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puss had been called in to Monrovia to get rid of the rats. puss had been told that he could bring as many of his friend as he wished to help him. after a year every cat had killed an equal number of rats;the total was 1,111,111 rats. how many cats were there?
What is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan..
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
Probability when throwing five six-sided dice, Compute the probabilities for each of the following when you throw five-six handed dice.
Consider the following Pay-off Table: Decision Alternatives Shortage Stable Supply Surplus
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
Suppose that X1 and X2 are Gaussian random variables with means µ1 and µ2 respectively. Assume that µ1 ≠ µ2. The variance for each of the two random variables is σ2. Find the value of x for which fx1(x) = fx2(x).
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.
Adams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Compute the number of calenders that should be ordered. The J&B Card Shop sells calendars depicting a different Colonial scene each month. The once-a-year order for each year's calendar arrives in September.
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