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Write the products from the reaction of the following reagents with p-xylene (p-dimethylbenzene).
A. Br2 and Fe
B. HNO3 and H2SO4
C. SO3 and H2SO4
2. A solution us prepared by mixing 1g of ethanol ( C2H6O) with 100g water to give a final volume of 101 ml. Calculate the mole fraction for the solute and solvent,and the molarity of ethanol in the solution.
Calculate the molality of a 6.55 kg sample of a solution of the solute CH²Cl²dissolve in the solvent acetone C³H0O if the sample contains 876 g of methylene chloride
Draw structures corresponding to the following names:
A. o- Iodobromobenzene
B. o- Nitrotoluene
C. m- Diisopropylbenzene
D. p- Chlorophenol
The total number of hours, measured in units of
100 hours, that a family runs a vacuum cleaner over a
period of one year is a continuous random variable X
that has the density function
f(x) =
⎧
⎨
⎩
x, 0 2 − x, 1 ≤ x < 2,
0, elsewhere.
Find the variance of X.
Find the average number of hours per year that families run their vacuum cleaners.
You are an analyst employed by a yacht manufacturer that last year sold 30,000 luxury yachts at $500,000 each. Your market research indicates that:
i) the price elasticity of demand for your aircrafts in −0.5. (or +0.5 in absolute value);
ii) the income elasticity of demand for your aircrafts is +2.6; and
iii) the cross price elasticity for your aircrafts with respect to the price of a comparable jet manufactured by a competitor is +1.4.
Now suppose that the only change you expect is a 6% increase in the price of your aircraft. Estimate sales this year and discuss the impact on total revenues. (5 MARKS)
]
Under which of the following conditions is the magnitude of the average velocity of a particle moving in one dimension smaller than the average speed over some time interval? (a) A particle moves in the % x direction without reversing. (b) A particle moves in the # x direction without reversing. (c) A particle moves in the % x direction and then reverses the direction of its motion. (d) There are no conditions for which this is true.
What products would you expect form the following halogenation reaction?
A. 2-Methylpropene + Br2 ------?
B. 1- pentene + CI2 ----- ?
Toss a fair coin twice. You win Ghc 1 if at least one of the two tosses comes out heads.
(a) Assume that you play this game 300 times. What is, approximately, the probability that you win at least Ghc 250?
(b) Approximately how many times do you need to play so that you win at least Ghc 250 with probability at least 0.99?
How many times do you need to toss a fair coin to get 100 heads with probability 90%?
