Converting mass to moles ccc scale proportion and quantity the table shows how many moles are in 6 grams of four elements the equation shows how to use carbon molar mass to find the moles of carbon

Answers

Answer 1

Converting mass to moles ccc requires knowing the molar mass of the substance and using it to divide the given mass to find the number of moles

Moles ccc is a unit used to measure the amount of substance, particularly in chemistry. It is defined as the number of atoms, molecules, or ions in 12 grams of pure carbon-12. One mole of any substance contains Avogadro's number of particles, which is approximately 6.022 x 10^23.

To convert mass to moles on the ccc scale, you need to know the molar mass of the substance. Molar mass is the mass of one mole of a substance, expressed in grams per mole. To find the number of moles of a substance, you divide the given mass by its molar mass.

For example, the table given shows how many moles are in 6 grams of four elements: oxygen, sulfur, sodium, and iron. To find the number of moles of oxygen, you divide 6 grams by its molar mass, which is 16 grams per mole. This gives you 0.375 moles of oxygen.

The equation given shows how to use carbon molar mass to find the moles of carbon. The molar mass of carbon is 12 grams per mole. Therefore, if you have a sample of carbon with a mass of 24 grams, you can find the number of moles by dividing 24 grams by 12 grams per mole, which equals 2 moles of carbon.

In summary, converting mass to moles ccc requires knowing the molar mass of the substance and using it to divide the given mass to find the number of moles. The moles ccc scale is a useful unit for measuring the amount of substance in chemistry.

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Related Questions

True/False: Solubility is the ease at which a substance burns.

Answers

Answer:

False

Explanation:

Solubility refers to the ability of a substance to dissolve in a solvent, usually a liquid. It is a measure of the amount of a substance that can dissolve in a given amount of solvent at a given temperature. Solubility is not related to the ability of a substance to burn.

Cytokinesis happens differently for plant and animal cells. Both separate cytoplasm between two new daughter cells. However, which type of cell cytokinesis looks like a balloon being separated by a string being pulled tightly between them? Question 1 options: Animal Cell Cytokinesis Both Plant Cell cytokinesis Neither

Answers

Answer:

animal cell

Explanation:

Cytokinesis -

It refers to the process of cell division, which takes place during mitosis, is known as cytokinesis.

The process of cytokinesis is different for animal cell and plant cell.

Where, in case of plant cell, a separation, known as cell plate is formed along the center of the parent cell, which is responsible for the separation of the cells.Whereas, in case of animal cell, the plasma membrane contracts itself along the center, until the two daughter cells are separated from each other.

Hence, from the given information of the question,

The correct answer is animal cell.

How is the population of axolotls bred in captivity different from the population that lives in the wild? Pls Help :(



1. Only captive axolotls retain the features of a juvenile as adults.


2. Wild axolotls can survive on land.


3. The skin of axolotls bred in captivity usually has little to no coloring.


4. Only axolotls bred in captivity can regrow limbs

Answers

The populations of axolotls that are raised in captivity are able to regrow limbs but those grown in the wild can not.

What are the axolotls ?

The axolotls are one of the populations of the organisms that are facing the threat of extinction. This implies that if nothing is seriously done to ensure that the populations do not go into extinction, they would all soon disappear from the face of the earth.

The response to this situation have been to ensure that the there is a conscious effort to make sure that the axolotls does not disappear from the face of the earth and most of this effort have been made by raising some populations in captivity. The populations raised in the wild are different from those raised in captivity.

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Si un carabinero está controlando velocidad en la carretera y pistolea mi vehículo, está midiendo mi rapidez media

Answers

Answer:

Si.

Explicación:

Si un oficial de policía está controlando la velocidad en la carretera y dispara al vehículo con una pistola de radar. El policía mide la velocidad media del coche con esta pistola de radar. Una pistola de radar es un dispositivo que se utiliza para medir la velocidad de los objetos en movimiento que fue inventado por Bryce K. Brown en el año de 1954. La pistola de radar se utiliza con fines policiales para calcular la velocidad de los vehículos en movimiento.

