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A large boat needs at least 4 meters of water to secure it at the end of the pier. Determine what time period after noon the boat can safely be secured.
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
The Rule of 70 is a mathematical approximation that calculates how long it takes for a value to double. Examples are as varied as finding how long it takes the Gross Domestic Product to double
Prove De Morgan's laws for sets by using set theory arguments
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
Complementary events. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are ind..
Show how to construct a triangle given the length of one side, the distance from an adjacent vertex to the incenter and the radius of the incircle.
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}.
What is the common meaning of the word linear? The mathematical meaning? What is a linear equation? A non-linear equation?
Calculate the coefficient of determination
On average 12 people every half hour check in at Counter A at the Qantas domestic terminal at Terminal 2 at Sydney airport. The people arrive at the counter randomly and independently.
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