What mass of Fe(OH)3 is produced when 35 mL of 0.250 M Fe(NO3)3 solution is mixed with 55 mL of a 0.180 M
KOH solution? (this is a limiting reactant problem).

Answers

Answer 1

Answer:

0.35 g.

Explanation:

We'll begin by calculating the number of mole of Fe(NO3)3 in 35 mL of 0.250 M Fe(NO3)3 solution.

This is illustrated below:

Molarity of Fe(NO3)3 = 0.250 M

Volume = 35 mL = 35/1000 = 0.035 L

Mole of Fe(NO3)3 =?

Molarity = mole /Volume

0.250 = mole of Fe(NO3)3 / 0.035

Cross multiply

Mole of Fe(NO3)3 = 0.25 x 0.035

Mole of Fe(NO3)3 = 8.75×10¯³ mole

Next, we shall determine the number of mole of KOH in 55 mL of 0.180 M

KOH solution. This is illustrated below:

Molarity of KOH = 0.180 M

Volume = 55 mL = 55/1000 = 0.055 L

Mole of KOH =.?

Molarity = mole /Volume

0.180 = mole of KOH /0.055

Cross multiply

Mole of KOH = 0.180 x 0.055

Mole of KOH = 9.9×10¯³ mole.

Next, we shall write the balanced equation for the reaction. This is given below:

3KOH + Fe(NO3)3 —> Fe(OH)3 + 3KNO3

From the balanced equation above,

3 moles of KOH reacted with 1 mole of Fe(NO3)3 to produce 1 mole of Fe(OH)3.

Next, we shall determine the limiting reactant. This can be obtained as follow:

From the balanced equation above,

3 moles of KOH reacted with 1 mole of Fe(NO3)3.

Therefore, 9.9×10¯³ mole of KOH will react with = (9.9×10¯³ x 1)/3 = 3.3×10¯³ mole of Fe(NO3)3.

From the above illustration, we can see that only 3.3×10¯³ mole out of 8.75×10¯³ mole of Fe(NO3)3 given is needed to react completely with 9.9×10¯³ mole of KOH.

Therefore, KOH is the limiting reactant and Fe(NO3)3 is the excess reactant.

Next, we shall determine the number of mole of Fe(OH)3 produced from the reaction.

In this case, we shall use the limiting reactant because it will give the maximum yield of Fe(OH)3 as all of it is consumed in the reaction.

The limiting reactant is KOH and the mole of Fe(OH)3 produce can be obtained as follow:

From the balanced equation above,

3 moles of KOH reacted to produce 1 mole of Fe(OH)3.

Therefore, 9.9×10¯³ mole of KOH will react to produce = (9.9×10¯³ x 1)/3 = 3.3×10¯³ mole of Fe(OH)3.

Finally, we shall convert 3.3×10¯³ mole of Fe(OH)3 to grams. This can be obtained as follow:

Molar mass of Fe(OH)3 = 56 + 3(16 + 1) = 56 + 3(17) = 107 g/mol

Mole of Fe(OH)3 = 3.3×10¯³ mole

Mass of Fe(OH)3 =?

Mole = mass /Molar mass

3.3×10¯³ = Mass of Fe(OH)3 / 107

Cross multiply

Mass of Fe(OH)3 = 3.3×10¯³ x 107

Mass of Fe(OH)3 = 0.3531 ≈ 0.35 g.

Therefore, 0.35 g of Fe(OH)3 was produced from the reaction.


Related Questions

Write down the dissolution equation for nickel(II) perchlorate dissolving in water. (Perchlorate is a polyatomic ion with the formula ClO41-.) If four moles of the ionic compound are dissolved, then how many moles of the ANION are present in the solution?

Answers

Answer:

Ni(ClO₄)₂(aq) ⇒ Ni²⁺(aq) + 2 ClO₄⁻(aq)

8 mol ClO₄⁻

Explanation:

Let's consider the dissolution equation for nickel(II) perchlorate dissolving in water.

