MDM4U - Chapter 5- Probability Distributions and Predictions Student Name: 5.3 Binomial Distributions [Assessment For Learning] A baseball player has a batting average of 0.280. (a) Find the probabili

Answer:

\(4.5(10)^8\) joules

Explanation:

Mass–energy equivalence is the principle that says that anything that has mass has an equivalent amount of energy. Converse is also true.

The relation between energy and mass is given by \(E=mc^2\)

Here, E denotes energy, m denotes mass and c denotes speed of light

Mass \((m)=1.5\,\,kg\)

Speed of light (c) = 3 × \(10^8\) m/s

Therefore,

\(E=1.5(3)(10)^8=4.5(10)^8\)  joules.

The S.I. unit of energy is joules which is equal to \(1\,\,kg\,\,m^2/s^2\)

Answer:

the correct answer is D

Explanation:

The acceleration of the 6.0 kg block is 9.772 m/s².

From the question, we know that:

Mass of 1st block, m₁ = 3.0 kg

Mass of 2nd block, m₂ = 6.0 kg

Coefficient of kinetic friction, μₖ = 0.36

Force acting on the 2nd block, F = 79.8 N

First of all, we will find the force of friction acting on the 6 kg block.

Force of friction, f = μₖ × N

Where, N is the normal force acting on the block.

N = m₂ × g = 6.0 × 9.8 = 58.8 N

f = 0.36 × 58.8

f = 21.168 N

Now, we will find the net force acting on the block.

Net force,

F' = F - f

F' = 79.8 - 21.168

F' = 58.632 N

Now, we will find the acceleration of the block.

a = F' / m₂

a = 58.632 / 6.0

a = 9.772 m/s²

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Answer:

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 100 × 2

We have the final answer as

Hope this helps you

Answer:

Exposure occurs when a person comes into contact with hazard

The ball is on the 50-yard line. The ball travels west 5 yards. The distance ball traveled was 60 yards.

Distance can be defined as the length of any path between any two locations. Displacement is the direct distance between any two points when calculated via the shortest path between them. When computing distance, the direction is disregarded. The displacement computation takes the direction into consideration.

The 5 yard gain would bring the ball to the 45 yard line (ball was tackled  at the 50 yard line, so 50 - 5 = 45), but the 15 yards lost due to the tackle and push back would bring ball to the 60 yard line (45 + 15 = 60).

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The new electrostatic force will be 384 units.  

The electrostatic force of attraction between two charges \(q_{1} \\\)(charge of object 1)  and \(q_{2}\)(charge of object 2) separated by a distance d is given by

\(F = \frac{q_{1} q_{2}}{4\pi E_{0} d^{2} } \\\)

\(E_{0} = 8.854 * 10^{-12} C^{2} N^{-1} m^{-1}\) is the permittivity of free space.

Initially, we have,

\(\frac{q_{1} q_{2}}{4\pi E_{0} d^{2} } =F_{1} = 8 units\)  

Now, if the charge of object 1 is multiplied by 1, the charge of object 2 is multiplied by 3, and the distance separating objects 1 and 2 is divided by 4, we have, \(q_{1} =q_{1}, q_{2} =3q_{2} , d=\frac{d}{4}\).

The new electrostatic force will be,

\(F_{2} = \frac{q_{1} 3q_{2}}{4\pi E_{0} (\frac{d}{4} )^{2} } \\\\\) units.

We have, \(F_{1} = 8 units= \frac{q_{1} q_{2}}{4\pi E_{0} d^{2} } \\\)

Hence,

\(F_{2} =\frac{8*3}{(\frac{1}{4}) ^{2} } units= 384 units.\)

Hence, the new electrostatic force will be 384 units.

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Answer:

Yes

Explanation:

A parallel circuit has two or more paths for current to flow through. Voltage is the same across each component of the parallel circuit. The sum of the currents through each path is equal to the total current that flows from the source.

Answer:

Air temperature and air pressure both decreases

Answer: A

Explanation:

Answer:

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

Explanation:

Answer:

Explanation:

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. ... Magnetic fields surround magnetized materials, and are created by electric currents such as those used in electromagnets, and by electric fields varying in time.

Answer:

A centripetal force

Explanation:

The type of force in the given scenario is tension. The correct option is c.

Tension is defined in physics as the pulling force conveyed axially by a string, cable, loop, or similar material, or by every end of a rod, truss member, or similar three-dimensional object.

Tension can also be defined as the action-reaction pair of forces acting at each end of said elements.

Newton's second law states that the tension in the rope must equal the weight of the backed mass.

Tension, the normal force, and friction are all examples of contact forces.

Since the weight is not moving, the acceleration is zero. Even if the acceleration is not zero, this equals zero.

