Cars enter a car wash at a mean rate of 33 cars per half an hour. What is the probability that, in any hour, exactly 22 cars will enter the car wash? round your answer to four decimal places

Answers

Answer 1

Answer:Cars enter a car wash at a mean rate of 4 cars per half an hour. 

Explanation:

Answer 2

The probability that, in any hour, exactly 22 cars will enter the car wash will be 0.0920.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The  mean rate of car is,[tex]\rm \lambda = 66 \ car/hour[/tex]

[tex]P(x=K) = \frac{8^k e^{-8}}{k\!}\\\\P(x=22) = \frac{66^{22} e^{-22}}{22\!}\\\\ P(x=22)=\frac{0.000000000000691\times 1.07\times 10^{40}}{22} \\\\\ P(x=22)=0[/tex]

Hence the probability that, in any hour, exactly 22 cars will enter the car wash will be 0

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Related Questions


What is the direction of the normal contact force of the road on the wheels?
Tick one box.
Down
Left
Right
Up

Answers

The direction of the normal contact force of the road on the wheels is : ( B ) Left

Contact force

The contact force of the road on the wheels will act in a direction opposite to the movement of the wheel on the road. therefore as the wheel moves forward ( right ), the contact force will move backwards ( left ) of the direction of motion.

Hence we can conclude that the direction of the normal contact force of the road on the wheels is : ( B ) Left

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How does the maximum value of the current depend on the frequency of the ac voltage source?.

Answers

The maximum value of the current depend on the frequency of the ac voltage source because it increases as the frequency increases.

What is peak current of AC source?

The peak current of an ac source is the amplitude current flowing in the ac circuit.

The magnitude of the peak  current is calculated as follows;

I₀ = i/(sin ωt)

I₀ = i/(sin 2πft)

where;

I₀  is the peak currenti is the ac currentω is angular speedf is the frequencyt is time

maximum value ac current

i = I₀ x sin 2πft

From the equation above, as the frequency of the of the ac voltage source increases, the value of the ac current (i) increases.

Thus, the maximum value of the current depend on the frequency of the ac voltage source because it increases as the frequency increases.

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Which letter explains why no machine is 100 percent efficient.
A.Mechanical energy is transformed into thermal energy by friction.
B.Mechanical energy is transformed into electrical energy by a spark.
C.Thermal energy is transformed into mechanical energy by friction.

Answers

Answer:

A

Explanation:

Think about rubbing your hands together- the friciton produces heat

its about dirve its about power

Answers

B R U H what are u talking about

Answer:

We stay hugely we devour

Explanation:

It's the rock

A very long straight wire carries a current i in the z direction

Answers

Answer:

what are you calculating put the full question so I can help you out: )

Explanation:

its quite confusing just a little lol

A stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s. What is the frequency perceived by a firefighter racing toward the station at 11km/h

Answers

For a stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s, the frequency perceived  is mathematically given as'

F=81.721Hz

What is the frequency perceived by a firefighter racing toward the station at 11km/h?

Generally, the equation for the doppler effect  is mathematically given as

[tex]F'=\frac{vs+v}{vs}*f[/tex]

Therefore

F=81(343+3.05556)/343

F=81.721Hz

In conclusion, the frequency is

F=81.721Hz

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Distinguish between pressure and force in the case of wang yourself on a common bathroom scale

Answers

Answer: hey here's your answer...

Explanation: We can think of a force as a push on a surface, such as the force due to gravity you exert when standing on a bathroom scale. Pressure involves the distribution of force. The scale measures force, not pressure, so your weight reading is the same no matter how you distribute your weight on the scale.

Hope this helps...

Have a nice day-

do you think your real?

Answers

Answer: Yes I am alive.

Yes I am not a robot

Sound can't travel through a

Question 4 options:

A. liquid.

B. vacuum.

C. solid.

D. gas.

Answers

B sound cannot travel through empty space which is what a vacuum is considered to be

Answer:

Vacuum

Explanation:

Sound waves can travel through any medium, such as a solid, a liquid, or a gas. However, sound doesn’t travel through a vacuum, which is why sounds can't be heard in outer space.