Which option shows a correctly balanced chemical reaction?

Which option shows a correctly balanced chemical reaction?

Answers

Answer:

the second one

Explanation:

8 hydrogens per side

one sulfur per side

4 oxygen per side

8 iodine per side

The second choice. That is because all the elements are equal in both sides.

Drag each sentence to the correct location on the image.
Identify the relationship between kinetic energy (KE) and gravitational potential energy (PE) for the cyclist at each position.
KE increases
while PE
decreases.
PE is at a
minimum.
KE decreases
while PE
increases.
PE is at a
maximum.

Drag each sentence to the correct location on the image.Identify the relationship between kinetic energy

Answers

When the cyclist goes downhill, their energy increases and their potential energy decreases At the same time, they move down faster and their energy increases. The matchup of the images is given in the image attached.

What is the relationship?

If PE is lowest, this means the cyclist is at the lowest point, like at the bottom of a hill or in a valley. Right now, the cyclist has the lowest amount of potential energy due to gravity because they are the closest to the ground.

Therefore, when a cyclist goes uphill, their energy decreases but their potential energy increases.

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Drag each sentence to the correct location on the image.Identify the relationship between kinetic energy

How many milliliters of 0. 250M NaOH is required to neutralize 30. 4mL of 0. 152M HCl?

Answers

Approximately 18.4832 mL of 0.250 M NaOH is required to neutralize 30.4 mL of 0.152 M HCl.

To determine the volume of 0.250 M NaOH required to neutralize 30.4 mL of 0.152 M HCl, we can use the concept of stoichiometry and the balanced chemical equation for the neutralization reaction between NaOH and HCl:

NaOH + HCl -> NaCl + H2O

From the balanced equation, we can see that the stoichiometric ratio between NaOH and HCl is 1:1. This means that for every mole of NaOH, we require an equal number of moles of HCl to neutralize.

First, let's calculate the number of moles of HCl present in the given volume:

Moles of HCl = concentration of HCl * volume of HCl

= 0.152 M * 30.4 mL

= 4.6208 mmol (millimoles)

Since the stoichiometric ratio is 1:1, the number of moles of NaOH required to neutralize the HCl is also 4.6208 mmol.

Now, let's calculate the volume of 0.250 M NaOH needed to contain 4.6208 mmol:

Volume of NaOH = (moles of NaOH) / (concentration of NaOH)

= 4.6208 mmol / 0.250 M

= 18.4832 mL

Therefore, approximately 18.4832 mL of 0.250 M NaOH is required to neutralize 30.4 mL of 0.152 M HCl.

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propose an explanation for the effect of acid and base on the solubility of salicylic acid in water.

Answers

Acid will increase the solubility of salicylic acid in water and base will decrease the solubility of salicylic acid in water.

Salicylic acid, an organic acid, breaks down to lose a proton to the carboxylic acid functional group in an aqueous solution. An intramolecular in hydrogen bond is created when the resultant carboxylate ion () interacts intramolecularly with the hydrogen atom within the hydroxyl group (-OH). Acid will increase the solubility of salicylic acid in water and base will decrease the solubility of salicylic acid in water.

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What subatomic particles cause the mass of the atom to change?

Answers

Subatomic particles that cause the mass of an atom to change are called isotopes. Isotopes are atoms of the same element that have an unequal number of neutrons in their nuclei.

This difference in the number of neutrons causes the mass of the atom to vary. For example, the most common form of carbon is Carbon-12, which has an atomic mass of 12 and contains 6 protons and 6 neutrons, while Carbon-14 has an atomic mass of 14 and contains 6 protons and 8 neutrons. The extra two neutrons make Carbon-14 slightly heavier than Carbon-12. The number of neutrons in an atom is determined by the number of protons and the element's atomic number, so when the number of neutrons changes, the mass of the atom changes as well. Isotopes can be naturally occurring or artificially created, and their properties may vary depending on the number of neutrons in the nucleus. Overall, isotopes are subatomic particles that cause the mass of the atom to change.

