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A rectangular garden has dimensions of 25 feet by 19 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 672 square feet?
The bucket is filled with 44 pounds of water and is pulled up at a rate of 2.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well.
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. INTERPRET the answer.
Obtain the composite functions f(g(x)) and g (f(x)), and find all (if any) values of x such that f(g(x)) = g (f(x))
Calculate the probability that a person for whom the test result is positive has the disease
Two standarddice are rolled and the resulting numbers are multiplied together. What percent of the time will the product be an odd number?
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
A lamina with constant density p occupies the region under y = sinx, where x is between 0 and pi. Find the moments of inertia Ix and Iy and and the radii of gyration x and y.
George has just signed a 3 year lease on a $45000 car with a residual of 62% at 3.5 APR compounded monthly.
Explain Empirical and Theoretical probability. How well we understand the difference between empirical and theoretical probability is an important part of our ability to apply probability to a real world set of data.
consider the data points (1,9) (2,8) (3,6) and (4,3). Find the straight line that provides the best least-squares fit to these data.
Use RAM to estimate the area of the region enclosed between the graph of f and the x-axis for a is less than/equal to x, x is less than/equal to b.
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