Given:
Mean of the distribution = 190.3
Standard deviation = 19.8
Let's use the emperical rule to find the best value for the percentage of the area under the curve that is shaded.
Using the emperical rule, we can see that 68% of the area under the curve is shaded.
Let u, w and v represent the missing values.
Where u is the first, v is the second and w is the last missing value.
SInce is area under the curve is about 68%, that means it falls within the first standard deviation of the mean.
To find the missing value, apply the formula:
u = mean - standard deviation
v = mean
w = mean + standard deviation.
Hence, we have:
• u = 190.3 - 19.8 = 170.5
• The middle missing value is the mean since it is the highest point.
Therefore, the middle missing value is 190.3
• w = 190.3 + 19.8 = 210.1
Therefore, the missing values along the axis are:
170.5, 190.3, and 210.1
ANSWER:
Percentage of total shaded area = 68%
Missing values = 170.5, 190.3, and 210.1
what happen to kinetic energy of a body if it speed is doubled
Answer:
The energy possessed by a body because of its motion, equal to one half the mass of the body times the square of its speed is called its kinetic energy. Hence, when velocity is doubled, kinetic energy becomes 4 times.
Explanation:
the expression like a ton of bricks means very hard would being hit by an actual ton of brick ls hurt?
Answer:
well bricks are heavy so yeah i guess so if you have a ton of them dropped on you lol
Explanation:
Theory of uniform accelerated motion lab reports
The theory of uniform accelerated motion states that the movement of an element is constant in the same acceleration conditions.
What is the theory of uniform accelerated motion?The theory of uniform accelerated motion is a scientific statement regarding the acceleration of an object in steady conditions.
This theory (uniform accelerated motion) is fundamentally applied in physic and astrophysics.
In conclusion, the theory of uniform accelerated motion states that the movement of an element is constant in the same acceleration conditions.
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Approximately how many times louder is a 150-dB sound than a 80-dB sound?
a 150-dB sound is approximately 10 million times louder than an 80-dB sound.
What is the range of sound?Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:
Waves that fall inside the ear's sensitivity range are referred to be audible waves.Infrasonic waves are those whose frequencies fall below the range of human hearing. Ultrasonic waves are those with frequencies higher than those of sound.The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:
dB₂ - dB₁ = 10 log10(I₂ / I₁)
where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).
Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:
150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)
70 = 10 log10(I₁₅₀ / I₈₀)
7 = log10(I₁₅₀ / I₈₀)
10^7 = I₁₅₀ / I₈₀
I₁₅₀ = 10^7 * I₈₀
This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.
Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.
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If the error in the angle is 0.50, the error in sin 90° is
The error in the measurement of sin 90 degrees at the given error in angle is 0.001.
Error in measurementThe error in measurement is obtained from the difference between the actual measurement and the observed measurement.
The error of sin 90 degrees is calculated as follows;
Actual measurement = sin 90 = 1
Observed measurement = sin(90 - 0.5)
Observed measurement = sin(89.5) = 0.999
Error in measurement of sin 90 degreesError in measurement = Actual measurement - Observed measurement Error in measurement = 1 - 0.999
Error in measurement = 0.001
Thus, the error in the measurement of sin 90 degrees at the given error in angle is 0.001.
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Help me please I need it as soon as possible
Answer: B im sorry if its wrong
Explanation:
A man is bow fishing from a dock. Part A To hit a fish that he sees beneath the water, where should he aim? To the right of the fish Above the fish Below the fish Directly at the fish Submit Request Answer
To hit a fish that he sees beneath the water, he should aim directly at the fish.
How then do you aim a laser beam to shoot fish under water?We'll view the fish a little bit above that it is because of refraction.Therefore, aim your arrow and bow under it (which is its true depth).On the other side, the laser beam will experience refractive error as it reaches the water.Therefore, we should direct the laser beam directly onto the fish.
What purpose does water serve?The foundation of human civilisation is water.Societies have advanced throughout history by increasing access to clean drinking water as drinking, sanitation, and agriculture, as well as by purifying water to benefit public health and the environment.
