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How can you represent a pedigree for a mixed breed of dog (a Schnoodle, for example) using set theory? Create (describe) a Venn diagram and a numeric sentence to describe the set.
A bookstore sells a total $4500 worth of math books, $3000 worth of science books, and $1200 worth of history books. the book store also sells several other types of books. the total sales are $11,000.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
A stone is dropped from a high cliff and falls with velocity v = 32t feet per second. How many feet does the stone travel during the first 3 seconds?
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
Compare the advantages and disadvantages of substitution and elimination methods with the matrix method to solve systems of linear equations and the relationship these have with matrix method solving.
A catering service has been asked to provide a lunch buffet the next day for 40 people at a set price of $10.50 per person; no function has been booked for the next two days.
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
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