5. Confidence Intervals Suppose you have the following X: (6, 5, 4, 1, 1). What is the mean of X? What is the Standard deviation of X? What is the Standard Error of X? Calculate the 95% confidence interval for X. Calculate the 99% confidence interval for X.

i need to recrystallize 1,4-dichlorobenzene (started with 1:1 mix of 1,4-dichlorobenzene and 4-aminobenzoate then dissolved in diethyl ether and separated by adding HCl). the solvents I have available are 99% ethanol, methanol, water, sodium hydroxide, and sodium sulfate)
Do I need to dry the product with sodium sulfate and the rotovap before recrystallizing? and what solvent(s) would work to recrystallize after rotovap?

Solve IVP for y(x): dy/dx + (3/x)y = 8y^4, y(1) = 1

pls answer 1-4 I would like to check with my answer

1) Saponification of triglycerides gives glycerol and fatty acid salts as shown in the equation below. The groups R1, R2 and R3 represent hydrocarbon chains that may be the same or different.

Saponification is actually a hydrolysis reaction. Explain what a hydrolysis reaction is and the role of sodium hydroxide in this process.

2)The over-the-counter drug Ibuprofen is a 1:1 mixture of R and S isomers of the compound 2-(4-isobutylphenyl)propanoic acid. The two compounds have identical physical properties, but only the S isomer has drug activity. Explain the structural difference between these isomers that accounts for these observations.

3) Halogenation of alkanes in the presence of light is an example of an organic reaction that occurs via free radical intermediates.One example of this is the reaction between methane and chlorine shown in the equations below. Free radical reactions occur in a series of steps called Initiation, Propagation and Termination. Write equations to show an example of each of these steps in the reaction of methane with chlorine in the presence of light.

Initiation reaction (1 mark)

Propagation reaction (1 mark)

Termination reaction (1 mark)

4) The preparation of ethoxybenzene from the reaction between sodium phenoxide and bromoethane is shown in the equation below. Like most organic reactions, this can be described as an interaction between an electron rich species (nucleophile) and an electron deficient species (electrophile).

a) Examine the equation and clearly label each reactant as the nucleophile or electrophile as appropriate.

b) Write an equation to show how sodium phenoxide could be prepared from phenol (hydroxybenzene).

1. Given: A 4-inch cube with all 6 faces painted is cut up into 64 1-inch cubes. A cube is picked at random. What is the probability that (a) It is unpainted: ________________________________ (b) It has at most 1 face painted: _________________________

I want important notes and equations in chapter 4 physics 1
Related topics:

1. contact forces

also for chapter 5:

1. applying newton's laws

2.applying newton's laws with constant-acceleration kinematics

Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rⁿ into an orthonormal basis. Use the vectors in the order in which they are given. On part D) Use the inner product <u, v> = 2u₁v₁ + u₂v₂ in R² and the Gram-Schmidt orthonormalization process to transform the vector.

A) B = {(24, 7), (1, 0)}

u1=____

u2=____

B)

B = {(3, −4, 0), (3, 1, 0), (0, 0, 2)}

u1=___

u2=___

u3=___

C)

B = {(−1, 0, 1, 2), (0, 1, 2, 2), (−1, 1, 0, 1)}

u1=___

u2=___

u3=___

D)

{(−2, 1), (2, 9)}

u1=___

u2=___

Carbonyl fluoride, COF 2 , is an important intermediate used in the production of fluorine-containing compounds. For instance, it is used to make the refrigerant carbon tetrafluoride, CF 4 via the reaction 2COF 2 (g)⇌CO 2 (g)+CF 4 (g), K c =9.00 If only COF 2 is present initially at a concentration of 2.00 M , what concentration of COF 2 remains at equilibrium? Thanks! ( I keep getting .1 but that is incorrect)

A statistical program is recommended.

Spring is a peak time for selling houses. Suppose the data below contains the selling price, number of bathrooms, square footage, and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in spring 2018.

Consider the estimated regression equation we developed that can be used to predict the selling price given the number of bathrooms, square footage, and number of bedrooms in the house.

(x₁

denotes number of bathrooms,

x₂

denotes square footage,

x₃

denotes number of bedrooms, and y denotes the selling price.)

ŷ = −1770.46 + 18130.69x₁ + 60.00x₂ + 40706.14x₃

(a)

Does the estimated regression equation provide a good fit to the data? Explain. (Round your answer to two decimal places.)

Since the adjusted

R²

=  , the estimated regression equation  ---Select--- provides does not provide a good fit.

(b)

Consider the estimated regression equation that was developed which predicts selling price given the square footage and number of bedrooms.

(x₂

denotes square footage,

x₃

denotes number of bedrooms, and y denotes the selling price.)

ŷ = 7679.47 + 67.88x₂ + 44959.40x₃

Compare the fit for this simpler model to that of the model that also includes number of bathrooms as an independent variable. (Round your answer to two decimal places.)

The adjusted

R²

for the simpler model is