Answer:para enxergar
Explanation:
Scientists treat the number of stars in a given volume of space as a Poisson random variable. The density of our galaxy in the vicinity of our solar system is 3 stars per 10 cubic light-years. What is the probability of one or more stars in 10 cubic light-years? Round your answer to 4 decimal places.
Answer:
[tex]P(X\ge 1) = 0.9502[/tex]
Explanation:
Given
Density = 3 starts in 10 cubic light years.
Required
Determine the probability of 1 or more in 10 cubic light years
Since the number of stars follow a Poisson distribution, we make use of:
[tex]P(X=k) = f(x) = (\lambda T)^k\frac{ e^{-\lambda T}}{k!}[/tex]
[tex]\lambda = density[/tex]
[tex]\lambda = \frac{3}{10}[/tex]
[tex]\lambda = 0.3[/tex]
T = the light years
[tex]T = 10[/tex]
Calculating [tex]P(X \ge 1)[/tex]
In probability:
[tex]P(X \ge 1) = 1 - P(X = 0)[/tex]
Calculating P(X=0)
Substitute 0 for k and the values for [tex]\lambda[/tex] and T in
[tex]P(X=k) = f(x) = (\lambda T)^k\frac{ e^{-\lambda T}}{k!}[/tex]
[tex]P(X=0) = (0.3* 10)^0 * \frac{ e^{-0.3 * 10}}{0!}[/tex]
[tex]P(X=0) = (3)^0 * \frac{ e^{-0.3 * 10}}{1}[/tex]
[tex]P(X=0) = (3)^0 * e^{-0.3 * 10}[/tex]
[tex]P(X=0) = 1 * e^{-0.3 * 10}[/tex]
[tex]P(X=0) = 1 * e^{-3}[/tex]
[tex]P(X=0) = e^{-3}[/tex]
[tex]P(X=0) = 0.04979[/tex]
Substitute 0.04979 for P(X=0) in [tex]P(X \ge 1) = 1 - P(X = 0)[/tex]
[tex]P(X\ge 1) = 1 - 0.04979[/tex]
[tex]P(X\ge 1) = 0.95021[/tex]
[tex]P(X\ge 1) = 0.9502[/tex] --- approximated
Hence, the required probability is 0.9502
if a 50.0-kg mass weighs 554 n on the planet saturn, calculate saturn’s radius
Answer:
17.35 × 10^(-6) m
Explanation:
Mass; m = 50 kg
Weight; W = 554 N
Now, we know that;
W = mg
Thus; 554 = 50g
g = 554/50
g = 11.08 m/s²
Also, we know that;
mg = GMm/r²
g = GM/r²
Making t the subject gives;
r = √(GM/g)
G has a constant value of 6.67 × 10^(-11) Nm²/kg²
r = √(6.67 × 10^(-11) × 50/11.08)
r = 17.35 × 10^(-6) m
The radius of the saturn is [tex]\bold {17.35 x 10^{-6 }m}[/tex] if a 50.0-kg mass weighs 554 N.
From Newton's second law,
W = mg
554 = 50 x g
g = 554/50
g = 11.08 m/s²
Now, Newton's law of gravitation
[tex]\bold {F=G{\dfrac{m_1m_2}{r^2}}}[/tex]
Where,
F = force
G = gravitational constant = 6.67 x 10^-11 N.m²/kg²
m1 & m2= mass = M = 50 kg
r = distance between centers of the masses
Put the values and solve it for r,
[tex]\bold {r = \sqrt {(6.67 x10^{-11} \times \dfrac {50}{11.08}}}\\\\\bold {r = 17.35 x 10^{-6 }m}[/tex]
Therefore, the radius of the saturn is [tex]\bold {17.35 x 10^{-6 }m}[/tex] if a 50.0-kg mass weighs 554 N.
To know more about Newton's law of gravitation
https://brainly.com/question/9373839
A 30 N force is applied to a box, as shown below in the diagram. (g = 10 m/s2) 30N 2kg The acceleration of the box is
5. In an electric bell, electromagnet attracts________
towards itself.
Ans: It attracts iron armature
Suppose the Sun is 1.29025 X 108 km from
Earth.
The speed of light is 2.99792 x 108 m/s.
How long does it take for its light to reach
us?
Answer in units of min.
Answer:
It takes the Sun's light 7.17 minutes to reach us.
Explanation:
We can calculate the time that takes the light to reach us by using the following equation:
[tex] t = \frac{d}{c} [/tex]
Where:
d: is the distance = 1.29025x10⁸ km = 1.29025x10¹¹ m
c: si the speed of light = 2.99792x10⁸ m/s
Hence, the time is:
[tex] t = \frac{d}{c} = \frac{1.29025 \cdot 10^{11} m}{2.99792 \cdot 10^{8} m/s} = 430.38 s = 7.17 min [/tex]
Therefore, it takes the Sun's light 7.17 minutes to reach us.
I hope it helps you!
what's the optical illusion also known as?
