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A box contains 8 balls. One is numbered 2, two are numbered 3, one is numbered 4, and four are numbered 5. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance of the numbers on the balls. (Round off your final answer to 2 decimal places).


Acme Tobacco is currently selling 5,000 pounds of pipe tobacco per year. Due to competitive pressures, the average price of a pipe declines from $15 to $12. As a result , the demand for Acme pipe tobacco increases to 6,000 pounds per year.

a) what is the cross elasticity of demand for pipes and pipe tobacco?

b) Assuming that the cross elasticity does not change, at what price of pipes would the demand for pipe tobacco be 3,000 pounds per year? Use $15 as the initial price of a pipe.


A 200 m long aluminum wire has the same resistance and cross-sectional area as a carbon wire.What is the length of the carbon wire?

suppose a 4,400 pounds(lbs). object was traveling at a speed of 49.2ft/s. now, this mass transfer all its energy to another body with a mass of 44lbs . what Will be the velocity of the 44lbs mass after being hit by it.

3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to the nearest cent?


1.     Why is it difficult to test the presence of chloride in organic compounds than in inorganic ones like hydrochloric acid? 


Write a complete C++ program


a) that will prompt the number of the pancake produce per day, the thickness in mm (millimetres) and the diameter in cm (centimetres) of each pancake,


b) to identify and display minimum and maximum for both dimensions,


c) to calculate and display the average for both the dimensions



In a piston-cylinder arrangement of an engine there are 0.1 kg of gases at 4 MPa and 1527 °C at the beginning of the expansion stroke. The gases expand in a polytropic process with n =1.5 to a volume 10 times larger. Find the expansion work and the heat transfer. Assume the gas to be perfect gas with R= 0.287 kJ/kg-K, and Cv= 0.717 kJ/kg-K.

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 managers claim at 5 %.                                                              (6mk


Write a program to create a class which name is rectangle and also creat two data members Wich data type is float and calculate area of triangle which formula is(area=1/2 *base*height) uses constructor

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