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as a system reaches thermal equilibrium, _____ has been transferred from areas of high to low _____.

Answers

As a system reaches thermal equilibrium, heat has been transferred from areas of high to low temperature.

In other words, when a system reaches thermal equilibrium, there is no longer a temperature difference between its different parts, and the heat has been evenly distributed throughout the system. This can happen through a variety of mechanisms, such as conduction, convection, and radiation, and the specific mechanism will depend on the properties of the system and the materials it is made of. Once thermal equilibrium has been reached, the system will remain at a constant temperature until something changes, such as the addition or removal of heat or a change in the materials or structure of the system.

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Atom X has the following outer (valence) electron configuration: ns
2
Atom Y has the following outer (valence) electron configuration: ns
2
,np
3
If atoms X and Y form an ionic compound, what is the predicted formula for it? Explain.

Answers

The predicted formula for the ionic compound formed by the atoms X and Y is X₃Y₂.

Atom X and Atom Y belong to Group 13 and Group 15 of the periodic table, respectively. They will form an ionic compound because they have different electron configurations. As a result, atom Y must gain three electrons to become stable, while atom X must lose two electrons to become stable.

This indicates that atom X will form an ion with a +2 charge, while atom Y will form an ion with a -3 charge. They will combine in a 3:2 ratio to form an ionic compound. The predicted formula for the ionic compound formed between the two elements is X₃Y₂. The number of atoms present in the compound is represented by the subscripts 3 and 2.

Therefore, the predicted formula for the ionic compound formed by the atoms X and Y is X₃Y₂.

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Methylamine (CH3NH2) is a weak base with Kb = 4.47 x 104 at 25°C. a. Write down its reaction with water and identify acids and bases including conjugated acids and bases b. If the initial concentration of CH3NH2 (aq) is 0.0251 M, then what is the [H+] at the equilibrium? What is the pH? Show your work C. At equilibrium, if you add one drop of Na2CO3 (aq) to a solution of methylamine, will the solution become more acidic or basic? Explain

Answers

The reaction of methylamine with water is; CH₃NH₂ (aq) + H₂O (l) ⇌ CH₃NH₃⁺ (aq) + OH⁻ (aq), the pH of the solution is 11.42, and  the solution will become more acidic.

The reaction of methylamine with water is;

CH₃NH₂ (aq) + H₂O (l) ⇌ CH₃NH₃⁺ (aq) + OH⁻ (aq)

In this reaction, CH₃NH₂ is a weak base and H₂O is the acid. The conjugate acid of CH₃NH₂ is CH₃NH₃⁺ and the conjugate base of H₂O is OH⁻.

The equilibrium constant expression for this reaction is;

Kb = [CH₃NH₃⁺][OH⁻]/[CH₃NH₂]

At equilibrium, we can assume that x moles of CH₃NH₂ react with x moles of H₂O to form x moles of CH₃NH₃⁺ and x moles of OH⁻. Therefore, we can write;

Kb = x₂ / (0.0251 - x)  

Solving for x, we get;

x = 0.00263 M

Therefore, the concentration of OH⁻ at equilibrium is 0.00263 M. To find the concentration of H⁺, we can use the equation;

Kw = [H⁺][OH⁻]

where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. Solving for [H⁺], we get;

[H⁺] = Kw / [OH⁻] = 1.0 x 10⁻¹⁴ / 0.00263 = 3.8 x 10⁻¹² M

Taking the negative logarithm of [H⁺], we get;

pH = -log[H⁺] = -(-11.42) = 11.42

Therefore, the pH of the solution is 11.42.

When you add one drop of Na₂CO₃ (aq) to the solution of methylamine, the Na₂CO₃ will react with water to produce Na⁺ and OH⁻. The OH⁻ ions will react with the CH₃NH₃⁺ ions in the solution to form CH₃NH₂ and H₂O.