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why fan videos be streamed from the cloud to a computer with no lost quality
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
How do digital signals work?
An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.
Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
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1.)
a.) If 1 km = 1,000 m and 1 m = 1,000 mm, Convert 2.0 x 10⁶ mm into the equivalent value in km.
b.) There are 1,760 yards in a mile and 0.621 miles in 1 km. If you sprinted the equivalent of 20 football fields (each 100 yrds long), how many miles did you sprint?
c.) If there are 1.609 km in a mile, convert 135 miles/hour into meters per second. (There are 1000 m in a kilometer.)
what determines the magnification of an imagev
measure:what the current values of
Answer:
The magnification of an image is equal to the ratio of the image height to the object height.
Psi(x) = (alpha/pi) ^ (1/4) * e ^ (- (alpha * x ^ 2)/2)
Find wave function of
(Px)*2
(Pls if you know the answer writ it on the paper to be clear )
Note that the wave function of (Px)^2 is given by: (Px)^2 Psi(x) = (h^2/4π^2) [(3α^2 x^2 - α) (α/π)^(1/4) e^(-αx^2/2)]
What is the explanation for the above response?To find the wave function of (Px)^2, we need to use the momentum operator, which is represented by Px = -i(h/2π) d/dx.
First, let's find the wave function of Px, which is given by:
Px Psi(x) = -i(h/2π) d/dx [Psi(x)]
= -i(h/2π) [-αx Psi(x) + (α^2 x) Psi(x)]
Now, we can find the wave function of (Px)^2 by squaring the wave function of Px:
(Px)^2 Psi(x) = (-i(h/2π) d/dx) (-i(h/2π) d/dx) Psi(x)
= (h^2/4π^2) [α^2 x^2 Psi(x) - 2α x d/dx(Psi(x)) + (d^2/dx^2)(Psi(x))]
Substituting Psi(x) = (α/π)^(1/4) e^(-αx^2/2) into the above expression, we get:
(Px)^2 Psi(x) = (h^2/4π^2) [(3α^2 x^2 - α) (α/π)^(1/4) e^(-αx^2/2)]
Therefore, the wave function of (Px)^2 is given by:
(Px)^2 Psi(x) = (h^2/4π^2) [(3α^2 x^2 - α) (α/π)^(1/4) e^(-αx^2/2)]
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You may have noticed that rarely, if ever, was the puck's center exactly on a given arc. Thus, there is uncertainty (or error, if you prefer) in the frame values that you stated. You must determine what is a reasonable frame uncertainty. In other words: with regards to when the puck's center was exactly on a given arc, by how much could your stated frame value be off by? Bear in mind that this value does not have to be an integer. Additionally you must also determine o, (displacement uncertainty).
The frame uncertainty depends on various factors such as the quality of the video equipment used, the stability of the platform, the lighting conditions, etc.
What is reasonable frame uncertainty?The displacement uncertainty (o) would be proportional to the frame uncertainty, as it is determined by the distance traveled by the puck in a certain number of frames.
The displacement uncertainty would also depend on the speed of the puck, as well as the accuracy of the measurement of the length of the arc. In general, a reasonable value for o would be on the order of a few millimeters.
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what role do control groups play
Answer:
Control groups let the one who is expermenting compare the effect of the varibles in the expermental group.
Explanation:
Brainlist!! Help!! Atom A consists of 10 protons, 12 neutrons, and 10 electrons.
Atom B consists of 10 protons, 10 neutrons, and 12 electrons.
The atoms are isotopes of each other.
The atoms are not isotopes of each other.
Answer:
They are isotopes of each other
Explanation:
Isotopes are atoms of the same element that have the same number of protons but different numbers of neutrons.
For atom A and atom B, their number of protons is the same (10)
But their number of neutrons is different (12) and (10)
Does Light Transmission in oxygen ?
If 500 mL is infused over 2 days, what is the flow rate (gtts/min)? The calibration of the tubing is 15 gtts/mL. (Round to the nearest hundredth mL with no units!)
