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Let S and T be subsets of the universal set U. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each basic region.
n(U) = 77, n(S) = 20, n(T) = 23, n(S ' ∩ T ' ) = 42.
A wad of putty of mass 0.025 kg drops vertically onto the record from above and sticks to the edge of the record. What is the angular speed of the record immediately after the putty sticks to it?
Let R1 and R2 be two rays with a common vertex with an angle strictly less than pie(3.14). Construct the angle bisector ray B. In the setting of the previous problem, if you were given R1 and B, how would you construct R2?
What is the probability of creating a mini license plate with an E? A mini license plate for a toy car must consist of a number followed by a T and a vowel. Each number must be a 3, 6, or 9.
Solve the simultaneous linear equations by using the following methods. Algebraic Elimination Method
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
find the terminal point on the unit circle determined by 7pi/6
Suppose you are committed to owning a $199,000 Ferrari. If you believe your mutual fund can achieve a 12 percent annual rate of return and you want to buy the car in 9 years on the day you turn 30, how much must you invest today?
The ELISA test was introduced in the mid-1980s to screen blood for the presence of AIDS antibodies
Let H be a group and tau_1 : H ---->G_1, tau_2 : H ----> G_2, ... , tau_n : H -----> G_n homomorphism with this property: whenever G is a group and g_1 : G ---->G_1, g_2 : G ----G_2, ..., g_n : G ----> G_n are homomorphism
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
Describe an example of a data set that cannot be represented by a tree, but that be represented by a more general graph. Explain why it cannot be represented by a tree.
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
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