Let h : Z → R be the point mass function of some distribution.
a) Let Ω = Z × Z. Show that if we define each ω = (ω1, ω2) ∈ Ω,
pω = hω1 hω2, then (pω)ω∈Ω is the point mass function of some distribution.
b) Consider the random variable X : Ω → Z, X(ω) = ω1 + ω2. Show that X's
the point mass function of the distribution, i.e. PX, is

Hints: the a) point is largely a repetition of the old one, but the latter point may require some thought. In particular, you should think about why it is enough to calculate
probability P({ω ∈ Ω : X(ω) = x}). For this, you should think about
that what this event has to do with the event
​​​​​​​x - n}
and why it can be applied to calculate the probability of this event
definition of probability distribution.

Answer:

P = (1.87 × 10⁵ Pa) / (133.322 Pa/torr) = 1.40 × 10³ torr (or mm Hg)

Explanation:

(a) To calculate the hydrostatic gauge pressure in the blood at the heart of the Argentinosaurus, we can use the following formula:

P = ρgh

where P is the pressure, ρ is the density of the blood, g is the acceleration due to gravity, and h is the height difference between the heart and the brain.

The height difference between the heart and the brain is:

h = 17.1 m - 9.00 m = 8.10 m

Substituting the given values, we get:

P = (1.06 × 10³ kg/m³) * (9.81 m/s²) * (8.10 m)

P = 8.45 × 10⁴ Pa

To convert this to torr or mm Hg, we can use the conversion factor:

1 torr = 133.322 Pa

Therefore, the pressure at the heart required to perfuse the brain with blood is:

P = (65.3 torr) / (133.322 Pa/torr) = 0.489 × 10⁴ Pa

The hydrostatic gauge pressure required at the heart is:

P = 0.489 × 10⁴ Pa - 8.45 × 10⁴ Pa = -7.96 × 10⁴ Pa

This is a negative pressure, which means that the blood pressure at the heart would need to be 7.96 × 10⁴ Pa lower than atmospheric pressure to perfuse the brain with blood.

(b) To calculate the blood pressure at the feet of the Argentinosaurus, we can use the same formula:

P = ρgh

The height difference between the heart and the feet is:

h = 17.1 m

Substituting the given values, we get:

P = (1.06 × 10³ kg/m³) * (9.81 m/s²) * (17.1 m)

P = 1.87 × 10⁵ Pa

To convert this to torr or mm Hg, we can use the conversion factor:

1 torr = 133.322 Pa

Therefore, the blood pressure at the feet of the Argentinosaurus is:

P = (1.87 × 10⁵ Pa) / (133.322 Pa/torr) = 1.40 × 10³ torr (or mm Hg)

a. The recommended heart gauge pressure is 596 mm Hg.

b. The blood pressure at the feet is higher than at the heart, which is required to push blood up the Argentinosaurus's long neck.

(a) To calculate the required gauge pressure at the heart, we can use the hydrostatic pressure equation:

P = ρgh

where P is the gauge pressure, ρ is the density of blood, g is the acceleration due to gravity, and h is the height difference between the heart and the brain. We can solve for P:

P = ρgh = (1.06 × 10³ kg/m³)(9.81 m/s²)(17.1 m - 9.00 m) = 7.96 × 10⁴ Pa

To convert this to torr or mm Hg, we can use the conversion factor:

1 torr = 1 mm Hg = 133.3 Pa

So the required gauge pressure at the heart is:

P = 7.96 × 10⁴ Pa = 596 torr = 596 mm Hg

(b) To calculate the blood pressure at the feet, we can use the same equation but with the height difference between the heart and the feet:

P = ρgh = (1.06 × 10³ kg/m³)(9.81 m/s²)(17.1 m - 0 m) = 1.79 × 10⁵ Pa

Converting to torr or mm Hg:

P = 1.79 × 10⁵ Pa = 1340 torr = 1340 mm Hg

So the blood pressure at the feet is higher than at the heart, which is necessary to pump blood up the long neck of the Argentinosaurus.

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Answer:

a

Explanation:

Explanation:

Generally, stream flows are measured in CFS   = Cubic Feet per Second

Part b: Your interval from part a give convincing evidence of a difference between the population proportions is  depends on the interval that was obtained in part A.

If the interval does not include 0, then it gives convincing evidence of a difference between the population proportions. This is because if 0 is not included in the interval, it suggests that the difference between the two population proportions is not 0, meaning there is a difference between the two populations. However, if the interval does include 0, then it does not give convincing evidence of a difference between the population proportions, as it suggests that the difference between the two population proportions could be 0, meaning there may not be a difference between the two populations.

In conclusion, whether the interval from part A gives convincing evidence of a difference between the population proportions depends on whether the interval includes 0. If it does not include 0, then it gives convincing evidence of a difference; if it does include 0, then it does not give convincing evidence of a difference.

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Answer:

orange it is lol

Explanation:

Answer:

HELP ORANGE DOESNT LOOK LIKE A WORD ANYMORE

Explanation:

Answer:

They are gaining energy, can move and slide past each other.