This reaction will shift the equilibrium to the left, decreasing the concentration of OH⁻ and increasing the concentration of H⁺. Therefore, the solution will become more acidic.

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when copper metal is heated it reacts with a gas in the air . what iz the name of the product formed when copper reacts with a gas in the air ?​

Answers

Answer:

Heated copper metal reacts with oxygen to form the black copper oxide. The copper oxide can then react with the hydrogen gas to form the copper metal and water.

Answer:

answer-COMPOUND COPPER OXIDE

Gold is one of the densest substances known, with a density of 19. 3 g/cm^3. If the gold in the crown was mixed with a less-valuable metal like bronze or copper. How would that affect its density?

Answers

if gold has a rare, high density then it would sink quickly. If mixed substances that are less-valued, are added to the gold crown (remember that gold is rare and very dense which makes it special) then we can assume the cheap substances are less dense, thus making the crown FLOAT more rather than sink (I say more, because unless the crown was extremely mixed with cheap material then it could possibly float but it depends on how much is in the crown). Summary: The crown would either be lighter and float, or barely be sunken due to the less-dense substance.

*Hint to think about: People consider cheaper things lighter such as plastic ring/less dense  for example, compared to a silver ring which is heavier/more dense (btw heavy does not always mean high density, it depends on the liquid density )

Explanation:

this carrier molecule in the etc can bypass the next carrier in the chain and transfer electrons directly to oxygen producing two highly potent cellular toxins-hydrogen peroxide (h2o2) and superoxide radical (o2-). what is this carrier molecule?

Answers

This transport molecule is a flavoprotein. Because this carrier molecule in the chain can bypass the following carrier and transmit electrons to oxygen directly, hydrogen peroxide is produced.

Which is a pair of extremely strong cellular poisons. Proteins known as flavoproteins include a nucleic acid derivative of riboflavin. The elimination of radicals that cause oxidative stress, photosynthesis, and DNA repair are just a few of the biological processes that flavoproteins are engaged in. A group of two or more atoms bound together by the attractive forces known as chemical bonds is referred to as a molecule; depending on the context, the term may or may not include ions that meet this requirement.

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Explain how a piece of granite becomes a piece of gneiss?


sorry if this is the wrong subject, couldn't find geology.

Answers

Hi, Granite is a rock that forms when magma cools underground. When Granite is subjected into intense heat and pressure, it turns into gneiss. I hope this helps!

What is the pOH of water?

What is the pOH of water?

Answers

Answer:

A. 7

(assuming the water is neutral)

4. Explain why diisopropylamine is a stronger base than aniline nh2 diisopropylamine aniline.

Answers

Answer: Cyclohexylamine is a stronger base than aniline because in aniline electron pair is involved in conjugation, which makes the electron pair unavailable, where as in cyclohexyl amine, the −NH

2

 group is out side the ring and there is no resonance in the ring also, thereby the lone pair present on the nitrogen is freely available, resulting in a stronger base.

Explanation: I dont have one...

7.70 mol of a monatomic ideal gas, kept at the constant pressure 1.62E+5 Pa, absorbs 3870 J of heat. If the change in internal energy is zero and this process occurs with a change in temperature 24.2 °C, How much did the volume of the gas change during this process?

Answers

The volume of the gas changed by approximately 0.280 m³ during the process.

To find the change in volume of the gas during the process, we can use the equation:

ΔQ = nCvΔT

where: ΔQ is the heat absorbed (3870 J),

n is the number of moles of the gas (7.70 mol),

Cv is the molar heat capacity at constant volume,

ΔT is the change in temperature (24.2 °C = 24.2 K).

Since the change in internal energy is zero (ΔU = 0), we know that ΔU = ΔQ + ΔW, where ΔW is the work done by the gas. In this case, since the process is at constant pressure, we can write ΔW = PΔV, where P is the pressure (1.62E+5 Pa) and ΔV is the change in volume.

