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Arrange in increasing boiling points.


I.CO² II.H²O III. O² IV.C⁶H¹²O⁶



a. I,II,III,IV





b. III,I,II,IV





c. III,II,I,IV





d. II,I,IV,III



If a 30-week deadline is imposed, what is the probability that the project will be finished within the time limit?


If the project manager wants to be 99% sure that the project is completed on the scheduled date, how many weeks before that date should he start the project work? (Please explain the answer of only this part of the question in brief)


Given Data:-

Variance of project (Sum of variance of critical activity) = 6

Expected project length of critical path = 5 + 15 + 4 + 5 = 29 weeks.



Show, by the use of the truth table (truth matrix), that the is a contradiction.

                                       ( pvq ) へ [ ( -p ) へ ( -q ) ]



Show that  -p > (q → r) and q → (p V r) are logically equivalent.



a. Using the provided information below,

x=33.2, x2=131.67, y=30.78 , y2=116.52 , xy=119.8 , and n=10

i. Find the sample correlation coefficient r







ii. Find the co-efficient of determination


1. A certain store has four ways of handling returns: cash refund, credit to account, exchange, or refusal. The manager claims that the four ways are equally probable.to test this hypothesis, 108 customers were sampled with the following results


Type Cash Credit exchange Refusal


Count 34 27 32 15


Does the data support the manager’s claim at 5 %.




Consider a closed economy that is characterized by the following equations:

Y = C + I + G (1)

C = 900 + 0.5(Y − T) (2)

I = 750 − 30r (3)

T = 800 (4)

G = 1200 (5)

Md = Ms

(6)

Ms = 1500 (7)

Mt = 0.7Y (8)

Msp = −80r (9)

Where Y is the GDP, C is private consumption expenditure, I is the Investment expenditure, G

is government expenditure, T is tax revenues, Ms


is money supply, Mt


is transaction demand

for money, Msp is the speculative demand for money and r is the interest rate (in % points).

a) Derive (Md⁄P) the demand for real money balances equation (where P is the aggregate

price level.)

b) Derive the IS and LM equations of the economy (Express Y as a function of r and assume

P is fixed at 1.0.)

c) Calculate the short–run equilibrium values of Y and r in the economy.


Consider a closed economy that is characterized by the following equations:

Y = C + I + G (1)

C = 900 + 0.5(Y − T) (2)

I = 750 − 30r (3)

T = 800 (4)

G = 1200 (5)

Md = Ms

(6)

Ms = 1500 (7)

Mt = 0.7Y (8)

Msp = −80r (9)

Where Y is the GDP, C is private consumption expenditure, I is the Investment expenditure, G

is government expenditure, T is tax revenues, Ms


is money supply, Mt


is transaction demand

for money, Msp is the speculative demand for money and r is the interest rate (in % points).

a) Derive (Md⁄P) the demand for real money balances equation (where P is the aggregate

price level.)

b) Derive the IS and LM equations of the economy (Express Y as a function of r and assume

P is fixed at 1.0.)

c) Calculate the short–run equilibrium values of Y and r in the economy.


A survey of middle-aged men reveals that 28% of them are balding at the crown of their

heads. Moreover it is known that such men have an 18% probability of suffering a heart

attack in the next ten years. Men who are not balding in this way have an 11% probability of

a heart attack. Find the probability that a middle-aged man will suller a heart attack sometime in the next 10 years


Use inductive reasoning to predict the next number in each of the following list.




2, 5, 10, 17, 26, ?

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