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Question: Let S be the set of bit strings defined recursively by λ ∈ S and 0x ∈ S, x1 ∈ S if x ∈ S, where λ is the empty string.
a) Find all strings in S of length not exceeding five.
b) Give an explicit description of the elements of S.
Explain what is meant by a universal set. Give a real world example of two universal sets. Be sure to first clearly define the two sets.
What is the probability that during one particular minute there will be less than 5 phone calls?
Given a multistory building with a floor-to-floor height of 10 ft and an optimal riser height of 7 in., how many treads would you use for a U-shaped stair with a mid-landing between floors? (The landing is not counted as a tread.)
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 miles, the distance between the cars was 3 miles more than the distance traveled by the car heading east. How far had the eastbound car ..
Given the vertex pairs associated to the edges of an undirected graph and the number of times each edge appears, construct an incidence matrix for the graph.
A baseball diamond has the shape of a square with sides 90 feet long. A player running from second base to third base at a speed of 28 feet per second is 30 feet from third base.
a company that makes fortune cookies makes them in batches of 1000 cookies. the fortunes in the cookies are distributed
Given a positive integer n, find the probability of selecting the six integers from the set {1, 2,...,n} that were mechanically selected in a lottery.
A long distance trucker traveled 208 miles in one direction during a snowstorm. The return trip in rainy weather was accomplished at double the speed and took four hours less time. Find the speed going.
Suppose that a connected planar graph has 30 edges. If a planar representation of this graph divides the plane into 20 regions, how many vertices does this graph have?
(a) Given that 100 people have heard the rumour by 12 noon, determine how long it takes for half the population to have heard the rumour. Enter your answer in hours rounded to exactly one decimal place. (b) How many people have heard it by 8pm? (H..
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