Ni(ClO₄)₂(aq) ⇒ Ni²⁺(aq) + 2 ClO₄⁻(aq)

The molar ratio of Ni(ClO₄)₂ to ClO₄⁻ is 1:2. If 4 moles of Ni(ClO₄)₂ are dissolved, the moles of ClO₄⁻ formed are:

4 mol Ni(ClO₄)₂ × (2 mol ClO₄⁻/ 1 mol Ni(ClO₄)₂) = 8 mol ClO₄⁻

please help :) How can scientists ensure that their data are reliable? A) by making a single observation B) by recording values without units C) by keeping the results private D) by repeating trials during an experiment

Answers

Answer:

D. by repeating trials during an experiment

Explanation:

chile its actually d

Explanation:

If an object is travelling 25.0 meters/second, how far will it travel in 45 minutes?

Answers

Speed=25m/sTime=45min=(45×60)s=2700s

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=25(2700)[/tex]

[tex]\\ \rm\longmapsto Distance=67500m[/tex]

The object travelling at 25 m/s, will travel a distance of 67500 m in 45 mins.

We'll begin by converting 45 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

45 mins = 45 × 60

45 mins = 2700 s

Finally, we shall determine the distance travelled by the object in 2700 s (i.e 45 mins). This can be obtained as follow:

Time = 2700

Speed = 25 m/s

Distance =?

Distance = speed × time

Distance = 25 × 2700

Distance = 67500 m

Therefore, the object will cover a distance of 67500 m in 2700 s (i.e 45 mins)

Learn more: https://brainly.com/question/14988345

balance this equation

Al2 O3 + HCL → Al Cl3 + H2O​

Answers

Answer:

[tex]{ \sf{Al _{2} O _{3(s)} + 6HCl _{(aq)} → 2Al Cl _{3(aq)} + 3H _{2} O _{(l)} }}[/tex]

Answer:

I think you have to put a coefficient of 6 in front Hcl,and a 2 infront of AlCl3 then a 3 in front of H2O,so that you can have 2 Al on both sides,6 Hcl,6 Cl and 3 o.

Al2O3+6HCl--->2AlCl3+3H2O.

I hope this helps

CO2(g) + H2(g)
cog) + H2O(1)
What is being oxidized?
carbon
O carbon dioxide
oxygen
hydrogen

Answers

Answer:

Hydrogen

Explanation:

This may be wrong but I can't really tell because of how you have written the question

Answer: The answer is D. Hydrogen

Explanation:

I took the test

What is the name of this compound? H single bonded to N with a pair of electron dots above and a single bond to H below, single bonded to the right to C with H above and below, and another C with H above, below, and right.

Answers

Answer:

Ethanamine (also known as ethylamine)

Explanation:

The compound that is requested by the question is ethanamine. Its trivial name is ethylamine.

It is a compound that contained the ethyl moiety (CH3CH2-) as well as the amine moiety (-NH2).

Ethanamine has a structure that can easily be determined by the statements in the question.

The structure of ethanamine is shown in the image attached.

Answer:

What is the name of this compound?

                                                                                    H       H

                                                                                    │       │

                                                               H ── N ── C ── C ── H

                                                                          │       │        │

                                                                          H      H        H

❌ A) ethanal

✔️B) ethylamine

❌ C) ethanoic acid

❌ D) methyl ethanoate

I Took Question Test And Have Day.

why water can reduce unpleasant smell that produce from methane gas ?

Answers

Answer:Water contains Oxygen the purified the methane gas

Explanation:

I’m going to assume because it dilutes the methane gas and its odor

-K-12 Scientific Method
3/10
A(n)
simply states what will be observed and always
true, but does not explain why.

Answers

Answer:

The correct answer is - scientific law.

Explanation:

A scientific law is an explanation to a well observed phenomenon of the world which is found true every time tested and universal proven fact, but the reason behind the phenomenon and its existence.

