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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).


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?


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


Confidence level=99% ó= 0.46 n=40







prove that sin (degree(m)) is an algebraic number of any integer m.



prove that sin (degree(1)) is an algebraic number


prove that the product of two algebraic integers is an algebraic integers


It is the most common model for relative frequencies of a continuous random variable.


prove that the sum of two algebraic integer is an algebraic integer


Let R = {(0,1),(0,2),(1,1,),(1,3),(2,2),(3,0)} be a relation defined on

A = {0,1,2,3}.Find the zero-one matrix of transitive closure of R.


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