A set of chemistry exam scores are normally distributed with a mean of 70 7070 points and a standard deviation of 5 55 points. What proportion of exam scores are between 68 6868 and 73 7373 points?.

Answers

Answer 1

The proportion of exams scores between 68 and 73 points is 38.09%.

We must first determine the z-score for both points.

The z-score formula is:

Z-score is equal to (x-mean)/SD.

Given that in this instance:

Mean = 70

SD = 5

So, for a 68-point exam grade:

(68 - 70) / 5 is the z-score.

= –2 / 5

= –0.4

And for a 73 point exam grade:

(73 - 70) / 5 is the z-score.

= 3 / 5

= 0.6

Thus, the likelihood:

P (68 < x < 73) = P (–0.4 < z < 0.6)

Through the z-table:

P (–0.4 < z < 0.6)

= (0.5 – 0.3446) + (0.7258 – 0.5) (0.7258 – 0.5)

= 0.3809

= 38.09%

As a result, 38.09% of exam scores fall between 68 and 73 points.

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Related Questions

Identify the products of the reaction between 2KOH and H₂SO4.
O KSO and H2₂O
OK2SO4 and H₂O
O H₂O and K₂SO4
O KH2 and SO4

Answers

Answer:

C.) H₂O and K₂SO₄

Explanation:

This appears to be a double-displacement reaction. In these reactions, the cation of one substance is swapped with the cation of another.

So, K⁺ from KOH is swapped with the H⁺ from H₂SO₄. The new compounds should have an overall charge of 0. Therefore, it may be necessary to modify the amount of each ion (not just be 1:1).

K₂SO₄
-----> K⁺ and SO₄²⁻

-----> + 1 + 1 + (-2) = 0

H₂O

-----> H⁺ and OH⁻

-----> + 1 + (-1) = 0

when in extinguishing agent is determined to be safe and effective for you from combustible Metals it will

Answers

Dry powder extinguishers

They are for Class D or combustible metal fires, only. They are ineffective on all other classes of fires.

What is an Extinguishing agent ?

Extinguishing Agent means a source of extinguishment in which to quickly and effectively suppress the fire.

They consist of ABC Dry Chemical, BC Dry Chemical, Dry Powder, Water, Foam, Wet Chemical, Halogenated, and Carbon Dioxide.

Dry Chemical extinguishers: Dry chemical extinguishers are the most common and available in few types.

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Which fundamental mechanisms appear in the reaction between pyridinium chlorochromate and a secondary alcohol

Answers

The idea is to foretell the formation of a carbonyl compound by the reaction between alcohol and too much pyridinium chlorochromate. An oxidizing agent called pyridinium chlorochromate converts the alcohol group into the 1carbonyl group.

The carbonyl molecule that results from the reaction will depend on the reactant's OH group. Pyridinium chlorochromate [PCC] converts primary OH to aldehydes, whereas it converts secondary OH to ketones, and oxidation of tertiary OH has little effect. Alcohols and pyridinium chlorochromate [PCC] react to create a carbonyl molecule.

From primary alcohols to aldehydes and from secondary alcohols to ketones, pyridinium chlorochromate oxidizes alcohols one step up the oxidation ladder. pyridinium chlorochromate will not oxidize aldehydes to carboxylic acids, in contrast to chromic acid. Comparable to Pyridine (the Collins reagent) and CrO3 will both oxidize primary alcohols to aldehydes. Here are two instances of pyridinium chlorochromate being used.

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What is occurring when reactants are mixed and heated and liquid collects in the sidearm of the apparatus

Answers

When reactants are mixed and heated and liquid collects in the sidearm of the apparatus, a chemical reaction is occurring.

What is a chemical reaction?

A chemical reaction is said to occur when reactants are combined to form products. We must note that the formation of products is evidenced by;

Appearance of a liquidAppearance of a gas Appearance of a solid

Hence,  when reactants are mixed and heated and liquid collects in the sidearm of the apparatus, a chemical reaction is occurring.

