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Let G be finite abelian group with this property: For each positive integer m such that m | |G|, there are exactly m elements in G with order dividing m. Prove that G is cyclic.
Test for independence of attributes
Evaluate the integral
Calculate the percentage of students who score less than 700
There are 3 boxes. Each box contains several envelopes. Some envelopes have "you lose" written on them. The rest say "you win..." . However, of the ones that say "you win..." , some contain only a piece of paper saying "... nothing" . Each of the ..
Find a vector in R5 which is not a linear combination and find a vector equation for the line through the points
Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions.
Probability and combination based questions. A golf ball is selected at random from a golf bag. If the golf bag contains 9 Titleist's, 8 Maxflis, and 3 Top Flites, find the probability of each event.
Confidence interval for Population mean
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Determine the dimensions of largest possible area of a rectangular garden - What are the dlmensions area if $1200 is to be spent for fencing material?
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
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