Now, using the ideal gas law, we can express ΔV in terms of ΔT:

ΔV = (nRΔT) / P

where R is the ideal gas constant (8.314 J/(mol·K)).

Substituting the given values into the equations:

ΔQ = nCvΔT

3870 J = 7.70 mol × Cv × 24.2 K

From the equation ΔV = (nRΔT) / P, we have:

ΔV = (7.70 mol × 8.314 J/(mol·K) × 24.2 K) / (1.62E+5 Pa)

Simplifying the equations and performing the calculations:

ΔQ = nCvΔT

3870 J = 7.70 mol × Cv × 24.2 K

Cv ≈ 2.00 J/(mol·K) (calculated from the above equation)

ΔV = (7.70 mol × 8.314 J/(mol·K) × 24.2 K) / (1.62E+5 Pa)

ΔV ≈ 0.280 m³

Therefore, the volume of the gas changed by approximately 0.280 m³ during this process.

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which is the law of conservation of matter?

Answers

Answer:

Matter cannot be created nor destroyed, but it can change form.

Explanation:

Matter cannot create itself, neither can it be destroyed. It can, however, change form. We see this in the case of H2O. H2O can change from being a liquid form (water) to a gas form (vapor), but it can never be eliminated from existence. Even though we can't see the vapor, that same liquid that we evaporated still exists, just in a different form.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

In simple terms law of conservation of matter asserts that the amount of matter in any system that is closed to the transfer of matter (in and out) remains constant.

hope it helps!

which best explains why water dissolves most salts?

Answers

Answer:

where are the answers?

Explanation:

How many elements
are in the mixture
pictured?

A. 7
B. 4
C. 3
D. 2

How many elementsare in the mixturepictured?A. 7B. 4C. 3D. 2

Answers

There are 3 elements, (option C) is the right option.

The element can be defined as one of the simplest chemical substances that cannot be decomposed in a chemical reaction and are made up of atoms all having the same number of protons.

As stated above, all elements are made up of backbone structures called atoms. The atoms of an element are the same.

According to this question, an image is given showing atoms of different colors. Each atom has the same color and belongs to the same element.

Since there are there colors, this means that there are three elements in the picture.

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In a gas mixture of 35% he and 65% o2 the total pressure is 800 mmhg. What is the partial pressure of o2?

Answers

The partial pressure of O₂ in the gas mixture of 35% He and 65% O₂, is 520 mmHg.

How to calculate the partial pressure of a gas

To find the partial pressure of O₂ in a gas mixture, we'll use the concept of Dalton's Law of Partial Pressures. Here's a step-by-step explanation:

1. Understand the problem: We have a gas mixture containing 35% He and 65% O₂ with a total pressure of 800 mmHg. We need to find the partial pressure of O₂.

2. Use Dalton's Law of Partial Pressures: According to Dalton's Law, the total pressure of a gas mixture is the sum of the partial pressures of its individual gases. Mathematically, it's written as:
P(total) = P(He) + P(O₂)

3. Calculate the partial pressure of O₂: Since we know that O₂ makes up 65% of the gas mixture, we can find the partial pressure of O₂ by multiplying the total pressure by the percentage of O₂:
P(O₂) = P(total) × (percentage of O₂)
P(O₂) = 800 mmHg × 0.65

4. Solve for P(O₂):
P(O₂) = 520 mmHg

So, the partial pressure of O₂ in the gas mixture is 520 mmHg.

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can someone do these problems and show work? thanks

can someone do these problems and show work? thanks

Answers

1. The answer is 217 K and the law is Charles law.

2. The law that is behind this is the Charles law. The temperature was increased and the volume increased accordingly.

What is the Charles law?

Charles' Law, is a basic gas law in physics and chemistry that explains the relationship between the temperature and volume of a gas at constant pressure.

Charles' Law states that the volume of a gas is precisely proportional to its absolute temperature for a set quantity of gas under a constant pressure.

