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Use the gemerators and relations for D(sub2n)=<r,s/r^n=s^2=1,rs=sr^-1> to show that if x is any element of D2n, that is not a power of r, then rx=xr^-1.
Here D2n is the dihedral group of order 2n
Permutation and combination to find number of ways
A significant difference in the average amount
Find the difference in the average number of people
I will use * to symbolize a partial derivative. For example, u*x denotes the partial derivative of u with repsect to x. Here is the problem, D'Alembert's solution for the one-dimensional wave equation for a semi-infinite string.
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
Question based on sampling distribution - What is the probability that the proportion in the sample with M.B.A. degrees is between 59.5% and 60.5%?
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
What is the probability that a completely unprepared student answers correctly. Solution to "Binomial Distribution" question
Probability density function sample question, Let E be the event that the number which comes up when a single die is tossed is divisible by 3. Let X be the number of times that event E occurs in 3 tosses of the die
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
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