Thus, the correct option is c.

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Your question seems incomplete, the missing options are:

Answer:

Vaccines contain weakened or inactive parts of a particular organism (antigen) that triggers an immune response within the body. Newer vaccines contain the blueprint for producing antigens rather than the antigen itself.

Answer: They give  you a portion of the thing its fighting so it gets your cells use to it so they can fight it off easily

Explanation:

Coal, and oil are fossil fuels they are non - renewable. Nuclear sources are alo non renewable energy since they are unstable and hazardous to the environment and thus are difficult to manage for an efficient energy generation.

Renewable energy sources are those which can reproduced and will be long lasting over time. Whereas non renewable resources like fossil fuels  and nuclear sources are not at all recycled. Moreover they causes harmful effects to the environment.

Waste from coal or natural gas production necessitates the use of surplus energy and environmental mitigation. Considering these variables, it is evident that coal's overall usable energy efficiency is just 29% of its initial energy value.

Solar energy is the better alternative as a renewable energy source.Wind, on the other hand, rates at 50% efficiency. Wind energy sometimes has a higher efficiency than this %. And using wind energy doesn't produce any pollution as solar energy.

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Formula for momentum is  45 kg* m/s = (9 kg) (5 m/s). The last option is the correct answer.

This can be defined as the product of the mass and velocity of an object. It is measured in  Kilograme meters per second, kgm/s.

momentum Ρ= mass*velocity

                    =m*v

m=9kg

v=5m/s

Ρ=m*v

45 kg* m/s  =9kg*5m/s

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The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. The average density of the rock is approximately 3.37 \(g/cm^3\).

Using this principle, we can find the volume of the rock:

Buoyant force = weight of fluid displaced

(weight of rock - weight of submerged rock) = weight of fluid displaced

The weight of the submerged rock is:

weight of submerged rock = mass of rock x acceleration due to gravity

                                            \(= 0.358 kg * 9.81 m/s^2\)

                                              = 3.52 N

The weight of the rock in air is:

weight of rock in air = mass of rock x acceleration due to gravity

                                  \(= 0.510 kg * 9.81 m/s^2\)

                                  = 5.00 N

Therefore, the weight of the fluid displaced is:

weight of fluid displaced = weight of rock - weight of submerged rock

                                           = 5.00 N - 3.52 N

                                           = 1.48 N

The volume of the rock is:

volume of rock = weight of fluid displaced / density of fluid

                        \(= 1.48 N / (9.81 m/s^2 * 1000 kg/m^3)\)

                          = 0.000151 \(m^3\)

The density of the rock is:

density of rock = mass of rock / volume of rock

                          = 0.510 kg / 0.000151 \(m^3\)

                          = 3374.17 \(kg/m^3\)

Converting to \(g/cm^3\) :

density of rock = \(3374.17 g/m^3 / 1000 cm^3/m^3\)

                         = 3.37 \(g/cm^3\)

Therefore, the average density of the rock is approximately 3.37 \(g/cm^3\).

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The collections of properties which contain only features that can be changed by a resultant force is: speed, shape and direction.

A resultant force refers to a total effective force that has both magnitude and direction, which is mainly obtained through the addition of two (2) or more forces.

Hence, a resultant force is a single force acting on an object or physical body and it is obtained by combining two (2) or more forces.

Generally, there are some properties that changes when a resultant force is applied on them and these include:

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The heat absorbed by the water sample to convert it from 17.5°C to 118.9°C is approximately 539.24 kJ.

Heat absorbed refers to the amount of thermal energy that is added to a substance and causes an increase in its temperature. It is a measure of the energy transferred from a heat source to a substance. The heat absorbed can be calculated using the formula:

Q = mL

where Q is the heat absorbed, m is the mass of the substance, and L is its change in enthalpy or heat of vaporisation. In this equation, L represents the amount of heat needed to change the state of the substance, for example, from a liquid to a gas. The unit of heat absorbed is usually joules or kilojoules (kJ).

The heat absorbed by a substance can be calculated using the formula:

Q = mL

where Q is the heat absorbed, m is the mass of the substance, and L is its change in enthalpy or heat of vaporisation.

For water, the heat of vaporisation at normal atmospheric pressure is approximately 40.7 kJ/mol. This means that it takes 40.7 kJ  heat to convert 1 mole water at 100°C to steam at 100°C.

Convert the heat absorbed to kJ by using the following formula:

Q = mL = (m)(40.7 kJ/mol)

where m is the number of moles of water heated.

To calculate the number of moles, use the formula:

m = n = (mass of sample) / (molar mass of water)

The molar mass of water is 18.015 g/mol.