PF

please solve this as fast as you can​

Answers

B

The combustion of the fuel in the helicopter is chemical energy. The vertical change in height is the result of kinetic energy. Because the helicopter is hovering in the air, it has gravitational potential.

Answer:

this would be B friend :)

Explanation:

How can gravitational tugs from orbiting planets affect the motion of a star?.

Answers

Answer:

Gravitational tugs from orbiting planets don't affect the motion of a star. The star, being much larger than the planet, has a much smaller orbit. But it does move slightly. Explain how alien astronomers could deduce the existence of planets in our solar system by observing the Sun's motion.

What is the average velocity of the fly between 0 and 15 seconds

Answers

Answer:

where is the displacement

[tex]v = \frac{s}{t} [/tex]

The average velocity of the fly between 0 and 15 seconds will be 10 m/sec.Velocity is the time-based component.

What is average velocity?

The average velocity is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.

From the given graph it is obsderved that the displacement from 0 to 15 seconds will be 150 m.

[tex]\rm V = \frac{D_2-d_1 }{t_2-t_1} \\\\ V = \frac{150}{15-0} \\\\ V= 10 \ m/sec[/tex]

Hence the average velocity of the fly between 0 and 15 seconds will be 10 m/sec.

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Hello people ~
Voice of man is heavy compared to a woman because
(a) Female vocal cord is longer
(b) Male vocal cord is shorter
(c) Male vocal cord is longer
(d) The concept is not related​

Answers

Answer:

(c) the male vocal cord is longer

Explanation:

Males have a lower pitch in their voises than females, elongating men's vocal cords.

I am joyous to assist you at any time.

Voice of man is heavy compared to a woman because male vocal cord is longer.

What is the difference between male and female voice?

The change is caused by an enlargement in the vocal folds, generating a more serious and adult voice. Generally speaking, the male voice is deeper than the female voice because the vocal muscles grow more in men than in women.

Males have a lower pitch in their voises than females, elongating men's vocal cords.

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A 20 Ohm resistance is connected
across the secondary winding of a
single-phase power transformer
whose secondary voltage is 150 V.
Calculate the primary voltage if the
supply current is 5 A, neglecting
losses.

Answers

Answer: 225 V

Explanation:

Given:

Secondary voltage,V2 = 150v

Resistance is connected across secondary winding,∴R2 = 20Ω

Supply current, ie, I1 = 5A

[tex]\text{Now, secondary current,} \ $I_{2}=\frac{V_{2}}{R_{2}}=\frac{150}{20}=7.5$$$\therefore I_{2}=7.5 \mathrm{~A}$$For Transformers, we have $\frac{N_{2}}{N_{1}}=\frac{V_{2}}{V_{1}}=\frac{I_{1}}{I_{2}}$ so, Taking $\frac{N_{2}}{N_{1}}=\frac{l_{1}}{l_{2}}$ inserting all given \& obtained values, we get $\frac{N_{2}}{N_{1}}=\frac{5}{7.5}$$$\therefore \text { Turns ratio }=\frac{N_{1}}{N_{2}}=\frac{7.5}{5}=\frac{3}{2}=3: 2$$[/tex]

[tex]\text{Again taking,}\frac{N_{1}}{N_{2}}=\frac{V_{2}}{V_{1}}$ \\So, \\$V_{1}=\frac{N_{1}}{N_{2}} V_{2}\\$ inserting all values, we get, $V_{1}=\frac{7.5}{5} * 150=225$\\Therefore, \fbox{Primary voltage, {$V_{1}=225 \mathrm{~V}$}}[/tex]

A block initially at rest on a horizontal, frictionless surface is accelerated by a constant horizontal force of 5. 0 newtons. If 15 joules of work is done on the block by this force while accelerating it, the kinetic energy of the block increases by.

Answers

By the work-energy theorem, the block's kinetic energy is increased by 15 J. The only force performing work on the block is the constant 5.0-N push.

The magnetic flux through a coil of wire containing two loops changes at a constant rate from -58 wb to 38 wb in 0. 34 s. What is the emf induced in the coil?

