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Prove that any open cover of R (real numbers) has an at most countable subcover.
For this proof, my professor wants us to go in this direction: Show that R can be written as the union of closed intervals, and since closed intervals are compact, each interval has an open cover which admits a finite subcover. Then, a finite union of subcovers covers R.
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
How much (to the nearest dollar) will they receive?
Compute the total present value of a series of 5 future payments of $20,000 each which are to be received 12, 14, 16, 18, and 20 years from now when interest is compounded continuously at rate 10% per year.
A trapezium with an area of 168cm squared has parallel sides of lengths 6cm and 18cm.
Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent? Description of Mutually exclusive events
The revenue produced by a new oil well is $1 million per year initially (t = 0), which is expected to rise uniformly to $5 million per year after 10 years.
At any time, t, a population, P(t), is growing at a rate proportional to the population at that moment.
Write a equation. A model rents double rooms for $55 per day and single rooms for $26 per day. If 23 rooms were rented one day for a total revenue of $1033, how many rooms if each kind were rented
If the Total cost is TC=100+20Q and the margnal cost is MC=20 with a Quantity demanded is QD=300-2P, what the AVC and the ATC? How do you solve it?
Kelly has $25 dollars in her purse, and dante had d dollars in his wallet which algebraic expression represents the total amount kelly and dante have?
A high school counselor wants to examine whether the teenage pregnancy rate at her school is different from the rate nationwide. She knows that the rate nationwide is 15 %. She randomly selects 80 female students from her high school. She finds th..
In a California town, the monthly charge for waste collection is $8 for 32 gallons of waste and $12.32 for 68 gallons of waste.
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