We know that;

V1/T1 = V2/T2

V1T2 = V2T1

T2 = 200 * 407/375

= 217 K

The law that is involved is Charles law

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in one of your reaction cuvettes you've added 1.0 ml of dtnb, 20 ul of 30 um acsch, 20 ul of 5 um tacrine, and 20 ul of ace. what are the final concentrations of acsch and tacrine in that reaction? be sure to show units and your calculations.

Answers

Final concentrations of acsch and tacrine in that reaction is 600x10⁻¹²mm.

What is the purpose of tacrine?

The symptoms for mild to moderate Hypertension are managed by tacrine. Alzheimer's disease cannot be cured or prevented from worsening with tacrine. However, some Alzheimer's sufferers may benefit from tacrine since it helps them think more clearly.

How would you define the reaction?

The behavior, procedure, or event of responding. B: opposition or resistance to a power, influence, or movement, particularly: a propensity for an old-fashioned and typically obsolete social or political order or policy.

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HELP! Out of the following compounds, identify the ones that are
polar covalent.

H2O


NCl3


AuCl3


ClO2


SF4


SO3

Answers

ClO\(_2\), H\(_2\)O are the polar covalent compounds, since all of these chemicals have a dipole moment.

What is polar covalent compound?

Polar covalent compounds are electrical conductors. Polar compounds comprise chemical compounds held together through polar covalent bonds.

A polar compound is a chemical species that has two or even more atoms that are linked together by polar covalent bonds that share electrons irregularly. ClO\(_2\), H\(_2\)O are the polar covalent compounds, since all of these chemicals have a dipole moment.

Therefore,  ClO\(_2\), H\(_2\)O are the polar covalent compounds.

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what are some of the alternative, unconventional resources for oil and natural gas?

Answers

There are several unconventional resources for oil and natural gas, including shale gas, tight gas, coalbed methane, and oil sands.

These resources are unconventional because they require specialized extraction techniques, such as hydraulic fracturing and horizontal drilling. Shale gas, for example, is extracted from shale rock formations by injecting a mixture of water, sand, and chemicals at high pressure to release the gas trapped within the rock. Coalbed methane is extracted from coal seams by pumping out water and lowering the pressure, allowing the gas to be released.

Oil sands, on the other hand, are a mixture of sand, water, and bitumen (a heavy crude oil) that require surface mining or in-situ methods to extract. While unconventional resources can provide a significant source of oil and gas, their extraction can be controversial due to environmental concerns and potential impacts on local communities.

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Which of the following organisms would NOT be in the first trophic level of an energy pyramid?
A. dog
B. tree
C. algae
D. grass

Answers

dog!

this is because the first energy comes from plants bc they can make their own food— therefore, energy :)

The dog would not  be in the part of first trophic level of an energy pyramid.

What is energy pyramid?

Energy pyramid is defined as a model that show the flow of energy from one tropic or feeding level to next tropic or feeding level in an ecosystem.

There are basically three energy pyramid.

Pyramid of numberPyramid of biomassPyramid of energy

Trophic level is defined as the source based on their nutrition or food, organisms occupy a specific place in a food chain.

First trophic level contains only green plants and producers. Their plants and product where consumed by second level of organisms.

Thus, the dog would not  be in the part of first trophic level of an energy pyramid.

