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Jack is making cupcakes for his party. He has 4 different types of frosting. He is baking 5 different kinds of cake for the cupcakes. He has 7 different wrappers for the cupcakes. He randomly combines them so that each cupcake has one frosting, one cake, and one wrapper. He believes that if he makes 130 cupcakes, that he will definitely have duplicate cupcakes. Is he correct? Explain. Use the pigeonhole principle.
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
A code consists of 2 different symbols selected from X followed by 3 not necessarily different symbols from Y. How many different codes are possible?
Let α be an irrational number with continued fraction expansion [α0, α1, ...]. Show that the continued fraction expansion of -α is
you have a choice to build a small new plant do nothing the value of this is zero or build a large plant. well use net
Membership in a Civic Organization In a civic organization, there are 38 members; 15 are men and 23 are women. If 3 members are selected to plan the July 4th parade, nd the probability that all 3 are women. Would you consider this event likely or ..
question boat as position is given by xt3-t yt2t-4 where the distance units are kilometres and the time units are
How many music players will be bought at a price of $260? Graph the demand function for 0 ≤ x ≤ 400. Find the marginal demand, q'(x). Interpret the meaning of the derivative.
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 552 feet of fencing is used. Find the maximum area of the playground.
Use a wire of length x to bend into a shape of rectangle, a square, and a circle. Which shape has the largest area? *show which is largest* write functions
Find a formula, using the sine function, for your height h above ground after t minutes on the ferris wheel. Graph the function to check that it is correct.
Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 21 years old.
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