Explanation:
500 ml * 15 dtts/ml / ( 24 hrs/ day * 2 days * 60 min / hr ) = 2.6 gtts/min
why do astronauts weigh less on the moon than on earth
Answer:
Explanation: The moon of the Earth is much lighter in mass than the planet itself. In addition to being smaller than Earth, the Moon is also only approximately 60% as dense. A human weighs less on the Moon because there is less gravitational attraction there than there is on Earth.
Moon has lesser mass as conpared to earth, therefore gravitational force exerted by moon on any object is lesser than that of gravitational force exerted by earth on the same object, hence we can say that astronauts weight less on moon, i.e approximately 1/6 th of their weight on earth.
who compose the Ghana national anthem
Answer:
Philip Gbeho
Explanation:
Two identical metallic spheres A and
B, each carrying a charge of q C, are fixed.
They repel each other with a force of
2x10-5 N. Another identical uncharged
sphere C is made to touch A, moved to
touch B, and placed halfway between A
and B. What is then the electric charge
and the electric force (in N) on each
sphere in terms of q?
The electric charge and the electric force on each sphere in terms of q is 2
The Electric Charge and Electric ForceThe ability of particles or objects to attract or repel one another without coming into contact is known as electric charge. Incompatiblely charged particles are drawn to one another. Like-charged particles repel one another. Electric force is the name given to the force of attraction or repulsion.
Two metallic spheres, a and b, with a charge of half and a force of two tens of five
F1=k(1/2)(1/2)/r2
Equation F1=k/4r
A and C are two metallic spheres, respectively, so
Equation F2=k/2rsquare
equ1/equ2
2×10^-5/F2=k/4r^2×2r^2/k
F2=4×10^-5
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4. A 40.0 kg child swings in a swing supported by two chains, each 3.00 m long. If the tension in each at the lowest point is 350N, find (i) The child’s speed at the lowest point ,
The child's speed at the lowest point is 5.42 m/s.
At the highest point of the swing, the child is momentarily at rest and has only potential energy. At the lowest point, the child has only kinetic energy.
Using the conservation of mechanical energy, we can write:
Potential energy at highest point = Kinetic energy at lowest point
mgh = (1/2)mv²
where m is the mass of the child, g is the acceleration due to gravity, h is the height of the swing at the highest point, and v is the speed of the child at the lowest point.
First, we need to find the height of the swing at the highest point. Since the swing is supported by two chains, the height of the swing at the highest point is half the length of the chains:
h = (1/2)3.00 m = 1.50 m
Next, we can solve for the child's speed at the lowest point:
mgh = (1/2)mv²
40.0 kg * 9.81 m/s² * 1.50 m = (1/2) * 40.0 kg * v²
588 J = 20.0 kg * v²
v² = 29.4 m²/s²
v = 5.42 m/s
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Fill in the blanks for the following nuclear reactions.
1. 32 S + 4 He → _____
2. ____ + 4 He → 40 Ca
3. 40 Ca + 4 He → ______
4. _____ + 4 He → 48 Cr
5. 48 Cr + 4 He → _____
Explain, in terms of the air molecules, why the pressure at the top of a mountain is less
than at sea level.
For 3 marks
Paola can flex her legs from a bent position through a distance of 20.1 cm. Paola leaves the ground when her legs are straight,
at a speed of 4.00 m/s.
Calculate the magnitude ay of her acceleration, assuming that it is constant.
Answer:
Magnitude of Paula’s acceleration\($a=39 \cdot 8m/sec^{2}$.\)
Explanation:
• An object is said to be accelerated if there is a change in its velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction at that point.
• To find the magnitude of her acceleration, use the formula: \($${v^2} = {u^2} + 2as$$\)
Where, is final velocity, is initial velocity, is acceleration and is displacement.
• Placing the value of the given initial velocity, \($u=0m/s$\), displacement, \($s = 0 \cdot 201m$\) and the final velocity,\($v = 4m/s$\) in the above formula.
