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Two Social Security numbers match zeros if a digit of one number is zero if the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same positions. For example, the Social Security numbers 120-90-1109 and 430-20-5402 have matching zeros.
Prove: Given a collection of 513 Social Security numbers, there must be two that match zeros.
25.16: Let f: N -> Z by
f(n) = set of -n/2 if n is even and (n+1)/2 if n is odd.
Prove that f is bijection.
Framing algebraic equations
The probability of event B given event A is P(B|A)=P(AandB)/P(A) The probability of event A given event B is P(A|B)=P(Aand B)/P(B)
the probability that she is either rich or beautiful is 0.5, what is the probability that she is both rich AND beautiful?
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
Explain why a point on the boundary line cannot be used as a test point when graphing a linear inequality in two variables. Provide an example.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Sketch the graph from information.
Find the first five terms in the Taylor series about x = 0 for f(x). Find the interval of convergence for the series in part (a).
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system.
Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b)) Write an equation for the tangent line that is parallel to the secant line AB. Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1
At a one percent level of significance, test to see if the mean of the population is at least twelve ounces. Write your conclusion?
Evaluate the tangent line approximation of the two values and compare with the true value - what about the graph cases
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