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Describe a discrete structure based on a graph that can be used to model relationships between pairs of individuals in a group, where each individual may either like, dislike, or be neutral about another individual, and the reverse relationship may be different
Explain Pat paid 1/3 of his debt one year and 1/4 of his debt the second year. At the end of the year, how much of his debt remained?
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
Find the vertical and horizontal asymptotes. Find the interval where the function is increasing. Find the intervals where the function is decreasing.
Find the range, mean, median, and mode of the dataset - what proportion of the data is within 1 standard deviation of the sample mean - What is the probability that you will get a sum of 27 at leasttwice?
For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is un-favorable, Ken will suffer a loss of $200,000. But Ken has always been a very optimistic decis..
Prove Pythagorean Theorem, which states that the square of hypotenuse is equal to the sum of squares of the other two sides and prove by contradiction that there are infinitely many prime numbers.
A golf bag contains 6 white balls and 8 yellow balls. What is the probability of each event?
a company is trying to establish a desirable transportation arrangement from its three plants to its four regional
Let G={e,x,x2,x3,y,xy,x2y,x3y} with o(x)=4, o(y)=2 and xy=yx3. Then the number of elements in the center of the group G is equal to
Hyperbolic functions are similar to trigonometric functions. Define hyperbolic cosine, denoted cosh(x) as cosh(x) = (ex + e-x) / 2, and define hyperbolic sine, denoted sinh(x), as sinh(x) = (ex + e-x) / 2.
What is the probability that during a 5-minute interval no one will enter the store? What time interval is such that the probability is 1/2 that no one will enter the store during that interval?
Compute the length of its path from t = 0 to t = 5, Compute the velocity at time t and compute the acceleration at time t.
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