Answer:
An optical illusion (also called a visual illusion) is an illusion caused by the visual system and characterized by a visual percept that arguably appears to differ from reality. ... Cognitive visual illusions are the result of unconscious inferences and are perhaps those most widely known.
plzzzzzzz helppppppp
Answer:
6th amendment
Explanation:
the judge denied her request for a lawyer when she requested one
Pls, help with this! I'm having trouble. will give points!!
Answer:
yes
no
no
no
no
yes
Explanation:
What is the velocity of a 750 kg object at a height of 0m if it’s ME is 3590J?
Answer:
Sorry for this question
on what mass will a force 16N produce an acceleration of 160N
Answer:
m = 0.1 [kg]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration. In this way, we have the following equation.
[tex]F =m*a[/tex]
where:
F = force = 16[N]
a = acceleration = 160 [m/s²]
m = mass [kg]
Now replacing:
[tex]m=F/a\\m = 16/160\\m = 0.1 [kg][/tex]
Which form of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles?
Answer:
Gamma radiation.
Explanation:
Electromagnetic waves are waves produced with respect to the interaction of electric field and magnetic field. They can be arranged with respect to their increasing or decreasing wavelength to form a pattern called electromagnetic spectrum.
Gamma radiation can be used for sterilization purpose due to the fact that it has a relatively high amount of energy, and do not produce any characteristic radiation.
An object is placed 110 mm from a concave mirror with a focal length of 5.0 cm.
Answer:
Approximately 92 mm.
Explanation:
Object's distance, u = 110 mm = 11 cm
focal length of the mirror = 5 cm
Image distance, v = ?
To determine the image distance, apply the mirror's formula;
[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{u}[/tex] + [tex]\frac{1}{v}[/tex]
[tex]\frac{1}{v}[/tex] = [tex]\frac{1}{f}[/tex] - [tex]\frac{1}{u}[/tex]
= [tex]\frac{1}{5}[/tex] - [tex]\frac{1}{11}[/tex]
= [tex]\frac{11-5}{55}[/tex]
[tex]\frac{1}{v}[/tex] = [tex]\frac{6}{55}[/tex]
⇒ v = [tex]\frac{55}{6}[/tex]
= 9.166667
v = 9.2 cm
The image distance is 92 mm.
How could a camping fire turn into a forest fire
Answer:
Campfires top the list of ways that humans start wildfires, the U.S. Forest Service said. Typically, campfires either grow out of control and the people who built the fire do not have a way to stop it, or they fail to extinguish the fire properly, allowing the fire to re-ignite after they leave.
Explanation:
Answer:
Explanation:
Wind can blow the ashes and ignite the leaves
Need help ASAP
Thanks + BRAINLIST only for correct answer
1.Cell phones convert sound waves into______waves.
-light waves
-sound waves
-radio waves
2.Electromagnetic waves used in cell phone communications are called?
-microwave
-radio wave
-infrared
-all of the above
3.To send out a radio signal far and wide...it is called?
-broadcast
-casting
-antenna
Answer:
answer my question
Explanation:
The height of the crest or depth of the trough from the center is called *
Answer:
amplitude
Explanation:
The height of a transverse waves is known as its?
Answer:
amplitude
Explanation:
amplitude of a wave is the maximum displacement of a point from its rest position.
hope you get it,
Why do we not feel air pressure?
Answer:
Explanation:
Is beacuse of the air within our bodys is exerting the same pressure out wards so tjere is no pressure difference
Answer:
it is because our body itself is not adept enough to resist the air pressure. For every reaction, there be an balanced opposite reaction according to Newton's law. namely, all forces such as air pressure are in proportion therefore we will not perceive air pressure which also means no net force.
Explanation:
A crane lifts an air conditioner to the top of a building. If the building is 12 m high, and the air conditioner has a mass of 200 kg, how much work did the crane do to lift it? (Hint: the force the crane exerts is equal to the weight of the air conditioner)
Work needed = 23,520 J
Further explanationGiven
height = 12 m
mass = 200 kg
Required
work needed by the crane
Solution
Work is the transfer of energy caused by the force acting on a moving object
Work is the product of force with the displacement of objects.
Can be formulated
W = F x d
W = Work, J, Nm
F = Force, N
d = distance, m
F = m x g
Input the value :
W = mgd
W = 200 kg x 9.8 m/s²x12 m
W = 23520 J
A 40-kg person is climbing 3 m up a flight of stairs in 6 seconds. How much power did they exert climbing the stairs?
