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I have 6 colors which is Blue, Red, Yellow, Orange, And Green and each of them is equal to each other, so now what is the propability that i will get red?


Proof using Osborne's rule that 1-tanh^2x=Sech^2x

Proof using Osborne's rule that cosh2A=Cosh^2A+Sinh^2A

Use a Venn Diagram to illustrate the following:

a. The subset of odd integers in the set of all positive integers not exceeding 10

b. The set of all months of the year whose names do not contain the letter R in the set of all months

of the year



2. The mathematics teacher claims that the mean IQ of Statistics students is 110 with standard deviation of 12. The mean IQ of 28 randomly selected Statistics students is 112. Test the difference of the population and sample means at 5% level of significance.

What is the t value of the distribution with a= 1% and n=8 under the one tailed distribution

Given z1=2<45degrees, z2=3<120degrees, z3=4<180degrees. Determine the following:

a) (z1)^2+z2/z2+z3

b) z1/z2*z3


simplify (4x1/3+ 4x7/3-8x4/3)รท4x1/3

Solve the following differential equations : (x + cosy)dx + (-xsiny)=0


Let R be a relation on the set A={1,2,3,4,5,6} defined by R= {(a,b):a+b is less than or equal to 9}. What are the elements of R?


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