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Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c. (Here (a,b) denotes the g.c.d. of a and b).
Academic response to Binomial Distribution, Historical data shows 15% of the customers entering a store make a purchase. There are 50 customers in the store at the moment.
Give 3 real-world examples where something is increasing at a constant rate or decreasing at a constant rate. The starting amount would be the y-intercept, "b", and the rate at which it increases would be the slope
Questions related on mathematics in computing.
Find the rate of change.
Find the best investment using the following decision criteria.
A manufacturing cell claims they make 500 parts per day. D etermine if their claim is correct.
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
At a price of $1.90 per bushel, the annual U.S. supply and demand for barley are 410 million bushels and 455 million bushels, respectively. When the price rises to $2.70 per bushel
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
Compare your observed values of the test statistic in parts F & G. What conclusion do you reach from this comparison?
Six people are going to travel to Mexico City by car. There are six seats available in the car. In how many different ways can the six people be seated in the car if only three of them can drive?
When are the Poisson and negative exponential distributions used and What are the advantages and limitations of simulation models?
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