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Place the items in order from lowest to highest degree of internal organization

Answers

The order of internal organization from lowest to highest degree is; cell <  tissue < organ < organ system

What is the order of organization?

The complexity of the parts that compose an organism lays the bedrock for the classification of life. Some organisms are composed only of one cell while others are composed of many complex systems.

The order of internal organization from lowest to highest degree is; cell <  tissue < organ < organ system

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Missing parts:

Place the items in order from lowest to highest degree of internal organization.

1.organ system

2.tissue

3.cell

4.organ

Calculate the number of atoms in 3 mol helium

Answers

Answer:

1.81 x 10²⁴ atoms He

Explanation:

You can find the amount of atoms by multiplying the given moles by Avogadro's Number. This number represents the amount of atoms per 1 mole. It is important to arrange the ratio in a way that allows for the cancellation of units.

Avogadro's Number:

6.022 x 10²³ atoms = 1 mole

3 moles He           6.022 x 10²³ atoms
--------------------  x  --------------------------------  =  1.81 x 10²⁴ atoms He
                                       1 mole

The oxidation number is often referred to as the _____. redox factor oxidation state spectator ion reducing factor

Answers

The oxidation number is often referred to as the oxidation state.

The number of electron/electrons which completely transferred and induced charged on an atom is called oxidation state of an atom. It is also describe as the number that is allocated to elements in a chemical combination. The number of electron that atoms in a molecule can share while forming chemical bonds with other atoms of a different elements. The oxidation number of the monoatomic (composed by atom) ion is the same as the charge of the ion.

The primary distinction between oxidation number versus oxidation state would be that the former refers to the charge that would be placed on the central atom of a coordination complex if every one of the connections around it were ionic bonds, while the latter relates to the number of electrons that an atom could either receive, lose, or share with some other atom.

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Elements on the periodic table are arranged in order by their

Answers

Answer:

in order of increasing atomic number, or the number of protons in an atom's nucleus, which generally coincides with increasing atomic mass

livesciencecom

As a reaction proceeds toward equilibrium from reactants to products (i.e., from left to right as written), the value of Q is

Answers

As a reaction proceeds toward equilibrium from reactants to products, the value of Q is Increasing

Equilibrium can exist in chemical processes (the products and reactants are produced at the same rate). In a reversible chemical reaction, chemical equilibrium is the state in which there is no net change in the quantity of reactants or products. When a chemical reaction is reversible, the products react with the original reactants as soon as they are created.

There is no net change in the quantity of the chemicals involved when the two opposing reactions are in equilibrium because they are occurring at identical rates, or velocities. At this point, the reaction may be deemed to be finished, meaning that the maximum amount of reactants to products has been converted under the given reaction conditions.

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Amines suitable for preparing buffers are often synthesized by treating ammonia with epoxides. Consider the following series of reactions, and draw the structure of compound B.

Answers

It is correct to state that Amines are suitable for preparing buffers are often synthesized by treating ammonia with epoxides. The relative structures of compound B are attached accordingly.

What is an Amine?

Amine is a family of basic chemical compounds formed by replacing hydrogen with one or more monovalent hydrocarbon radicals.

Apart from medications and pharmaceuticals, amines are employed in the production of azo-dyes and nylon.

They are commonly employed in the development of crop protection, pharmaceutical, and water purification chemicals. They are also used in personal care products.

Ethanol amines are the most widely utilized form of amine on the global market.

It should be noted that ammonia attacks epoxides at the least substituted carbon to produce (A.)

The generated product is then made to react with another epoxide, resulting in the synthesis of successive products.

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a major textile dye manufacutrer developed a new yellow dye. the dye has a percent composition of 75.95%C, 17.72%n and 6.33%H by mass with a molar mass of about 240g/mol. determine the molecular formula of the dye

Answers

The molecular formula of dye:

A major textile dye manufacturer developed a new yellow dye with a molecular formula [tex]C_{15}N_{3}H_{15}[/tex].