Plugging in the given values, we get:

m = (238.8 g) / (18.015 g/mol) = 13.21 moles

Q = (13.21 moles)(40.7 kJ/mol) = 539.24 kJ

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The visible light spectrum is bounded by these two types of radiation: ultraviolet and near infrared.

In physics, electromagnetic radiations are kind of waves that carry electromagnetic field and travel through space.

These waves transport electromagnetic energy while traveling through space.

Different types of electromagnetic waves are radio waves, infrared light, microwaves, gamma rays, UV radiations, and x-rays. While visible light is made up of only infrared and UV.

All these waves have different wavelengths, frequency and energy and make definite part of the electromagnetic spectrum.

These waves have dual nature and also exhibit dual particle nature and travel with light speed.

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Answer:

Acceleration, a = 2.38m/s²

Explanation:

Given the following data;

Mass = 1.01 kg

Force = 2.4N

To find the acceleration;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

\( F = ma\)

Where;

Making acceleration (a) the subject, we have;

\(Acceleration, a = \frac{F}{m}\)

Substituting into the equation, we have;

\(Acceleration, a = \frac{2.4}{1.01}\)

Acceleration, a = 2.38m/s²

Therefore, the magnitude of the acceleration of the ball at the time of the crash is 2.38 meters per seconds square.

A cart moving at a constant speed of 25 m/s possesses 438 J of kinetic energy, and the mass of the car is 1.6 kg.

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object to accelerate it. We must put in the effort to apply force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

Definition: When an object is moving at a constant speed—that is, its speed does not change—we say it is moving at a constant speed. steady rate

Given:

KE = 500 J

v = 25 m/s

The formula for Kinetic Energy is given:

KE = ½ mv²

where: KE - Kinetic Energy

m - mass

v - velocity

Substituting the value of KE and v in the formula,

500 J = (½)(m)(25 m/s)²

m = (500 J)(2)/(25 m/s)²

m = 1.6 kg

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The correct answer is 378000 km.

The speed of light is the rate at which light waves move through distinct substances. In instance, it has now been established that the speed of light in a vacuum is 299,792,458 metres per second.

Using the equation

distance = speed × time,

the total distance travelled is calculated.

Consequently, the overall distance travelled is

Distance = ( 3.00 × 10^8 m/s ) ( 2.52 )

= 756000000 m

The total distance travelled divided by two determines the distance between the Earth and the Moon.

Distance between earth to moon = 756000000/2

= 378000000 meters

= 378000 km.

Approximately 384 thousand kilometres separate the Earth and the Moon.

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Answer:

Check the diagram from the photo

Explanation:

Answer:

The doctors could see if her cells are getting the molecules they need from food and air

Explanation:

The doctors could see if her cells are getting the molecules they need from food and air. Doing so allows the doctors a general overview of how well her body's biological systems are performing since the basic necessities of the human system are food and oxygen. Therefore if the body is receiving both food and oxygen properly and distributing it properly and efficiently as well without any problems then the most likely outcome is that she is healthy enough to perform her tasks in the submarine under more pressure.

Answer:

The doctors could see if her cells are getting the molecules they need from food and air

Explanation:

Answer:

Friction reduces efficiency because when two surfaces slide past each other, friction resists their motion, and in real machines, some input work is always used to overcome friction.

Please give the brainliest.

The period of a mass on a spring is given by T = 2π√(m/k), where m is the mass attached to the spring and k is the spring constant. Since the spring is ideal and massless, the spring constant is simply given by k = mω^2, where ω is the angular frequency of the system.

If the mass is doubled to 2m, the spring constant will also change since k = mω^2.

Thus, the new spring constant will be k' = (2m)ω^2 = 2(mω^2) = 2k.

Therefore, the period of the system with the new mass will be T' = 2π√(2m/2k) = 2π√(m/k).

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5 tickets for $ 12.50

Explanation

to figure out this we need to find the unit rate

so

Step 1

the rate is given by:

then

a) for 5 tickets and $12.50

replace and calculate

b) for 8 tickets and $20.16

replace and calculate

therefore, the better deal is 5 tickets for $ 12.50, you will get more tickets per dollar

I hope this helps you

Explanation:

it moves at a speed of 76 km/h hence the distance covered in an hour is 76 km

Answer:

I put the answer

Explanation:

Can you see it

10Hz is the frequency of the wave.

To calculate the frequency of a wave, divide the velocity of the wave by the wavelength. Write your answer in Hertz or Hz

Given,

F = 2

λ=2m

v=20m/s

By applying the formula, we get

V = Fλ

F = V / λ

F = 20 / 2

=10Hz

Wave frequency is the number of waves that pass a fixed point in a given amount of time.

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