Answers

Since the magnetic flux through a coil of wire containing two loops changes at a constant rate from -58 wb to 38 wb in 0. 34 s, the emf induced in the coil is -5.65 V

Induced emf in coil

The induced emf in the coil is given by ε = -NΔΦ/Δt where

ΔΦ = change in magnetic flux Φ₂ - Φ₁ where Φ₁ = initial magnetic flux = -58 Wb and Φ₂ = final magnetic flux = 38 Wb and and Δt = change in time = t₂ - t₁ where t₁ = initial time = 0 s and t₂ = final time = 34 sand N = number of loops of coil = 2

Since ε = -NΔΦ/Δt

ε = -N(Φ₂ - Φ₁)/(t₂ - t₁)

Substituting the values of the variables into the equation, we have

ε = -N(Φ₂ - Φ₁)/(t₂ - t₁)

ε = -2(38 Wb - (-58 Wb))/(34 s - 0 s)

ε = -2(38 Wb + 58 Wb)/(34 s - 0 s)

ε = -2(96 Wb)/34 s

ε = -192 Wb/34 s

ε = -5.65 Wb/s

ε = -5.65 V

So, the emf induced in the coil is -5.65 V

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The electrical action generated by a non-electrical source, measured in volts. The emf induced in the coil is -564.7 V.

What is EMF?

The electrical action generated by a non-electrical source, measured in volts, is referred to as emf or electromotive force. Devices, such as batteries or generators, generate an emf by converting various sources of energy into electrical energy.

The emf induced in a coil is given by

[tex]\varepsilon = \dfrac{-N \times \triangle \phi}{ \triangle t}[/tex]

where

ΔΦ is the change in magnetic flux, Δt is the change in time, and N is the number of loops.

Given that the initial magnetic flux is -58 Wb while the final magnetic flux is 38 Wb. Also, the change in time is 0.34 seconds and the number of loops is 2. Therefore, the emf induced can be written as,

[tex]\varepsilon = \dfrac{-N \times \triangle \phi}{ \triangle t}[/tex]

[tex]\varepsilon = \dfrac{-(2) \times [38-(-58)]}{0.34}\\\\\varepsilon = -564.7\rm\ V[/tex]

Hence, the emf induced in the coil is -564.7 V.

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how far does a 1.2g bullet with kinetic energy of 1.2 j go in 2 seconds ?


Answers

Answer:

To calculate the energy in joules, simply enter the mass of ammunition (in grams) that you use, and the fps that you've read from your Chrono unit.

Which trait shared by dolphins and bats possibly lead to the evolution of echolocation in these two animal groups? the need to move quickly through dark environments the need to be able to send sound waves through the air the need to be able to send sound waves through the water the need to communicate with other species through echolocation.

Answers

A trait shared by dolphins and bats  will be the need to move quickly through dark environments.

What is the evolution of echolocation?

Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation

According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats

The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.

A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.

Hence option A is correct.

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Answer:

D

Explanation:


The diagram above shows a ballistic pendulum. A 10 g bullet is fired into the suspended 2 kg block of wood and
remains embedded inside it (a perfectly inelastic collision). After the impact of the bullet, the block swings up to a
maximum height h. If the initial speed of the bullet was 35 m/s:

A.) What was the momentum of the bullet before the collision?

B.) What was the kinetic energy of the bullet before the collision?

C.) What was the velocity of the bullet-block system just after the collision?

D.) What was the total kinetic energy of the bullet-block system after the collision?

E.) What is the maximum possible potential energy of the bullet-block system when it reaches its maximum height?

F.) What is the maximum possible height of the bullet-block system?

Answers

The kinetic energy of the bullet-block system is equal to the potential energy of the bullet-block system when it reaches its maximum height.

Conservation  of Linear momentum

According to the principle of conservation of linear momentum, momentum before collsion is equal to momentum after collision. Let us now answer the questions individually.