\(\[\begin{align}& \therefore{v^2} = {u^2} + 2as \\& \Rightarrow {\left( 4 \right)^2} = 0+ 2\left( a \right) \left( { 0 \cdot 201} \right) \\& \Rightarrow 16 = 0 \cdot 402a \\& \Rightarrow a = 39 \cdot 8m/sec^{2} \\\end{align}\]\)
\(\[& \therefore{v^2} = {u^2} + 2as \\& \Rightarrow {\left( 4 \right)^2} = 0+ 2\left( a \right) \left( { 0 \cdot 201} \right) \\& \Rightarrow 16 = 0 \cdot 402a \\& \Rightarrow a = 39 \cdot 8m/sec^{2} \\\]\)
• Hence, magnitude of her acceleration, \($a=39 \cdot 8m/sec^2$\)
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The third equation of free fall can be applied to determine the acceleration. So that Paola's acceleration during the flight is 39.80 m/\(s^{2}\).
Acceleration is a quantity that has a direct relationship with velocity and also inversely proportional to the time taken. It is a vector quantity.
To determine Paola's acceleration, the third equation of free fall is appropriate.
i.e \(V^{2}\) = \(U^{2}\) ± 2as
where: V is the final velocity, U is the initial velocity, a is the acceleration, and s is the distance covered.
From the given question, s = 20.1 cm (0.201 m), U = 4.0 m/s, V = 0.
So that since Poala flies against gravity, then we have:
\(V^{2}\) = \(U^{2}\) - 2as
0 = \((4)^{2}\) - 2(a x 0.201)
= 16 - 0.402a
0.402a = 16
a = \(\frac{16}{0.402}\)
= 39.801
a = 39.80 m/\(s^{2}\)
Therefore Paola's acceleration is 39.80 m/\(s^{2}\).
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A generator transforms?
A seated musician plays a C4 note at 262 Hz . How much time Δ does it take for 346 air pressure maxima to pass a stationary listener?
Answer:
t = 1.32 s
Explanation:
We are given;. Frequency of C4 note; F_c = 262 Hz
In conversions, we know that 1 Hz = 1 cycle/s
Thus, F_c = 262 cycles/s
Now, we want to find out how much time it takes for 346 air pressure maxima to pass a stationary listener.
346 air pressure maxima denotes that the air pressure maxima is 346 cycles.
Thus, time will be;
t = 346 cycles/262 cycles/s
t = 1.32 s
The time taken for the musical note to pass the stationary listener is 1.32 s.
The given parameters:
frequency of the C4 note, f = 262 Hzair pressure maximum, n = 346The frequency of a sound wave is defined as the number of cycles completed per second by the wave.
\(F = \frac{n}{t}\)
where;
t is the time to compete the maximum cycleThe time taken for the musical note to pass the stationary listener is calculated as follows;
\(262 = \frac{n}{t} \\\\t = \frac{n}{262} \\\\t = \frac{346}{262} \\\\t = 1.32 \ s\)
Thus, the time taken for the musical note to pass the stationary listener is 1.32 s.
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How do i solve this problem? Hint: The cannonball is being launched vertically upwards, therefore, there is no initial horizontal speed. The given initial speed will also be the initial vertical speed.
The initial velocity of the ball is given as 36.0 m/s.
The horizontal component of velocity of ball is given as,
\(v_x=v\cos \theta\)The ball is projected vertically, therefore, the angle made by ball is 90 degree.
Plug in the known values,
\(\begin{gathered} v_x=(36.0m/s)cos90^{\circ} \\ =(36.0\text{ m/s)(0)} \\ =0\text{ m/s} \end{gathered}\)Therefore, the initial horizontal velocity of ball is 0 m/s.
The vertical component of velocity of ball is given as,
\(v_y=v\sin \theta\)Plug in the known values,
\(\begin{gathered} v_y=(36.0m/s)\sin 90^{\circ} \\ =(36.0\text{ m/s)(1)} \\ =36.0\text{ m/s} \end{gathered}\)Therefore, the initial vertical velocity of the ball is 36.0 m/s.
a car is moving 5.82 m/s when it accelerates at 2.35 m/s2 for 3.25, what is its final velocity
The final velocity of the car can be calculated using the formula: final velocity = initial velocity + acceleration * time. Plugging in the values you provided, we get: final velocity = 5.82 m/s + 2.35 m/s² * 3.25 s = 13.44 m/s.
