main precipitation and storm elements that influence interruption loss (Kenneth, 1996).
What does it signify when vegetation blocks precipitation?All procedures that stop rainfall from instantly reaching the soil are referred to as interceptions. The two main ways that vegetation intercepts water are by catching it on leaf surfaces throughout the canopy and by depositing litter on the ground.
Intercepted precipitation: What is it?Precipitation that is intercepted by leaves, plant branches, and the forest floor prevents it from reaching the soil and instead stays on the surface.
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