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A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
The base of a rectangular tank is 3m by 4m and is 10m high. Water is added at a rate of 8m^3/min.Find the rate of change of water level when the water is 5m deep.
Find the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation
Let {f_n} be a sequence of measurable functions on [0,1] with |f_n (x)| 0 a.e.x
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Assume that 10% of the population is left-handed. If three people are chosen at random, what is the probability that at least one will be left-handed?
Suppose that n = pqr is the product of three distinct primes. How would an RSAtype of cryptosystem work in this case? In particular, what relation would e and d satisfy?
Find the rate at which velocity of expelled air is changing with respect to the trachea's radius during a cough. Is the velocity of airflow increasing or decreasing when r=1/2R? Why? Show all your work.
an actor invests some money at 9%, and $27000 more than three times the amount at 10%. The total annual interest earned from the investment is $35850. How much did he invest at each amount?
Determine the equation for 9(t) thus obtaining differential equations for the functions x(t) and y(t). What initial conditions do these functions satisfy at t = 0?
Linear Spaces, Mappings and Dimensional Spaces, 1) Show that if dim X = 1 and T belongs to L(X,X), there exists k in K st Tx=kx for all x in X.
Jamie and Alice Newmark have a combined monthly gross income of $9,702 and monthly expenses totaling $2,811. They plan to buy a home with a mortgage whose monthly PITI will be $2,002.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
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