Explanation:

Because as ice melts, the molocules gain energy/heat which warm them up and are able to slide/move apart from each other.

Explanation:

When you pull the sock off of the blanket, the socks gain electrons out of blanket. This makes socks slightly negatively charged. The potential energy of the socks rise whereas potential energy of the blanket reduces. This happens because of exchange of electrons between socks and blanket.

Answer:

The time period of the rope waves is  \(\overline {0.142857}\) seconds

Explanation:

The period of a wave, T is equal to 1 divided by the frequency of the wave

\(The \ period \ 'T', \, of\ a\ wave = \dfrac{1}{The \ frequency, \, 'f' \ of\ the \ wave }\)

\(T = \dfrac{1}{f}\)

The number of waves produced per second by the wave = 7 waves

Therefore;

The frequency of the wave, f = 7 complete cycles per second = 7 Hz

f = 7 Hz

\(\therefore The \ time \ period \ of \ the \ rope \ waves, T = \dfrac{1}{f} = \dfrac{1}{7 \, Hz} = \overline {0.142857} \, seconds\)

The time period of the rope waves, T = \(\overline {0.142857}\) seconds

it represents mutually exclusive and collectively exhaustive events for the experiment of tossing a coin twice C. {TT, HH} and {TH, HT}.

For events to be mutually exclusive, they cannot occur simultaneously. In this case, the events {TT, HH} represent getting two tails or two heads in the coin toss, respectively. These events are mutually exclusive because it is not possible to have both two tails and two heads at the same time in the same coin toss.

For events to be collectively exhaustive, at least one of the events must occur. In this case, the events {TH, HT} represent getting a tail followed by a head or a head followed by a tail in the coin toss. These events are collectively exhaustive because every possible outcome of the coin toss (TT, HH, TH, HT) is covered by these two events.

Option C, {TT, HH} and {TH, HT}, satisfies both conditions. The events {TT, HH} are mutually exclusive, and the events {TH, HT} are collectively exhaustive.

Options A, B, and D do not satisfy both conditions. In option A, the events {TT, HH} and {TT, HT} are not mutually exclusive since the outcome TT can occur in both. In option B, the events {HT, TH} and {HH, TH} are not collectively exhaustive as the outcome HH is not included. In option D, the events {TT, HT} and {HT, TH} are not collectively exhaustive as the outcome HH is not included.

Therefore, option C is the correct choice as it represents mutually exclusive and collectively exhaustive events for the experiment of tossing a coin twice.

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The velocity of the packet when it reaches the ground  is 121.24 m/s.

Velocity is defined as a vector measurement of the rate and direction of motion.

To calculate the velocity of the packet, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for v

Hence, the velocity of the packet is 121.24 m/s.

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Answer:

electronics getting fried do to the electromagnetic surge. (the solar flare can act like an emp)

Explanation:

Mass doesn't change. It doesn't matter where you are.

If your mass is 80 kg when you're on Earth, then your mass is 80 kg. It doesn't matter where you are, where you used to be, or where you're going tomorrow.

Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at 140°F (60°C) or hotter. The correct answer is 140°F (60°C).

Food safety is a crucial aspect of any foodservice operation. Keeping hot correct food temperatures is essential in preventing the growth of harmful bacteria. The temperature range of 140°F (60°C) to 165°F (74°C) is considered the "danger zone" for hot foods, as this range allows bacteria to grow rapidly.

Therefore, equipment such as chafing dishes, steam tables, and heated cabinets designed to hold hot foods should maintain a minimum temperature of 140°F (60°C) or hotter.

This ensures that the food remains safe to eat and reduces the risk of foodborne illness. It is also important to check the temperature of the food regularly using a thermometer to ensure that it is being held at the correct temperature.

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The given statement that net electric flux crossing an open surface is never zero, is false.

The net electric flux of an electric field through a closed surface is equal to the enclosed charge, divided by the permittivity of the free space. Where charge is taken in the unit of coulombs.

The net electric flux cross an open surface can also be zero if the is perpendicular to the direction of the field. In other word if the field lines are parallel to the surface. Electric flux is a scaler quantity. The SI unit of electric flux is N-m²/C.

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Answer: A 100-lb child stands on a scale while riding in an elevator. Then, the scale reading approaches to 100lb, while the elevator slows to stop at the lowest floor

Explanation: To find the correct answer, we need to know more about the apparent weight of a body in a lift.

                             \(ma=mg-N\\N=mg-ma\)    i.e. during riding the scale reads a weight less than that of actual weight.

Thus, from the above explanation, it is clear that ,when the elevator moves to the lowest floor slowly and stops, then the apparent weight will become the actual weight.

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Answer: it strikes the the car in the direction of relative velocity of rain with respect to car.

Explanation:

As the rain is falling vertically downwards, it strikes the the car in the direction of relative velocity of rain with respect to car. This is the reason why the front windscreen get wet and the back screen remains dry.