Given:

Percentage composition:

C = 75.95%

N = 17.72%

H = 6.33%

Molar mass = 240 g

To find: molecular formula of dye

Calculation:

Let's assume the mass of the compound is 100 gm.

So,  Mass of C = 75.95 gm

Mass of N = 17.72 gm

Mass of H = 6.33 gm

The number of moles = given mass/mass

Therefore, the number of moles of C = 75.95/12 = 6.33

The number of moles of N = 17.72/14 = 1.27

Number of moles of H =6.33/1 = 6.33

Simplest ratio:

C = 6.33/1.27 = 4.98 =5

N = 1.27/1.27 = 1

H = 6.33/1.27 = 4.98 =5

Therefore, the empirical formula is [tex]C_{5}NH_{5}[/tex]

The mass of empirical formula = 12 x 5 + 14 + 1 x 5 = 79 gm

Number of moles= molar mass/ empirical formula

n = 240/79 = 3.04 =3

Therefore, molecular formula = empirical formula x n

Hence, molecular formula = [tex]C_{15}N_{3}H_{15}[/tex]

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A physical change involves a change in the identity o the sample.
O True
O False

Answers

It is true because it changes the identity of a persin or a character

Once ____________ bonds form between every fourth amino acid in a polypeptide chain, the chain begins to twist into the ____________ structure known as a(n) ____________ .

Answers

Once hydrogen bonds form between every fourth amino acid in a polypeptide chain, the chain begins to twist into the secondary structure known as a(n) alpha helix.

What is Amino Acid ?

Amino acids are organic compound. Amino acids contains amine and carboxyl functional group. Amino acids is the building block of life these are the molecules that combine to form proteins.

What is Polypeptide Chain ?

A unique sequence of amino acids joined by peptide bonds is called polypeptide.

Thus from the above conclusion we can say that Once hydrogen bonds form between every fourth amino acid in a polypeptide chain, the chain begins to twist into the secondary structure known as a(n) alpha helix.

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Potassium carbonate dissolves as follows:

K2CO3(s) → 2k (aq) CO3^2-(aq).

What volume in liters of 1.0 m k2co3 solution is required to provide 0.50 moles of k (aq)?

Answers

The 0.25 volume in liters of 1.0 M [tex]K_{2}CO_{3}[/tex] solution is required to provide 0.5 moles of [tex]K[/tex](aq).

Calculation,

The Potassium carbonate dissolves as follows:

[tex]K_{2}CO_{3}(s)[/tex] → [tex]2K(aq) +[/tex][tex]CO_{3}^{-2} (aq)[/tex]

The mole ratio is 1: 2

It means, the 1 mole [tex]K_{2}CO_{3}[/tex] required to form 2 mole of [tex]K[/tex](aq).

To provide 0.5 mole of [tex]K[/tex](aq) = 1 mole ×0.5 mole /2 mole required by [tex]K_{2}CO_{3}[/tex].

To provide 0.5 mole of [tex]K[/tex](aq) ,0.25 mole required by [tex]K_{2}CO_{3}[/tex].

The morality of  [tex]K_{2}CO_{3}[/tex] = 1 M = number of moles / volume in lit

The morality of  [tex]K_{2}CO_{3}[/tex] =   1 M = 0.25 mole/ volume in lit

Volume in lit = 0.25 mole / 1 M = 0.25 mole/mole/lit = 0.25 lit

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The solubility of lead(II) chloride is 0.45 g/100 mL of solution. What is the Ksp of PbCl2?a. 8.5 ? 10^-6b. 4.2 ? 10^-6c. 1.7 ? 10^-5d. 4.9 ? 10^-2e. < 1.0 ? 10^-6

Answers

The solubility of lead(II) chloride is 0.45 g/100 mL of solution. The value of  [tex]K_{sp}[/tex] of [tex]PbCl_{2}[/tex]  is 1.7×[tex]10^{-5}[/tex] .

