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A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.
a) Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents (where the order in which the coins are used matters).
b) In how many different ways can the driver pay a toll of 45 cents?
Fenced-In Land. A farmer has 100 yd of fencing. What are the dimensions of the largest rectangular pen that the farmer can enclose?
Determine the arc length of the given spiral on 0 ≤ t ≤ 8. Now determine the arc length of the given spiral on [0, ∞).
Estimate and plot the uncertainty in the temperature measurement as a function of the temperature of the sphere.
Reaction rates for chemical reactions are usually expressed in the form:For a particular reaction, measured values of the forward and backward reaction rates Kf and Kb,
Barbara invested $150 at a certain rate of interest compounded anually for two years. If the accumulated value at the end of two years is $175, find the rate of interest.
With a tail wind, a plane flew 240 km in 45 minutes. With no change in the wind, the return trip took 48 min. Find the wind speed and the air speed of the plane.
Explain Stock probability, We have been informed that the stock has gone up 20%. What is the probability of a rise or fall in the GDP?
What will be the null hypothesis, the alternative hypothesis, and, hence, the "tailedness" of the test (left-tailed, right-tailed, or two-tailed)?
Which measurement uses absolute values?
a 52-year-old client asks an accountant how to plan for his future retirement at age 62. he expects income from social
The cost of fuel for running a train is proportional to the square of the speed it generates in Km. per hour. It costs Rs. 750 per hour, at a speed of 60 km, per hour.
Following the corporate scandals that rocked the business world in the past ten to fifteen years, many companies have adopted corporate ethics policies in an effort to change the culture of their corporation or to set standards for their suppliers..
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