1) The momentum of the bullet before collsion = (0.001 Kg * 35 m/s) = 0.35 Kgms-1

2) The kinetic energy of the bullet before collision = 0.5 * 0.001 * (35 m/s)^2 = 0.6125 J

3) Velocity after collsion is obtained from;

(0.001 Kg * 35 m/s) + (2 kg * 0 m/s) = (0.001 Kg + 2 kg) v

v = 0.35/2.001 =

v=0.1749 m/s

4) Total kinetic energy after collison = 0.5 * (0.001 Kg + 2 kg) * (0.1749 m/s)^2

= 0.031 J

5) The maximum possible potential energy of the bullet-block system when it reaches its maximum height = Total kinetic energy after collison = 0.031 J

6) The  maximum possible height of the bullet-block system is obtained from;

PE = mgh

h = 0.031 J/(0.001 Kg + 2 kg) * 9.8 ms-2

h = 0.0015 m or 0.15 cm

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When a thermometer is emersed in ice cold water, the Mercury thread is observed to rise before dropping steadily in the capillary tube. Explain

Answers

The molecules of the red liquid within the thermometer move faster when heated. When the thermometer is submerged in cold water, the molecules slow slowly, and their attractor forces them closer together, causing them to fall down the tube.

A fighter plane is descending at 30 m/s. The pilot ejects, and the ejector seat accelerates him upwards at 120 m/s2 for 2 seconds. What is his velocity at the end of the 2 seconds?

Answers

Answer:

210m/s upwards

Explanation:

u= -30m /s

a= 120m/s^2

t=2s

v=u+at

=(-30)+(120x2)

=240-30

=210m/s

3. In the formula F = −kx , what does the minus sign indicate?
It indicates that the restoring force is in the direction of the displacement.
It indicates that the restoring force is in the direction opposite the displacement.
It indicates that mechanical energy in the system decreases when a system undergoes oscillation.
None of the above

Please show all of your work.

Answers

In the formula F = −kx , what does the minus sign indicate?

Solution: It indicates that the restoring force is in the direction opposite the displacement.

====================================================

k  is the force constant

F is the restoring force.

negative sign represents the restoring force.

x is the displacement

Answer:

It indicates that the restoring force is in the direction opposite the displacement.

Explanation:

I had an explanation but, my acc got deleted and yeah, uhm the explanation is dead now, I know this is correct though!

~Kandy~

hope this helped!

brainliest please!

One square megameter is equal to 1. 0×106 square kilometers. How many square megameters are in 4,000,000 square kilometers?

Answers

Answer:

One has 1E6 km^2 / MM

4E6 km^2 / (1E6 km^2/MM) = 4 MM or 4 megameter

In 4000,000 square kilometers, there are 4 square megameters if the one square megameter is equal to 1. 0×106 square kilometers.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have:

One square megameter = [tex]1\times10^6[/tex]

Let's suppose the x square megameters in the 4,000,000 square kilometers

Then x can be found as follows:

[tex]\rm x = \frac{4,000,000}{1\times10^6}[/tex]

x = 4 square megamters

Thus, in 4000,000 square kilometers, there are 4 square megameters if the one square megameter is equal to 1. 0×106 square kilometers.

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A fish swimming at a constant speed of 0.5 m/s suddenly notices a shark
appear behind it. Five seconds later, the fish is swimming in the same
direction at a speed of 3.5 m/s. Calculate the fish's acceleration?


PLEASE HELP <33

Answers


t he fish's acceleration is 0.4m/s².
the acceleration of the fish is 0.4m/s squared

Convert 95°F into degree centigrade.​

Answers

35

Explanation:

95 =9/5*x +32

63=9/5x

9x=63*5

x=35

Which has a greater energy, long wavelength red light or short wavelength uv light?.

Answers

Long wavelength red light

13. A mass of 1 kg undergoes simple harmonic motion with amplitude of 1 m. If the period of the oscillation is 1 s, calculate the internal energy of the system.

Please show all of your work.