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HD​:pSun ​=rhoMan ​=pTue ​=pWed ​=pThu ​=pFri ​=pSat ​=71​ Ha​ : Not all proportions are equal. HD​: Not all proportions are equal. Ha​:pSun ​=pMon ​=pTue ​=rhoWed ​=pThu ​=rhoFri ​=rhoSat ​=71​ HD​: Not all proportions are equal. Ha​:pSun ​=pMon ​=pTue ​=pWed ​=pThu ​=rhoFri ​=pSat ​=71​ HD​:pSun ​=pMon ​=pTue ​=pWod ​=pThu ​=pFri ​=pSat ​=71​ Ha​ : All proportions are equal. Find the value of the test statistic. (Round your answer to three d: Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0−​. We conclude that the proportion of traffic Reject HD​. We conclude that the proportion of traffic acciden Reject HD​. We conclude that the proportion of traffic acciden Do not reject H0−​We conclude that the proportion of traffic Compute the percentaqe of traffic accidents occurring on each day What day has the highest percentage of traffic accidents? Sunday Monday Tuesday Wednesday Thursday Friday Saturday Based on 2017 sales, the six top-selling compact showed the following number of vehicles sold. Use a goodness of fit test to determine if the sample data indicate that the market shares for compact cars in the city are different than the market shares suggested by nationwide 2017 sales. Use a 0.05 level of significance. State the null and alternative hypothesis. Ha​ : The market shares for the compact cars in the city are different for at least one of the nationwide market shares listed. o: The market shares for the compact cars in the city do not differ from market shares nationwide. : The market shares for the compact cars in the city are different from at least one of the nationwide market shares listed. Ha​ : The market shares for the compact cars in the city are not different from any of the natione Ha​ : The market shares for the compact cars in the city do not differ from market shares nationwide. "the test statistic.(Round your answer to two decimal places.) d the rho-value. (Round your answer to four decimal places.) Reject H0​. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares. Do not reject H0​. We conclude that market shares for the compact cars in the city differ from the nationwide market shares. Do not reject H0​. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares.

Answers

The p-value is greater than the significance level of 0.05, we do not reject the null hypothesis and conclude that all proportions are equal.

Firstly, let us conduct a Chi-square test of independence of categorical variables based on the information given above. We have three different cases of hypothesis testing that we have to solve one by one.


Case 1: HD​:pSun ​=rhoMan ​=pTue ​=pWed ​=pThu ​=pFri ​=pSat ​=71​
Ha​ : Not all proportions are equal.


Test Statistic
For this hypothesis, we need to compute the test statistic that is given as:
\($$\chi^2=\sum_{i=1}^{k}\frac{(O_i-E_i)^2}{E_i}$$\)  where k is the number of groups/categories. Since we have 7 days of the week, \(k = 7. $O_i$ and $E_i$\) are the observed and expected frequencies respectively.  
Here, we have equal proportions of 71 for each day of the week.
Therefore, the expected frequencies are also equal to 71.
\($$E_i = 71, i=1,2,3,4,5,6,7.$$\)

We also have to use the given information to compute the observed frequencies,
\($O_i$.$$O_1 = 90, O_2 = 99, O_3 = 122, O_4 = 123, O_5 = 130, O_6 = 160, O_7 = 126$$\)

Therefore, the test statistic can be computed as \($$\chi^2=\frac{(90-71)^2}{71} + \frac{(99-71)^2}{71} + \frac{(122-71)^2}{71} + \frac{(123-71)^2}{71} + \frac{(130-71)^2}{71} + \frac{(160-71)^2}{71} + \frac{(126-71)^2}{71}$$$$\chi^2=180.14\)

Now we have to find the p-value of this test. Since the number of degrees of freedom is k - 1 = 7 - 1 = 6, the p-value can be found using the chi-square distribution table with 6 degrees of freedom at the 0.05 significance level. The p-value is 0.000014. ConclusionSince the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that not all proportions are equal.

The total number of accidents is \($$90+99+122+123+130+160+126=850$$\)

The percentage of accidents occurring on each day of the week can be found as follows:
\($$Sunday: $$\frac{90}{850}\times 100 = 10.59\%$$Monday: $$\frac{99}{850}\times 100 = 11.65\%$$Tuesday: $$\frac{122}{850}\times 100 = 14.35\%$$Wednesday: $$\frac{123}{850}\times 100 = 14.47\%$$Thursday: $$\frac{130}{850}\times 100 = 15.29\%$$Friday: $$\frac{160}{850}\times 100 = 18.82\%$$Saturday: $$\frac{126}{850}\times 100 = 14.82\%$$\)

From the above percentages, we can see that Friday has the highest percentage of traffic accidents.