Answer:

because of their web feet

Explanation:

oke

Answer:

Reptiles have an enormous number of extremely minuscule hairs on the stack of their feet called setae. These little cushions subsequently radically increment the surface zone and come in close contact with the surface on which the reptile is creeping, so the Van der Waals forces kick in.

Explanation:

Hope this helped!

Answer:

490 N

Explanation:

Fnet = ma

       = 65*6

       = 390 N

Net force is applied force (Fapp) and friction force (Ff) in the opposite direction.

Fnet= Fapp - Ff

390=x-100

x=490N

No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.

This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.

i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.

ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.

The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.

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Charged matter experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. Positive or negative charges can exist in an electric field. Contrary charges attract one another while like charges repel one another.

1) a sphere 8 cm in diameter has a charge of 4 uc placed on its surface. what is the electric field intensity a) at the surface, b) 2 cm outside the surface, c) 2 cm inside the surface?

"Ф = 4.5176x10⁵ N . m² / C"

In this instance, two formulas are required to determine the sphere's electric flux.

First, the electric flow is determined using the following formula:

Ф = E * A (1) 

Where:

Field of electricity

A: The sphere's diameter

We use the following formula to determine the electric field E:

E = K * q / r² (2)

If we switch out (2) for (1), we get the following:

Ф = K * q * A / r² (3) 

Finally, we need to understand the formula for calculating a sphere's surface area, which is as follows:

A = 4πr² (4) 

Substituting into (3):

= K * Q * 4r2 / r2 disregarding r2

Ф = K * Q * 4π (5)

All that is left to do is swap out the given values and find the sphere's electric flux:

Ф = 8.98755x10⁹ * 4x10⁻⁶ * 4 * π

Ф = 4.5176x10⁵ N . m² / C

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The toy percentage efficiency is 23%.

Solution:

The kinetic energy is:

KE = \(\frac{1}{2} mv^{2}\)

KE = \(\frac{1}{2} *(150)(0.25)^2\)

KE = 4.6875 J

The elastic potential energy is:

E = 0.5 x 4 x 10 = 20

E = 100 J

The percentage efficiency of the toy is found as:

%n = \(\frac{4.6875*100}{20}\)

%n = 23%

The more the elastic material is stretched the greater the potential for elastic energy storage. The amount of elastic potential energy stored in a stretched spring can be calculated using the formula: Work is done when the spring expands and contracts.

Springs store elastic potential energy. If no inelastic deformation has occurred, the work done is equal to the stored elastic potential energy. As the spring constant increases for a constant applied force, the spring deflection decreases as the spring stiffness increases.

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Answer: OLEDs

Explanation:

The nanotechnology uses the surface of the carbon materials to generate the electricity. The evaporation of water on the surface of carbon materials helps in generation of electrical energy due to generation of thermal energy.

OLEDs can be defined as solid-state devices that comprises of organic molecules like carbon that will create electricity by exposing a surface for generation of thermal energy.

Answer:

Schrodinger's cat explains that the state of an object is not known until  

an observer observes the state - therefor if the cat is in an enclosed box and the probability of some toxic substance escaping is 1/2, the cat is 1/2 dead and 1/2 alive until its actual state is observed by an external observer. An old saying "is the moon really there if no one is looking at it"

Answer:

v

Explanation:

bv

The majority of the mass of the Milky Way lies farther out than the Sun's orbit. The statement is True.

This is because the Milky Way is a spiral galaxy, and the spiral arms contain most of the stars and gas. The Sun is located in one of the spiral arms, but it is not in the center of the galaxy.

The center of the galaxy is much more massive than the Sun's location, and it contains a supermassive black hole.

The Milky Way has a mass of about 1.5 trillion times the mass of the Sun. The Sun's orbit is about 25,000 light-years from the center of the galaxy.

The spiral arms extend out to about 50,000 light-years from the center of the galaxy. This means that the majority of the mass of the Milky Way lies farther out than the Sun's orbit.

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Strange as it may seem, the statement in the question appears to be TRUE.  

-- Before the shot, neither the cannon nor the ball is moving, so their combined momentum is zero.  

-- Since momentum is conserved, we know immediately that their combined momentum AFTER the shot also has to be zero.

-- (20g is rather puny for a "cannonball" ... about the same weight as four nickels. But we'll take your word for it and just do the Math and the Physics.)

-- Momentum = (mass) x (velocity)

After the shot, the momentum of the cannonball is

(0.02 kg) x (100 m/s ==> that way)

Momentum of the ball = 2 kg-m/s ==> that way.

-- In order for both of them to add up to zero, the momentum of the cannon must be (2 kg-m/s this way <==) .

Momentum of cannon = (5 kg) x (V m/s this way <==)

2 kg-m/s this way <== = (5 kg) x (V m/s this way <==)

Divide each side by (5 kg):

V m/s  =  (2/5) m/s this way <==

Speed of recoil of the cannon = -- 0.4 m/s

Answer:

The greater the density of a medium, the slower the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is inversely proportional to m, the mass of the oscillating object.

Air molecules have more energy at higher temperatures, which means they vibrate faster. This allows the sound waves to also travel faster because they are propelled by collisions between the molecules