To explain the scientific law there will be various explanation that are called scientific theory, however these theories can not be proved.

Thus, the correct answer is - scientific law.

take an onion and one jam bottle insert the roots of onion in the jam bottle for five days . after five days observe the growth in the roots of onion which is submerged in jam bottle. write observation here

Answers

Answer:

It is noticed that after five days, there is elongation of the root cells in the roots of onion in the jam bottle

Explanation:

It is noticed that after five days, there is elongation of the root cells in the roots of onion in the jam bottle. The growth of a plant is due to the availability of the growing and  dividing cells in the meristematic regions of the apical meristems. (stem cells). This site are active site for elongation and differentiation  of the stem tissues. In the apical meristem of the root cells, the cells have the potential to carry out mitosis and cell division repeatedly in order to generate newer cells for extension and development of stems and leaves. With each cell division, one cell remains in the meristem which the other increases in size and differentiate due to different genomic expression to form the meristem regions which eventually becomes the stem structure.

How are proteins carbohydrates and fats related to the discipline of chemistry

Answers

Answer:

Explanation:

The nutrition label on rice lists the amounts of proteins, carbohydrates, and fats in one serving. These substances are important for human nutrition. How are proteins, carbohydrates, and fats related to the discipline of chemistry? All are chemical compounds. All are found in living things. All are needed for nutrition. All are found in non-living things.

The answer for this question would be A) All are chemical compounds.

The answer is All are chemical compounds

Using complete sentences, explain how to predict the products and balance the reaction between sulfuric acid and potassium hydroxide. H2SO4 + KOH ⟶

Answers

Answer:

The answer to your question is given below.

Explanation:

The reaction of sulfuric acid and potassium hydroxide is called neutralisation.

Neutralisation is a reaction involving an acid and a base which produces salt and water only.

For the react between sulfuric acid, H2SO4 and potassium hydroxide, KOH, we can predict the products obtained as follow:

H2SO4 + KOH —>

In solution, H2SO4 and KOH will dissociate as follow:

H2SO4(aq) —> 2H^+(aq) + SO4^2-(aq)

KOH(aq) —> K^+(aq) + OH^-(aq)

H2SO4 + KOH —>

2H^+(aq) + SO4^2-(aq) + K^+(aq) + OH^-(aq) —> K^+(aq) + SO4^2-(aq) + 2H^+(aq) + OH^-

H2SO4 + KOH —> K2SO4 + H2O

Now, we can balance the above equation as follow:

H2SO4 + KOH —> K2SO4 + H2O

There are 2 atoms K on right side and 1 atom on the left side. It can be balance by writing 2 in front of ko as shown below:

H2SO4 + 2KOH —> K2SO4 + H2O

There are 2 atoms of H on the right side and a total of 4 atoms on the left side. It can be balance by writing 2 in front of H2O as shown below:

H2SO4 + 2KOH —> K2SO4 + 2H2O

Now,the equation is balanced.

Answer:

Given the reactants, H2SO4 and KOH, we are asked to determine the product(s) of the reaction. Since H2SO4 is an acid and KOH is a base. This is a neutralization reaction, thus, the products are salt and water.  

So, H+ from H2SO4 will react with OH- from KOH forming H2O. K+ will also react with SO4 2- forming K2SO4. Therefore, the balanced reaction will be:

H2SO4 + 2KOH ---> K2SO4 + 2H2O

Explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!!
Which of the following is the best definition of a chemical property?
A. The solubility of salt.
B. The ability of gunpowder to explode.
C. The ability of something to undergo a change or reaction.
D. Something that can be observed or measured without changing the identity of the substance.

Answers

Answer:

The B. Is perfect match of a definition of chemical property.

Explanation:

The ability of gunpowder to explode.

The ability of gunpowder to explode is the best definition of a chemical property.

What is chemical property?

The change of one type of matter into another type of matter and inability to change into the previous forms is called a chemical property. Examples of chemical properties include reactivity and heat of combustion.

