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color guard is making flags that must have a base of 18 inches for flagpoles. what is the maximum length of the triangular flags, if they want to use a maximum of 252in.^2 of cloth?
To pass a course, you must have a final average of at least 60%. If a student scores 42 and 74 on the first two tests, what must be earned on the third test to pass the course?
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
Prove De Morgan's laws for sets by using set theory arguments
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
What "postulated proportion" would be associated with that distribution and using beta distribution quantiles, construct a 95% confidence interval for the success proportion of that distribution.
Two masses of 14 kg and 7 kg are connected by a light inextensible string passing over a pulley and the system starts from rest and moves for 3 sec, when the string breaks.Find after what further interval of time the smaller mass comes to its orig..
The length of a rope required to wrap around a circular wheel exactly is 8.8cm. What is the diameter of the wheel to the nearest tenth?
A factory employs several thousand workers, of whom 20% are Hispanic. If the 20 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n =..
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
Let f : [0,1]-->[0,1] be a continuous function. Show that there exists a real number x in [0,1] such that f(x)=x (apply the intermediate value theorem to the function f(x) -x).
Determine how many tickets should be sold for a flight on an airplane which has 400 seats, such that with probability 0.95 everybody who appears for the departure of theflight will have a seat. what assumption are you making.
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