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A rectangle is formed from a square by adding 6 m to one side and 3 m to the other side. The area of the rectangle is 238 m squared. Find the dimensions of the original square.
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
Find the value of the integral of g(z) around the circle |z - i| = 2 in the positive section when g(z) = 1/(z^2+4)
In one town 76% adults have health insurance. What is the probability that 8 adults selected at random from the town all have health insurance?
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
Find the break-even points and the maximum revenue.
If the two hypotheses have equal prior probability, for what values of x is the posterior probability of H0 greater than that of H1 and what is the form of the likelihood ratio test of H0 versus H1?
Show that every subfield of complex numbers contains rational numbers. Show that the prime field of real numbers is rational numbers. Show that the prime field of complex numbers is rational numbers
Test the hypothesis for single proportion.
In the sequence of fractions {1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4, 5/1, 4/2, 3/3, 2/4, 1/5, 6/1, ...} fractions equivalent to any given fraction occur many times. For example, fractions equivalent to 1/2 occur for the first two times ..
How many different ways are there for an admissions officer to select a group of 5 college candidates from a group of 9 applicants for an interview?
Why does the graph of the basic exponential function lie entirely above the x-axis?
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