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Question: Let W be the space spanned by f = sinx and g = cosx.
(a) Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
(b) Show that f_1 and g_1 form a basis for W.
Conditional Probability of Drawing Different Kinds of Cards. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
Let S be a set with an associative binary operation but with no identity. Choose an element 1 not belonging to S, write M = {1} or S, and define an operation on M by using the operation of S and 1s=s=s1 for all s belonging to S.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
Use the given information to draw the graph of f(x) on an interval near the indicated point (x=3). If there is not enough information given, then state this fact.
Find the number of hours that represent the 40 percentile.
Probability: Credit Card. Credit card companies have aggressively solicited new accounts from students who are new homeowners. Suppose that a sample of 150 new homeowners indicated the following information as to whether they possessed a Visa Card
Real mean difference in interval
Solving problems on permutation and combination
The integers 1 through 25 are arranged in a 5 x 5 array (we use each number from 1 to 25 exactly once). All that matters is which numbers are in each column and how they are arranged in the columns.
Explain how regression and analysis can be used to test a Survey?
Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
Assume that the average annual salary for a worker in the United States is $28,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following
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