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1. If A and U are two subsets of a normed vector space, and U is open, show that A+U is open. Here A+U={a+u | a belongs to A and u belongs to U}.
2. Suppose {xn} from n=p to infinity is a non-converging subsequence in a compact set of a metric space. Show that it has two convergent subsequences which converge to distinct limit points.
The table below shows the number of gallons of heating oil delivered to a residential customer each December from 1986 to 1993.
What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?
A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction 85 degree. Because of bad weather, it returns to another airport 230 km due north of its home base.
Prepare a research paper on two independent variables
There are 3 boxes. Each box contains several envelopes. Some envelopes have "you lose" written on them. The rest say "you win..." . However, of the ones that say "you win..." , some contain only a piece of paper saying "... nothing" . Each of the ..
List the elements in A U B U C. (they are suppossed to be upside down U"s ) State A U (B U C). (the U in between the b, c is the wrong way).
What is the probability that a student selected at random in the university is male and majors in mathematics?
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
find the probability based on normal distribution
In the questions I have below it says a bowl has eight ping pong balls numbered 1,2,2,3,4,5,5,5. You pick a ball at random.
A copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge.
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