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"Logic and Proofs" Please respond to the following:
What does it mean to prove something in mathematics? How is this different from in real life?
Give an example of something you've had to prove in your own life. What evidence did you provide to support your reasoning? What strategies did you use to prove your case?
Find a proof on the internet that you understand. Show it here and cite the source. Explain what method of proof the author used and what makes the proof comprehensible to you.
- no phrasing
To check this, a random sample of n = 100 parts is selected and 14 are found to be outdated. Based upon this information, what is the probability of 14 or more outdated parts?
a rectangle with a perimeter of 102 inches is half as wide as it is long.Write and solve an equation to determine the length of this rectangle in inches?
Do the two methods produce different results? Explain.
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
a carpenter is building a rectangular room with a fixed perimeter of 104 ft. what dimensions would yield the maximum area? what is the maximum area?
A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. Repetition of digits is permitted.
A manufacture has been selling 1500 television sets a week at 360 each. A market survey indicates that for each 15 rebate offered to a buyer, the number of sets sold will increase by 150 per week.
Suppose a rational function R(x) has the horizontal asymptote y=3/2. Explain the behavior of the function as the variable x increases without bound
leading economic indictators: the value of the conference board index of 10 economic undicatators in the U.S could be approximately by the following function of time t in months since the end of december 2002.
1 . a shipping company handles rectangular boxes provided the sum of the height and the girth of the box does not exceed 96 in. ( the girth is the perimeter of the smallest base of the box). Find the dimensions of the box that meets this condition ..
Travelling 260 miles east of a town, John average speed is 60 mph until he came upon an accident site which reduced his speed 20mph. His trip took him 7 hours to complete, how many miles did John travel at the reduce speed.
The temprature recorded in a city during a given day approximately followed the curve of T=0.00100t^4-0.280t^2+25 where t is the number of hours from noon
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