Case 2:
HD​: Not all proportions are equal.

Ha​:pSun ​=pMon ​=pTue ​=rhoWed ​=pThu ​=rhoFri ​=rhoSat ​=71


Test Statistic

\($$E_1 = 78.57, E_2 = 86.57, E_3 = 106.86, E_4 = 107.43, E_5 = 113.57, E_6 = 139.43, E_7 = 109.14$$\)

We already know the observed frequencies,
\($$O_1 = 90, O_2 = 99, O_3 = 122, O_4 = 123, O_5 = 130, O_6 = 160, O_7 = 126.$$\)

The test statistic can be computed as:


\($$\chi^2=\frac{(90-78.57)^2}{78.57} + \frac{(99-86.57)^2}{86.57} + \frac{(122-106.86)^2}{106.86}+ \frac{(123-107.43)^2}{107.43} + \frac{(130-113.57)^2}{113.57} + \frac{(160-139.43)^2}{139.43} + \frac{(126-109.14)^2}{109.14} $$$$ \implies \chi^2=34.98$$\)
The p-value is 0.000001.
Conclusion- Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that not all proportions are equal.

Case 3:

All proportions are equal.
Test Statistic
The expected frequency for each group is
\(E = \frac{850}{7} = 121.43\)
We already know the observed frequencies,
\($$O_1 = 90, O_2 = 99, O_3 = 122, O_4 = 123, O_5 = 130, O_6 = 160, O_7 = 126.$$\)


The test statistic is,


\($$\chi^2=\frac{(90-121.43)^2}{121.43} + \frac{(99-121.43)^2}{121.43} + \frac{(122-121.43)^2}{121.43} + \frac{(123-121.43)^2}{121.43} + \frac{(130-121.43)^2}{121.43} + \frac{(160-121.43)^2}{121.43} + \frac{(126-121.43)^2}{121.43}} \\\implies \chi^2=9.17$$\)

The p-value is 0.1664.

Since the p-value is greater than the significance level of 0.05, we do not reject the null hypothesis and conclude that all proportions are equal.

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6. Calculate the new pressure in atm if 2.45 L of a gas at a pressure of 1.20 atm is contracted to a new
volume of 2.20 L

Answers

Answer:

\(\boxed {\boxed {\sf x \approx 1.34 \ atm}}\)

Explanation:

Since we are dealing with temperature and pressure, we must use Boyle's Law. This states that the pressure is inversely proportional to the volume. The formula is:

\(P_1V_1=P_2V_2\)

Where P is the pressure and V is the volume.

We know the original pressure (P₁)  of the gas is 1.20 atmospheres and the volume (V₁) is 2.45 liters.

\(1.20 \ atm * 2.45 \ L = P_2V_2\)

We also know the gas is contracted to a new volume of 2.20 liters (V₂) , but we do not know the pressure (P₂). We can use x.

\(1.20 \ atm *2.45 \ L = x * 2.20 \ L\)

We can solve the left side of the equation and multiply.

\(2.94 \ atm *L= x*2.20 \ L\)

We are trying to find the new pressure (x), so we must isolate the variable. It is being multiplied by 2.20 liters. The inverse of multiplication is division, so we divide both sides by 2.20 L.

\(\frac {2.94 \ atm *L}{2.20 \ L}=\frac{x*2.20 \ L}{2.20 \ L}\)

\(\frac {2.94 \ atm *L}{2.20 \ L}=x\)

The units of liters cancel.

\(\frac {2.94 \ atm}{2.20 \ }=x\)

\(1.33636363636 \ atm =x\)

The original measurements have 3 significant figures, so our answer should have the same. For the number we found, that is the hundredth place.

The 6 in the thousandth place tells us to leave the 3 in the hundredth place.

\(1.34 \ atm \approx x\)

The new pressure is approximately 1.34 atmospheres.

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