So we can conclude that the ability of gunpowder to explode is the best definition of a chemical property.

Learn more about property here: https://brainly.com/question/1538726

#SPJ5

Does the following word describe a theory, law, or both

“Simple”

A) LAW

B) THEORY

C) BOTH THEORY AND LAW

Answers

Answer:

B

Explanation:

I would say theory since a law is already set and proven by evidence. Theories arent necessarily proven.

Pls help!!! I will mark you as brainliest if you answer the question!!
PLS GUYS!!! HELP!!!!!!!!!!

Answers

1 — Element D and A ( Which are Sodium and aluminium )

2 — ( 2 + 8 + 3 = 13 electrons total ) Element A Because it's atomic number is 13.

3 — Element E Is stable. ( Which is Argon )

( Note, Elements which has 8 election on its outermost cell is stable. ( Helium is exception which is a noble gas but have 2 electrons in outermost cell )

4 — Element F , which is hydrogen. ( Hydrogen is the only element to not have any neutron )

5 — Element D ( Which is sodium )

6 — The element F ( Which is hydrogen ) Don't contain any neutron.

________________________________

A machine uses filtration to separate a component from orange juice. Which component does the machine most likely separate from the mixture?(1 point)

water
water

pulp
pulp

sugar
sugar

pigment





Which method of separation would be most appropriate for separating a mixture of water and alcohol?(1 point)

chromatography
chromatography

distillation
distillation

filtration
filtration

evaporation







Which method separates components of a mixture according to how quickly the particles travel through a medium?(1 point)

chromatography
chromatography

filtration
filtration

evaporation
evaporation

distillation





The boiling point of water is 100ºC. The boiling point of acetone is 56ºC. Which statement about distilling a mixture of acetone and water is correct?(1 point)

Acetone remains in the original container.
Acetone remains in the original container.

Acetone is captured and cooled.
Acetone is captured and cooled.

Water is collected as it leaves the mixture.
Water is collected as it leaves the mixture.

Water will vaporize from the mixture before acetone.






Substance A and substance B are mixed together. To separate the mixture, water is added, and substance A is filtered out. Then, the remaining liquid is heated to remove the water, leaving a residue of substance B. Which statement about substance A and substance B could be correct?(1 point)

Substance A is rice, and substance B is sugar.
Substance A is rice, and substance B is sugar.

Substance A is sand, and substance B is alcohol.
Substance A is sand, and substance B is alcohol.

Substance A is alcohol, and substance B is salt.
Substance A is alcohol, and substance B is salt.

Substance A is sugar, and substance B is instant coffee.

Answers

the answer would be pulp to make it less concentrated

Pulp

distillation

chromatography

Acetone is captured and cooled.

Substance A is rice, and substance B is sugar.

To separate the components of a mixture the substances to be separated must differ in a given physical property.

In chemistry, there are diverse separation techniques used to separate the components of a mixture. Separation depends on differences in a given physical property such as boiling point, solubility in a solvent, difference in particle size etc.

Filtration can be used to separate a solid from a liquid hence it can be used to separate pulp from orange juice.

To separate water and alcohol, distillation is used because such a separation depends on the difference in the boiling points of water and alcohol. Water boils at a higher temperature than alcohol hence the mixture can be separated by distillation.

Chromatography is a method of separation that is dependent on how quickly a the components of a  mixture move through a stationary phase.

Acetone has a lower boiling point than water hence it collected first and cooled before water.

Clearly, substance A must be a solid since it is filtered out after adding water. Substance B must be a water soluble substance which can be recovered from water by evaporation to dryness. Hence substance A is rice, and substance B is sugar.

https://brainly.com/question/11960023

what is meant by the term "boiling point of water"

Answers

Answer:

boiling point, temperature at which the pressure exerted by the surroundings upon a liquid is equaled by the pressure exerted by the vapour of the liquid; under this condition, addition of heat results in the transformation of the liquid into its vapour without raising the temperature

in case of water boiling point bring 0 degree

Answer:

it is the temperature at which water starts to boil. the temperate is 100°C or 212°F

0.32 L is equal to how many mL

Answers

Its 320 milliliters.

