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1. Determine whether ∃ can be factored from an implication. In other words, is ∃x ∈ X,(p(x) → q(x)) ⇐⇒ (∃x ∈ X, p(x)) → (∃x ∈ X, q(x)) true? Explain your reasoning. Marks will only be given for your explanation. Hint: Think about giving meaning to each of X, p(x) and q(x).
2. Give a direct proof of the claim:
Let a, b and c be integers. If a|b and b|c, then a|c.
Suppose that we want to estimate the mean daily profit of a convenience store.
Prove that if a walk in a graph contains a repeated edge, then the walk contains a repeated vertex.
The frequency table shows data collected by the police in a automobile speed check. Which interval contains the median speed.
A magician has a hat that holds two rabbits. One rabbit is black and the other is white. In his last 16 performances he has randomly pulled the black rabbit from the hat 16 times. The probability that he will pull the white rabbit from the hat in ..
M and N are the midpoints ofSymbol for segment P R.andSymbol for segment Q R.respectively.
Important information about Finding a probability, Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men
What is the content adjacency problem? Why does it occur? What classifications of Web sites might be particularly susceptible to the content adjacency problem? What can advertisers do to minimize the likelihood that a content adjacency problem wil..
The price of a certain commodity in dollars per unit at time t (measured in weeks) is given by p = 8 + 7e^(-2t) + te^(-2t). What is the average price of the commodity over the 4-week period from t = 0 to t = 4?
Suppose that S and T are sets of size m and n, respectively. Choose a representation of these sets that makes it possible to implement Intersection(S,T), which returns S ? T , in time O((m + n) log m). Explain how the intersection is found and arg..
when observed from the top of a 250 foot lighthouse, the angle of depression of an approaching ship is 50 degrees. identify the horizontal distance from the lighthouse to the ship rounded to the nearest tenth?
He found that the average number of semester units completed was 12.96 units per student. Identify the population of interest to the researcher.
a certain radioactive isotope has a half life of approximately 1050 years. How many years will required for a given of the isotope to decay to 75% of that amount?
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