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The m-th number is the number Pm = 1/2 m (3m - 1 ).
A pentagonal number is a deficient square if Pm = n^2 - 1 for some integer n.
Find the first five positive deficient square pentagonal numbers.
The answer should demonstrate in a table with 3 columns how to get the corresponding m, n and Pm for each of the 5 numbers.
Find the maximum height of arrow using given function and prepare a table of values and graph the function
Use excel solver to find solution for LP problem A couple has agreed to attend a "Casino Night" as part of a fundraiser for the local hospital. They do not like to gamble because they believe that gambling is generally a losing proposition.
Test the hypothesis for single proportion.
Calculate the mean of this sampling distribution
Important information about Probabilty, A single die is rolled once. You lose $12 if a number divisible by 3 turns up. How much should you win if a number not divisible by 3 turns up for the game to be fair?
A silver dollar is flipped twice, calculate the probability of each of the following occurring: A, a head on the first flip
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
Description of Probability : Random Selection, Suppose there are two vendors and each provides 50% of the items. The lifetime (in days) of an item from the first vendor is Exp
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
What do you find challenging about working with rational expressions? What strategies have you developed to overcome these challenges?
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
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