So, option C is correct one.

Calculation,

Number of moles of [tex]PbCl_{2}[/tex]  = mass/molar mass = 0.45/278.1 = 1.618×[tex]10^{-3}[/tex] moles

Concentration of [tex]Pb^{+2}[/tex] and [tex]Cl^{-}[/tex] ion

Molarity  of [tex]Pb^{+2}[/tex] = Number of moles of solute /volume in lit

Molarity  of [tex]Pb^{+2}[/tex] = 1.618×[tex]10^{-3}[/tex] moles /0.1 lit = 0.0162 M

[tex]PbCl_{2}[/tex] →  [tex]Pb^{+2}[/tex] +  2[tex]Cl^{-}[/tex]

For certain amount of  [tex]Pb^{+2}[/tex] , twice this amount of  [tex]Cl^{-}[/tex] ion formed.

The concentration of   [tex]Cl^{-}[/tex] ion formed = 2× 0.0162 M = 0.0324 M

Now,

The solubility of lead(II) chloride of solution = 0.45 g/100 mL

[tex]K_{sp}[/tex] of [tex]PbCl_{2}[/tex] = [ [tex]Pb^{+2}[/tex] ][tex][Cl^{-}]^{2}[/tex] = 0.0162 ×[tex][0.0324 ]^{2}[/tex] =  1.7×[tex]10^{-5}[/tex] .

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Nylon, a polyamide, is produced from hexanediamine and a substance, x. This substance, x, is most probably:____.
a. an amine.
b. a carboxylic acid.
c. a nitrile.
d. an alcohol.

Answers

Nylon, a polyamide, is produced from hexanedi-amine and a substance, x. This substance, x, is most probably a carboxylic acid.

A polymer containing repeating units connected by amide bonds being called a polyamide. Both naturally occurring and synthetic polyamides are found. Proteins found in materials like wool and silk were examples of naturally produced polyamides.

The term "nylon" refers to a family of polymeric materials made up of polyamides. Nylon would be a silk-like thermoplastic that may be formed into threads, films, or other shapes. It is often manufactured from petroleum.

Therefore, Nylon, a polyamide, is produced from hexanedi-amine and a substance, x. This substance, x, is most probably a carboxylic acid.

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In the reaction catalyzed by the pyruvate dehydrogenase complex, the two carbons constituting the acetyl group are.

Answers

In the reaction catalyzed by the pyruvate dehydrogenase complex, the two carbons constituting the acetyl group are oxidized by NAD+ while attached to the lipoamide.

Pyruvate dehydrogenase influencing the reaction:

A multienzyme complex called pyruvate dehydrogenase (PDH) catalyzes the oxidative conversion of pyruvate into acetyl coenzyme A (CoA), carbon dioxide (CO2), and reducing equivalents in the form of NADH.

Reaction:The pyruvate dehydrogenase complex catalyzes the oxidative decarboxylation of pyruvate to the acetyl group of acetyl-CoA.This complex requires the sequential action of three different enzymes and five different enzymes and five different coenzymes or prosthetic groups - Thiamine pyrophosphate(TPP), flavin adenine dinucleotide(FAD), coenzyme A(CoA-SH), Nicotinamide adenine dinucleotide(NAD).

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What do you think the elements that are in the same group or period on the periodic table have in common?

Answers

chemical properties and same number of shell

Explanation:

elements in the same group have the same number of eletrons in their outermost shell and hence have the same chemical properties

This table resembles a condensed version of the modern periodic table. Using the full periodic table as a reference, type the symbols for the elements from part A into this table based on their appropriate group and period.

Answers

re write the question.

Explanation:

it seems incomplete.

The statement, in a mixture of gases, the total pressure is the sum of the individual partial pressures of gases in the mixture paraphrases ________.