Answer:
mate i got you
Explanation:
A 40-kg person is climbing 3 m up a flight of stairs in 6 seconds. How much work did they do climbing the stairs? answer choices . 400 J. 1200 J. 200 J. 120 J. Tags: Question 13 . SURVEY . 30 seconds . Report an issue . Q. A 40-kg person is climbing 3 m up a flight of stairs in 6 seconds. How much power did they exert climbing the stairs? answer choices . 400 W. 1200 W. 200 W. 120 W. Tags
200 W was used in climbing the stairs.
We'll begin by calculating the energy. This can be obtained as follow:
Mass (m) = 40 kg
Height (h) = 3 m
Acceleration due to gravity (g) = 10 m/s²
Energy (E) =? E = mghE = 40 × 10 × 3
E = 1200 JFinally, we shall determine the power exert in climbing the stairs. This can be obtained as follow:
Energy (E) = 1200 J
Time (t) = 6 s
Power (P) =?[tex]Power = \frac{Energy }{Time}\\\\Power = \frac{1200}{6}[/tex]
Power = 200 WThus, 200 W was used in climbing the stairs.
Learn more: https://brainly.com/question/5534024
If a object is at rest, does it mean there are no forces acting on it
PLS ANSWER FAST WILL GIVE BRAINLEST!!!
Calculate the missing variables using the necessary formula and rules using "FORCE"
A water filled balloon with an overall mass of 1 kg undergoes an acceleration of 2m/s2. How much force is being applied to the ballon?
Answer:
2 Newtons
Explanation:
[tex]F = ma[/tex]
Therefore, your mass would be 1kg and your acceleration would be 2m/s/s
Plug the numbers into the equation:
[tex](1kg)(2m/s/s)[/tex]
which will equal
[tex]2 Newtons[/tex]
3. If you were in a car collision, would you rather be hit by Vehicle 1 (2,027 kg) or Vehicle 2 (1,415 kg) from Activity 73? Explain.
Answer:
I say vehicle one, because both will apply the same amount of force but, because vehicle two has less mass, it will accelerate more rather than vehicle one which will accelerate less.
A child is standing on the platform of a station, watching the trains.
.
A train travelling at 30 m/s takes 3 s to pass the child.
What is the length of the train?
A 10m
B 30 m
C 90 m
D 135 m
another A b c or d about the earth...
Answer:
B seismic wave
Use newton's law to explain the vertical acceleration of a projectile
Answer:
Explained below
Explanation:
Newton's first law of motion: This law states that an object will remain at rest or continue in constant motion except it's acted upon by an external force. In projectile motion, the horizontal component of velocity will remain unchanged because we ignore air resistance since no force is acting in that horizontal direction.
Newton's second law of motion: This law states that force is the product of mass and acceleration. In projectile the force acts downwards, thus f = mg.
But g = a since internal forces will cancel out.
Thus, F = ma
these two pls :)))) ill mark brainliest :)
Answer:
Bowling Ball: weight on Earth = 49 N
Textbook: Mass = 2 kg; weight on the moon = 3.2 N
Large dog: weight on Earth = 490 N; weight on the moon = 80 N
Law of Universal Gravitation: [tex]F_{G}=\frac{Gm_{1}m_{2}}{r^{2}}[/tex]
[tex]F_{G}[/tex] = gravitational force (Newtons/N)
G = gravitational constant, 6.67430 × 10¹¹ [tex]\frac{N*m^{2}}{kg^{2}}[/tex]
m₁ and m₂ = masses of two objects (kilograms/kg)
r² = square of distance between centers of the two objects (meters/m)
Have a fantastic day!
what are subtomic particles
Answer:
In the physical sciences, subatomic particles are smaller than atoms. They can be composite particles, such as the neutron and proton; or elementary particles, which according to the standard model are not made of other particles. Particle physics and nuclear physics study these particles and how they interact.
Explanation:
Answer:
In physical sciences, subatomic particles are smaller than atoms. They can be composite particles, such as the neutron and proton; or elementary particles, which according to the standard model are not made of other particles.
What is the difference between speed and velocity?
a.Speed is displacement and time
b.Speed is velocity/ displacement
c.velocity is speed and direction
d.velocity is displacement and distance
The answer is c.velocity is speed and direction
Apply Pascal's law to a ketchup packet. Explain what will happen if you tear a small
hole in one corner of a packet and then squeeze the packet.
Answer:
its will explode because it's like a soda with baking soda added together and you shake it the small hole can make a huge explosion
Famous French mathematician, physicist, and philosopher Blaise Pascal announced this law in the year 1647.
What is pascal law?According to this law, pressure applied to a liquid that is at rest is uniformly distributed throughout.
There are numerous uses for it in daily life. Numerous gadgets, like hydraulic lifts and brakes, are based on Pascal's law.
For incompressible fluids, Pascal's concept is applicable. The majority of vehicle repair shops using lifts use one common use. In essence, air from an air compressor is delivered to the top of oil in a container; the oil then exerts pressure on a sleeve or piston that raises the car.
Therefore, Famous French mathematician, physicist, and philosopher Blaise Pascal announced this law in the year 1647.
To learn more about pascals law, refer to the link:
https://brainly.com/question/21852769
#SPJ2
Which of the following wavelengths have the highest frequency? Group of answer choices a.infrared waves b. radio waves c.microwaves d.visible light
b...radio waves answer