Answers

first we need omega

T=1s

Hence

[tex]\\ \rm\rightarrowtail \omega=\dfrac{2\pi}{T}=2\pi[/tex]

Now

Total energy:-

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}m\omega ^2A^2[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(1)(2\pi)^2(1)^2[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(4\pi ^2[/tex]

[tex]\\ \rm\rightarrowtail 2\pi ^2[/tex]

[tex]\\ \rm\rightarrowtail 2(3.14)^2[/tex]

[tex]\\ \rm\rightarrowtail 19.72J[/tex]

What two forces propel the acceleration of change in human societies today?

Answers

Answer:

Collective behavior and social movements

Explanation:

Social movements are a collective behavior but are organized efforts and goal driven. It can range from local to national and can even reach globally. Groups that are behind social movements usually want to either create or resist social, political, economic, or cultural change.

The use of fossil fuels such as coal, oil, natural gas, and technical advancements in the contemporary age is driving the acceleration of change in human cultures today.

What are fossil fuels?

Fossil fuels are obtained beneath the earth's crust, which is formed due to buried plants and animals. The excessive heat under the earth crust heats the plants and animals.

The use of fossil fuels such as coal, oil, natural gas, and technical advancements in the contemporary age is driving the acceleration of change in human cultures today.

Hence, the use of fossil fuels such as coal, oil, and natural gas, and technical advancements are two forces that propel the acceleration of change in human societies today

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the red lines on this
national weather
service weather map
connect areas of equal
air pressure. what do
meteorologists call
these lines?

a. isobars
b. cold fronts
c. air masses
d. isotherms

Answers

The circular lines you see on the chart are isobars, which join areas of the same barometric pressure.

The study of electrons as it relates to their use in electric devices

Answers

Answer:

An electron is a component of the broader term, electricity. Generally electricity refers to the control, manipulation, and use of the movement of electrons to perform some kind of work (motion/rotation, light, heat, etc…).

Explanation:

Or

put this

The study of electrons as it relates to their use in electric devices is electricity.

But I will go with the first one

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A research paper should be entirely composed of information from sources.A) TrueB) False The _____ acceleration is deceleration 13. The diagram shows the support bracket for a restaurant sign. AB=60 cm, AC=109 cm and ZBAD=41. A 41 109 cm 60 cm NOT TO SCALE B D THE BROTHERS CONCH DINNERS Calculate (a) the length of BC [3] [3] (b) the angle C (c) [3] the length of AD Question 3 (1 point)Which practice best describes the purpose of the National Archives and RecordsAdministration?keeping lists of eligible voters in the United Statesmaintaining items that tell us about our pastlimiting the information made available in government recordsproviding a way for noncitizens to learn about the nation One of the military leaders that Hoover sent in to combat the bonus armyName the definition Fix the one word that is used incorrectly.Thearchaeologisthadtoliethedelicatefragmentsofpotterycarefullyontothedisplaytablesothattheycouldbephotographedandcataloged what were two similarities between Stalin and Hitler What is the surface area of the cylinder with height 8 and radius 2? Round your answer to the nearest thousandth. Which occurred in the united states in the decades after wwii? question 12 options: economic depression the rise of fascism high unemployment a "red scare" This is urgent I really I need the answers Thanks in advance Pls Ill make brainliest Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -5, -4i, and 4i. Simplify your answer so that it has only real numbers as coefficients.I got an answer by solving (x^3+5x^2-16x-80) but it says thats incorrect. Which figure can be formed from the net? x = 8 6x + 9y = 12 solve for substitution Select two details that describe both the students in Ms. Odoms class and spelunkers. Drag and drop the details into the box.explore caves as a hobbyenjoy exploring the world inside cavesare required to learn about the caves ecologymust follow all safety rulesStudents and Spelunkers Can someone please help me? :( Police use the formula: v = 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 109 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit. Answer: The car was traveling at approximately ____________ miles per hour. Is chocolate conciderd candy? Find the volume of the composite shape. And round to the nearest tenth. BRAINLIEST What was a purpose of the Missouri Compromise?to decide which states would be free and which states would allow enslavement as the United States expanded westto allow for popular sovereignty in the state of Missourito ban enslavement in the territory that had been acquired from Mexicoto require citizens to help return formerly enslaved people who had fled