Answers

Dalton's law

States that the total pressure exerted by a mixture of gases is the sum of the pressures exerted independently by each gas in the mixture.

What is Dalton's law of partial pressure ?

Dalton's law, which states that a gas mixture's overall pressure is equal to the sum of its component gases' partial pressures. The pressure that each gas would produce if it occupied the same volume of the mixture by itself at the same temperature is known as the partial pressure.

The pressure that each gas would produce if it occupied the same volume of the mixture at the same temperature alone is referred to as the partial pressure.

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Engine cooling fluid is a. distilled water. b. tap water from a faucet. c. a mixture of alcohol and water. d. a mixture of antifreeze and water.

Answers

Engine cooling fluid is a mixture of antifreeze and water.

Hence option (d) is correct.

A liquid mixture of water and antifreeze called engine coolant is kept in your car's radiator.

Any compound that lowers water's freezing point is considered antifreeze and protects a system against the negative effects of ice formation.

Radiators are protected from deterioration by antifreezes, which are frequently added to water in car cooling systems.

It keeps your engine from freezing in extremely cold weather or overheating in hot weather, both of which can cause serious problems for an engine.

Although it's standard practice to combine water and antifreeze 50/50 in a car's cooling system, this guideline is not inflexible.

Mixtures can be changed to either raise the boiling point or lower the freezing point limit due to the wide range of weather conditions that cars can operate in.

Hence, Engine cooling fluid is a mixture of antifreeze and water.

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Which is not considered part of the solar system?

Jovian planets

galaxies

terrestrial planets

sun

Answers

Galaxies is not the part of the Solar system.

Hence, Option B is correct answer.

What is Solar System ?

Solar System is made up of all the planets that revolve around our Sun. Solar System contains eight planets. These planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune.

Now lets check all options one by one

Option (A): Jovian Planets

Outer planets are called Jovian planets. These planets are Jupiter, Saturn, Uranus and Neptune. So Jovian Planets are part of the Solar System.

Hence, Option A is incorrect.

Option (B): Galaxies

Galaxy has a black hole at its center. It is a huge collection of dust, billions of star and gas. So galaxies are not a part of the Solar system.

Hence, Option B is incorrect.

Option (C): Terrestrial Planets

Innermost planets in solar system are Terrestrial planets. These planets are Mercury, Venus, Earth and Mars. So Terrestrial planets are part of the Solar system.

Hence, Option C is incorrect.

Option (D): Sun

The Sun is the part of the Solar system as it is the only star in our Solar system. Sun is the center of our Solar system.

Hence, Option D is incorrect.

Thus from the above conclusion we can say that Galaxies is not the part of the Solar system.

Hence, Option B is correct answer.

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When a hydrogen atom is part of a molecular structure, it is always a ___________ atom.

Answers

Answer:

terminal

Explanation:

When a hydrogen atom is part of a molecular structure, it is always a terminal atom.

A sample of hydrogen gas collected at a pressure of 0.923 atm and a
temperature of 17.0 °C is found to occupy a volume of 29.6 liters. How many
moles of H₂ gas are in the sample?
mol

Answers

Answer:

1.15 moles H₂

Explanation:

To find the moles of H₂ gas, you need to use the Ideal Gas Law equation. The equation looks like this:

PV = nRT

In this equation,

-----> P = pressure (atm)

-----> V = volume (L)

-----> n = moles

-----> R = Ideal Gas Constant (0.08206 L*atm/mol*K)

-----> T = temperature (K)

Before you can plug the given values into the equation and simplify, you need to convert Celsius to Kelvin.

P = 0.923 atm                     R = 0.08206 L*atm/mol*K

V = 29.6 L                           T = 17.0 °C + 273.15 = 290.15 K

n = ? moles

PV = nRT

(0.923 atm)(29.6 L) = n(0.08206 L*atm/mol*K)(290.15 K)

27.3208 = n(23.809709)

1.15 = n

The function of the heat exchanger in a nuclear reactor is to...
Select one:
a. prevent the leakage of radiation into the environment.
b. convert water into steam, which turns a turbine.
c. cool the reactor water.
d. absorb neutrons to slow down the chain reaction.

