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Let f, g : [a, b] → R be two continuous functions. If f(x) > g(x) for all x ∈ [a, b], then there exists a number c > 0 such that f(x) ≥ g(x) + c for all x ∈ [a, b].
How should I go about this problem? I have a gut feeling that the IVT can be used in some way. Maybe making a function h = f - g and using that somehow?
a card drawn from a standard deck of playing cards. a)what is probability that it is an ace? b)what is probability tu be a face card.
Let f(v) be the amount of energy consumed by a flying bird, measured in joules per second (a joule is a unit of energy), as a function of its speed v.
The coach would like to know the following about her team=s efforts this past year: On average, how the team is doing - can you help her out? What are the median goals scored against them
A cubical box measures 55 centimeters on each side. If the contents are worth $0.17 per cubic centimeter, how much are the contents worth?
A publicly traded corporation has issued 10,000 shares of cumulative preferred stock that will earn $0.73 per share and 1,000,000 shares of common stock.
Pulani bought a scooter for N$15 000. She paid 15% of the amount in cash as a deposit and signed a hire-purchase agreement to pay the balance in 24 equal monthly instalments.(a) How much did she pay in cash?
Prove that if the Shapley value of such a game is used to determine the allocation of costs, then the maintenance cost of each road segment is borne equally by all the people using that segment.
A clinical trial for a new fertility treatment was provided to 250 women for a 10 year study perio~Investigators were interested in noting when women became pregnant for the first time (subsequent pregnancies were not an outcome of interest, only fir..
(a) Convert the preceding data into a Pareto table having three columns: cause, frequency, and percentage of total frequency.
find the statistic that measures the width of dispersion (looseness or tightness) of the population data about its mean .
Examine the Empirical Rule describing the Normal Curve. Compare how the Empirical Rule and Chebyshev's Theorem describe area under the curve at two and three standard deviations from the mean
Who gets to the door first? How many turns does it take each student to reach the door.
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