An object of a mass 1.50 kg is suspended from a rough pulley of a radius 30.0 cm by light stirring as shown in Figure 1. This pulley has a moment of inertia 0.030 kg m² about the axis of the pulley. The object is released from rest and the pulley rotates without encountering frictional force. Assume that the string does not slip on the pulley, Determine
a) the angular acceleration of the pulley
b) the tension in the string
Newton's second law allows us to find the results for the tension of the rope and the angular acceleration of the body are
a) The angular acceleration is α = 26.7 rad / s²
b) The tension of the rope T = 2.67 N
Given parameters
The mass of the block m = 1.50 kg The radius of the pulley R = 0.30 m The moment of inertia I = 0.030 kg m²To find
Angular acceleration The tension of the rope
Newton's second law indicates that the net force is proportional to the product of the mass and the acceleration of the bodies
∑ F = m a
Where the bold letters indicate vectors, F is the external forces, m the mass and the acceleration of the body
A free body diagram is a diagram of the forces without the details of the bodies, in the attached we see a free body diagram of the system
Let's apply Newton's second law to the block
W - T = m a
Body weight is
W = mg
Let's substitute
mg - T = ma (1)
The pulley is a body that is in rotational motion so we use Newton's second law for rotation
Σ τ = I α
Where τ is the torque, I the moment of inertia and α the angular acceleration
In this case the reference system is located at the turning point
T R = I α
T = \(\frac{I \alpha }{R}\)
Linear and angular variables are related
a = α R
We substitute in equation 1 and write the system of equations
mg - T = m α R
T = \(\frac{I \alpha }{R}\)
We resolve
mg = α (m R + I / R)
α = \(\frac{g}{R + \frac{I}{mR} }\)
We calculate
α = \(\frac{ 9.8}{ 0.30+\frac{0.030}{1.50 \ 0.30} }\)
α = 26.7 rad / s²
Let's calculate the tension of the rope
T = \(\frac{I \alpha }{R}\)
T = \(\frac{0.030 \ 26.7 }{0.30}\)
T = 2.67 N
In conclusion with Newton's second law we can find the results for the tension of the rope and the angular acceleration of the body are
a) The angular acceleration is alpha = 26.7 rad / s²
b) The tension of the rope T = 2.67 N
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Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 5.20m away from the slits.
1. Which laser has its first maximum closer to the central maximum?
2. What is the distance Δymax--max between the first maxima (on the same side of the central maximum) of the two patterns?
3. What is the distance Δymax-min between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum?
Answer:
1) aser 1 has the maximum closest to the center
2) Δy = 0.0866 m , 3) Δy = 0.693 m
Explanation:
The interference phenomenon is described by the expression
d sin θ = m λ for constructive interference
d sin θ = (m + ½) λ for destructive interference
We can use trigonometry to find the angle
tan θ = y / L
in trigonometry experiments the angles are small
tam θ = \(\frac{sin \theta}{cos \theta} = sin \theta\)
sin θ = y / L
we substitute
d y / L = m λ (1)
1) Let's find the first maximum that corresponds to m = 1 for each laser
laser 1 λ = d / 20
d y₁ / L = 1 d / 20
y₁ = L / 20
y₁ = 5.20 / 20
y₁ = 0.26 m
Laser 2 λ= d / 15
d y₂ / L = 1 d / 15
y₂ = d / 15
y₂ = 5.20 / 15
y₂ = 0.346 m
Therefore laser 1 has the maximum closest to the center
2) the difference between these maxima
Δy = y₂ - y₁
Δy = 0.3466 - 0.26
Δy = 0.0866 m
3) we look for the second maximum m = 2 of laser 1, we substitute in equation 1
y₃ = 2 5.20 / 20
y₃ = 0.52 m
now let's find the third minimum m = 3 of laser 2
d y₄ / L = (m + ½) λ
d y₄ / 5.20 = (3 + ½) d / 15
y₄ = 3.5 5.20 / 15
y₄ = 1.213 m
Δy = y₄ -y₃
Δy = 1.213 - 0.52
Δy = 0.693 m
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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