Answers

Answer:

cool the tractor water system

The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. (a) Find the mass (in mg) that remains after t years.

Answers

The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. The masses (in mg) that remains after t years A=150/2^t/30yrs

what do you mean by half-life?

A substance's half-life is the amount of time it takes for half of it to decompose.

What is a half-life example?

Half-life is the length of time it takes for half of an unstable nucleus to go through its decay process. A radioactive element's half-life decay time varies depending on the element. For instance, carbon-10 has a half-life of only 19 seconds, making it impossible to discover in nature. On the other hand, uranium-233 has a half-life of almost 160000 years.

When n half-lives have passed, the formula for estimating the amount still left is:-

A=A°/2^n

where,

A=initial amount

A°=remaining amount

n=t/t_{1/2}

A=150/2^t/30yrs

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What is the coefficient for oh−(aq) when s2−(aq) no3−(aq) → s(s) no(g) is balanced in basic aqueous solution?

Answers

From the balanced redox equation of the reaction, the coefficient of OH⁻ is 8.

What is the balanced redox equation of the reaction?

A redox equation is the equation of a redox reaction in which oxidation and reduction occurs simultaneously.

The given redox reaction takes place in a basic solution

The balanced redox equation of the reaction is given below:

4 H₂O(l) + 3 S²⁻(aq) + 2 NO₃⁻(aq) ---> 3 S(s) + 2 NO + 8 OH⁻(aq)

In conclusion, a redox equation is balanced when oxidation and reduction occur to the same extent.

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In an ionic lattice:
A. atoms are packed together in a regular cubic arrangement
B. atoms are bonded with 2 single bonds and one double bond.
C. atoms are structured in a vast network of atoms.
D. atoms are bonded to four others in a tetrahedral shape.

Answers

In an ionic lattice, atoms are packed together in a regular cubic arrangement; option A.

What is an ionic compound?

An ionic compound is a compound which is composed of oppositely-charged ions which are held together by strong electrostatic forces of attraction.

The properties of ionic compound include:

They occur in regular crystal latticesThey have high melting and boiling pointsThey are electrolytes.

Ionic lattices have regular structural patterns consisting of atoms arranged in a regular repeating pattern, usually a cube. There are several cubic structures in ionic lattices.

In conclusion, ionic lattices are regular repeating arrangement of atoms. Ionic lattices are usually arranged in the form of cubic crystal.

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Substances composed of atoms that all have the same number of protons are called:.

Answers

The substances composed of atoms that all have the same number of protons are called elements.

What are the names of substances made up of atoms with the same number of protons?

The substances which are made up of atoms with the same numbers of protons are called as element.

An element is a substance with the same number of protons in all of its atoms. Gold is an example of an element. A pure gold bar is made up of only one element, gold.

All matter is composed of substances known as elements, which have distinct chemical and physical properties and cannot be broken down into other substances via ordinary chemical reactions.

Gold, for example, is an element, as is carbon. Only 92 of the 118 elements occur naturally. The remaining elements are unstable because they were only created in laboratories.

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A radioisotope decays, producing an alpha particle and th-234. the original radioisotope must have been an atom of?

Answers

If the product of the process is Th-234, the we now know that the original atom must be U-238.

What is an alpha decay?

An alpha decay is said to occur when there is the loss of an alpha particle from an atom. Now we know that  when there is a loss of an alpha particle, the mass number is decreased by 4 four units while the atomic number is decreased by two units.

If the product of the process is Th-234, the we now know that the original atom must be U-238. It is found two places after the thorium atom in the periodic table.

