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Question: a) How many cards must be chosen from a standard deck of 52 cards to guarantee that at least two of the four aces are chosen?
b) How many cards must be chosen from a standard deck of 52 cards to guarantee that at least two of the four aces and at least two of the 13 kinds are chosen?
c) How many cards must be chosen from a standard deck of 52 cards to guarantee that there are at least two cards of the same kind?
d) How many cards must be chosen from a standard deck of 52 cards to guarantee that there are at least two cards of each of two different kinds?
Consider the Problem based on first-order linear system. Show that the solution for t ≥ 0 is x(t)= β (t - τc)+(x0 + βτc)eAt. Make an accurate sketch of u(t) and x(t) (versus t) on the same graph, for x0 = 0, β = 3 and A = 0.5.
Is the origin an attractor, a repeller, or a saddle point of the dynamical system xk+1 = Axk?
If we want to interpret the given integral as the moment of inertia of a solid about some axis, what is the axis and what is the density of the solid?
Describe the organizational structure and design. Examine the organization's differentiation and growth strategy. Analyze strategic options and a management approach the organization uses as it relates to the organization's goals and strategies.
An investment grows by 23% over a 3-year period. What is its effective annual percent growth rate?
what is the primary reason for applying a finite population correction coefficient?a. when the sample is a very small
Find the rate of change of total reveune, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars.
How many ways are there to choose a dozen donuts from 20 varieties if there are no two donuts of the same variety?
ployee's new salary is $20,370 after getting a 5% raise. What was the salary before the increase in pay? Last years salary was $
Research using outcome controls or behavior controls to assess one company's sales performance. Considering your own firm (or one you know well), which system is your company currently using? Would you recommend changing the system being used or s..
Solve the following second order differential equations by the Laplace transform.
town A is 60 km due east of town B. Town C is 144 km from town A at a bearing (from A) of N57degreesE. How far apart are towns B and C?
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