Suppose you see an advertisement for a video game that claims you can actually fly around inside your home while you play it. What do your scientific literacy and critical thinking skills lead you to think about that claim?

Answers

Answer:

Scientific literacy and critical thinking skills will nullify the claims made in the advertisement.

Explanation:

The claims made in the advertisement contradict the scientific laws and the person who understands the scientific theories can easily understand that. Critical thinkers may derive rational insights from a collection of facts, and distinguish between relevant and less important reasons for problem-solving or decision making. Therefore on objectively evaluating scientific theories, we conclude to a rational decision, that is the claims are false.

Explain Froath Flotation Method!

Answers

Explanation:

a process for separating minerals from gangue by taking advantage of the differences in their hydrophobicity.

I believe that is accurate

hope this helped have a nice day

and mark me brainiest :)

a. For a chemistry lab final exam, a high school chemistry student was given a 1-mole sample of CaCl2 and a 1-mole sample of MgCl2 but was not told which sample was which. He was to identify the powders.

He looked up the enthalpies of formation for both of the chemicals and calculated the ΔHreaction for dissolving each powder: CaCl2 (s) Ca 2+ (aq) + 2Cl – (aq), and MgCl2 (s) Mg 2 (aq) + 2Cl – (aq). He then put each powder in a coffee-cup calorimeter and added water.

When sample A dissolved, the temperature increased by 0.74°C. When sample B dissolved, the temperature increased by 0.39°C. Which chemical was A, and which was B? Use the table of enthalpies of formation to help you. Explain your reasoning.

Answers

Ca^2+ ion  is smaller than Mg^2+ ion hence it has a greater heat of formation or lattice energy.

When a crystal lattice is formed, the energy that is released if the component ions of the compound are brought together from infinity is called the lattice energy. It is the energy released when a crystal lattice is formed from its component ions.

The question lets us know that the heat released by the compounds depends on the energy released upon formation of the compound. Hence, the higher the energy released upon formation, the higher the magnitude of heat released upon dissolution of the compound.

Recall that lattice energy depends on the size of the ions. Thus, the smaller the ions, the higher the lattice energy.

Ca^2+ is smaller than Mg^2+ hence more energy is given off when CaCl2  is formed than when MgCl2  is formed.

As stated above, the greater the lattice energy, the greater the heat released when the lattice dissolves and the higher the rise in temperature.

Putting all these together, Sample A must be CaCl2 while sample B must be MgCl2.

https://brainly.com/question/2815368

A sealed gas syringe which can move freely contains 60 cm³ of air.Thd atmospheric pressure is 101 kPa.What is the pressure of the enclosed gas?​

Answers

Want to play cod with me gamer tag timmy2717

please help me it's urgent​

Answers

C3H8 + 5 O2 = 3CO2 + 4H20

Answer:

a) NaSO4+Bacl2 -> Baso4+2Nacl

b) 4C3H3+15O2 -> 12CO2+6H2O

Explanation:

The atoms at the reactants is equal with the product.

why do scientist need govermental funding

Answers

government funding is a way to control what kind of scientific research is done. also if u need mire heres a ss from g00gle

using methyl ,phenolphthalein and litmus name an acid

Answers

Answer:

These are two types of indicators which show a solution is either an acid a natural or an alkali solution

Explanation:

Hope this helps :)

phóng xạ và phân hạch hạt nhân

Answers

I am from Nepal i don't know this language

A spontaneous reaction occurs when the sign of free energy is
A: Neutral
B: Zero
C: Positive
D: Negative

Answers

A spontaneous reaction is one that releases free energy, and so the sign of ΔG must be negative. ... When ΔH is negative and ΔS is positive, the sign of ΔG will always be negative, and the reaction will be spontaneous at all temperatures. This corresponds to both driving forces being in favor of product formation.

what is the scientific term for salt​

Answers

Answer:

The scientific term for table salt is Sodium chloride.