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Why is it important to look at the effect size?a. Because p values are not affected by Sphericity corrections but they do alter effect sizes.b. Because p values can be affected by Sphericity errors but they do not alter effect sizes.c. Because p values can be affected by Sphericity corrections and alter effect sizes.d. Because p values can be affected by Sphericity corrections but they do not alter effect sizes. Let vi = [1 0 1 1 ] , v2= [1 6 1 -2] , v3=[1 0 -1 0] , v4=[-1 1 -1 2]. Let W1 Span {V1, V2} and W2 = Span {V3, V4}. (a) Show that the subspaces W1 and W2 are orthogonal to each other. (b) Write the vector y = [1 2 3 4] as the sum of a vector in W1 and a vector in W2. create a cisco access control list entries to allow the outside world to get access to your web server. your web server has the ip address of 6.45.31.42 Which of the following is a FALSE statement about a chi-square test? (Select all that apply) The chi squared distributions assuming the null is true are symmetric distributions It is can be used for data summarized into one or two categorical variables The Chi Squared Test statistic is computed as: (Obs Count-Exp Count)^2 summed over each categorical level Degrees of freedom does not depend on sample size A chi-square test-statistic will always be nonnegative (zero or positive).Previous question In order to study the effect of an antibiotic on a bacterial growth, you design an experiment in which you add varying concentrations of antibiotic to several groups of bacteria. you keep the exposure to light and the temperature constant among the various groups. what is an appropriate control? Nynet, inc., paid a dividend of 4.18 last year. The company management does not expect to increase its dividend in the foreseeable future. If the required rate of return is 18.5 percent. What is the current value of the stock? a man walks 18m east then 9.5 north. what is the direction of his displacement? 62o 28o 242o 208o Consider the vector field F(x,y)=zk and the volume enclosed by the portion of the sphere x2+y2+z2=a2 in the first octant and the planes x=0, y=0, and z=0.(a) Without using the Divergence Theorem, calculate the flux of the vector field across the ENTIRE surface of the volume in the direction away from the origin.(b) Using the Divergence Theorem, calculate the same flux as in the previous part. (Answer should be the same) Compare the Maastricht Treaty convergence criteria with the OCA criteria. How are these convergence criteria related to the potential benefits and costs associated with joining a currency union? If you were a policymaker in a country seeking to join the EMU, which criteria would you eliminate and why? If sin(x) = 1/4 and x is in quadrant I, find the exact values of the expressions without solving for x. (a) sin(2x) (b) cos(2x) (c) tan(2x) A small telescope has a concave mirror with a 2.4 m radius of curvature for its objective. Its eyepiece is a 4.4 cm focal length lens.a. What is the telescopes angular magnification?b. What angle (in degrees) is subtended by a 25,000 km diameter sunspot? Assume the sun is 1.50 108 km away.c. What is the image angular size (in degrees) in this telescope? consider the following initial-value problem. y' 6y = f(t), y(0) = 0, complete and balance the following half reaction in acid. tio2(s) ti2 (aq) how many electrons are needed and is the reaction an oxidation or reduction? For modern biologists, a species is defined as a. a reproductive community that occupies a specific niche. b. a set of related individuals. c. the organisms that live in a specific niche. d. a general category of organisms that closely resemble one another. How is the AHf related to the AH of a reaction? suppose that a quality characteristic has a normal distribution with specification limits at USL=100 and LSL=90. A random sample of 30 parts results in x-bar=97 and s=1.6A. Calculate a point estimate of Cpk, the^ ^Cpu and CplB. Find a 95% confidence interval on Cpk. According to the federal bureau of investigation, in 2002 there was 3.9% probability of theft involving a bicycle, if a victim of the theft is randomly selected, what is the probability that he or she was not the victim of the bicyle theft which environmental factor encourages us to increase our food consumption? What is the frequency of a microwave in free space whose wavelength is 1.70cm?Express your answer to three significant figures and include the appropriate units. 2. Mr. Hoffman has a circular chicken coup with a radius of 2. 5 feet. Hewants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?