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Provide step-by-step solutions to the given problem below. Write your answers on


the spaces provided.


Consider all samples of size 2 from the population 2, 5, 6, 9, 11, and 13. Compute


the mean, and variance of the sampling distribution of the sample mean.


First step:


Second step


a)


b)


Third step


Fourth step


Fifth step


Sixth step


a)


b)


Seventh step


a)


b)


c)


d)






Determine the molar mass of an unknown nonvolatile solute of nonelectrolyte compound raising the boiling point of 150 g of benzene by 0.500°C.

Calculate the pH of the resulting solution then the original solution is mixed with 75.0 mL of 0.200 sodium acetate solution. **Write answer in THREE SIGNIFICANT FIGURES.


How many grams of CO2 are produced when 100 g C4H10 undergoes combustion with 200 g O2?

Use the following molar masses: C4H10=58g/mol, O2=32 g/mol and CO2=44g/mol.


What is the limiting reactant?

what is the excess reactant?

how many grams of CO2 is produced?



1. Using the definition C = Q/V, show that for a SERIES connection of capacitors:



1/C1/C1+1/C2. What does this equation mean? What happens to C as more and more capacitors are connected in series? 2. Using the definition C = QV, show that for a PARALLEL connection of capacitors: C = C1 + C2. What does this equation mean? What happens to C as more and more capacitors are connected in parallel?

Calculate the boiling point and freezing point of the following solutions:




1) 0.575 molal aqueous solution




2) 10 g of CH,0 dissolved in 259 g water.




3) 0.5 mole Br, dissolved in 507 g chloroform

by using squeeze theorem shaw that the lim of 1-coax/x2 =0 as x tends to 0

To what extend does financial planning influences investors and business owner’s financing decision.?



  1. A pile of 600 sheets of paper has a mass of 2 kg. The pile is 300 mm long, 200 mm wide, 50 mm thick. Calculate:
  2. The thickness of one sheet (2 marks)
  3. The mass of one sheet. (2 marks)
  4. The volume of the pile. (2 marks)
  5. The density of the paper. (2 marks)

Does the idea that all cultures and customs should be respected, decrease instances of discrimination based on race and/or culture?

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