Explanation:

The answer is sodium chloride.

It is composed of sodium and chloride. Like,

[tex] {na}^{ + } + {cl}^{ + } = nacl[/tex]

so, it's name is sodium chloride.

Which of the following is an acid-base neutralization reaction? (1 point) Sn + 2HBr yields SnBr2 + H2 HCl + KOH yields KCl + H2O 2AlCl3 + 3Ca(OH)2 yields 2Al(OH)3 + 3CaCl2 2C2H6 +7O2 yields 4CO2 + 6H2O

Answers

Answer:

HCl + KOH ⇒ KCl + H₂O

Explanation:

Which of the following is an acid-base neutralization reaction?

Sn + 2HBr ⇒ SnBr₂ + H₂. NO. This is a single displacement reaction.

HCl + KOH ⇒ KCl + H₂O. YES. An acid reacts with a base to form salt and water.

2AlCl₃ + 3Ca(OH)₂ ⇒ 2Al(OH)₃ + 3CaCl₂. NO. This is a double dispacement reaction.

2C₂H₆ +7O₂ ⇒ 4CO₂ + 6H₂O. NO. This is a combustion reaction.

the volume of a gas is 568.4 ml at 23.2 if the temperature is increased to 93.4 without changing the pressure what is the new volume of the gas ?

Answers

Answer:

Do not incinerate "why the gas in the gas is initially at 23degree and 360kPa and the can has a volume of 350Ml

D

Consider the following: Li(s) + ½ I₂(g) --> LiI(s) ΔH = –292 kJ. LiI(s) has a lattice energy of –753 kJ/mol. The ionization energy of Li(g) is 520 kJ/mol, the bond energy of I₂(g) is 151 kJ/mol, and the electron affinity of I(g) is –295 kJ/mol. Use these data to determine the heat of sublimation of Li(s).

Answers

Answer:

Heat of sublimation of Li(s) = 160.5 kJ/mol

Explanation:

Given that:

[tex]\mathtt{2Li(s) + \dfrac{1}{2} I_2(g) \to 2LiI(s)}[/tex]

ΔH = –292 kJ

The heat of formation for the above reaction =  –292 kJ × 2 =  -584 kJ/mol

[tex]\mathtt{Li^+_{(g)} + I^-_{(g)} \to LiI_{(s)}}[/tex]

The lattice energy of LiI(s) = -753 kJ/mol

[tex]\mathtt{Li(g)\to Li^+(g) + e^- }[/tex]

The ionization energy of LiI(s) = +520 kJ/mol

[tex]\mathtt{I_2_{(g)} \to 2I_{(g)} }[/tex]

The Bond Energy of I₂(g) = 151 kJ/mol

[tex]\mathtt{I_{(g)} + e^- \to I^-_{(g)}}[/tex]

The electron affinity of I(g) = -295 kJ/mol

Heat of sublimation: Sublimation is the process of changing of a solid matter into gas without passing through the liquid stage, Now, the molar heat of sublimation is the amount of energy that must be added to a mole of solid  to turn it directly into a gas without any interference through the liquid phase provided the pressure is  constant.

From  the above reactions: The heat of sublimation  of Li(s) can be calculated by the sum total of the following.

[tex]\mathtt{Li_{(s)} + \dfrac{1}{2} I_2_{(g)} \to LiI_{(s)} \ \ -292 kJ/mol} \\ \\\mathtt{I_{(g)} \to \dfrac{1}{2} I2(g) \ \ -75.5 kJ/mol} \\ \\ \mathtt{I^-(g) \to I(g) + e^- \ \ +295 kJ/mol} \\ \\ \mathtt{LiI(s) \to Li^+_{(g)} + I^-_{(g)} \ \ +753 kJ/mol} \\ \\ \mathtt{Li^+_{(g)} + e^- \to Li(s) \ \ -520 kJ/mol} \\ \\[/tex]

[tex]\mathtt{Li(s) \to Li(g)}[/tex] = (-292 +(-75.5)+295+753+(-520)) kJ/mol

[tex]\mathtt{Li(s) \to Li(g)}[/tex] =  160.5 kJ/mol

Heat of sublimation of Li(s) = 160.5 kJ/mol

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Find the value of X. Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations? Darnell goes to the movies with his friends. The receipt on his phoneshows the cost of the tickets after a discount. What is the price of a ticket before the discount? 9. Write a polynomial function in factored form with zeros at -2, 5, and 6.F(x) = (x + 2)(x - 5)(x - 6)+F(x) = x3 - 9x2 + 8x + 60Of(x) = (x - 2)(x + 5)(x + 6)Flx) = x3 + 9x2 + 8x - 60 Can someone help help me from 1 to 10 Which Supreme Court case resulted in due process rights for adults being available for juveniles accused of crimes?Hazelwood v. KuhlmeierTinker v. Des MoinesIn re GaultBrown v. Board of Education the volume of a cube is 125cm cubed. The area of a square is 64cm squared. How does the length of one edge of the cube compare to the length of one side of the square? Explain An investigator claims, with 95 percent confidence, that the interval between 10 and 16 miles includes the mean commute distance for all California commuters. To have 95 percent confidence signifies that Place the two large triangles around the square to form a triangle, a parallelogram ,and a trapezoid .Please answer it step by step Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. Part II: Exercise 6.16 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot afford it. #1: Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context. (a) lower bound: ______ (please round to four decimal places) (b) upper bound: _____ (please round to four decimal places) #2: Interpret the confidence interval in context: (A) We can be 90% confident that our confidence interval contains the sample proportion of Americans who choose not to go to college because they cannot afford it (B) 90% of Americans choose not to go to college because they cannot afford it (C) We can be 90% confident that the proportion of Americans who choose not to go to college because they cannot afford it is contained within our confidence interval #3: Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend? (a) A survey should include at least ________ people. Use parenthesis to make each number sentence true. 124 - 6 x 0 + 15 = 34 Courtney's Caffeine Castle is investigating the feasibility of adding a new espresso maker to its line-up of products. The marketing department believes that 15,000 units can be sold at $90 each. Courtney's requires a 30% profit margin (i.e. cost is 70% of selling price) on all products. To achieve its goal, Courtney's must keep total costs equal to or below:A. $675,000.B. $900,000.C. $661,500.D. $945,000. In 300 words or less, explore how the external events of the plot affect an internal change within Sanger Rainsford The lengths of two sides of a triangle are 6cm and 8cm.Between what two measures should the length of the third side fall? PLEASE HELP !!!!!!!! What helps to ensure that the meaning of prose is clear to the reader?A. Complex sentencesB. Reader responseC. Several points of viewD. Careful organization PLZ HELPPPPPP. 25 POINTS. A store sells books for $12 each. In the proportional relationship between x, the number of books purchased, and y, the cost per books in dollars" to "y, the total cost of the books in dollars, the constant of proportionality is 12. Which equation shows the relationship between x and y? A. y=12/x B. y=12x C. y=12+x D. y=12x career in chemistry list ten Each cat at the animal shelter gets5/6 pound of food. Allie has 9 1/2pounds of cat food. How many catscan Allie feed? A: 7 B:9 C: 11D:13 Given the following three points, find by hand the quadratic function they represent.(0,6), (2, 16), (3, 33)(1 point)f(x) = 4x2 + 3x + 6f(x) = -42? +212 + 6f(x) = -472 3r +6f(1) = 4x2 3x + 6 Name the indicated geometric figures for the figure shown. Be sure to use correct notationA Name a point.B Name a ray through Y.C Name a line through Z.D Name a plane.