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At 20 ^circ {rm C} the vapor pressure of benzene ({rm{C}}_6 {rm{H}}_6 ) is 75 rm torr, and that of toluene ({rm{C}}_7 {rm{H}}_8 ) is 22 rm torr. Assume that benzene and toluene form an ideal solution.What is the composition in mole fractions of a solution that has a vapor pressure of 37 torr at 20 ^circ {rm C}?
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
What are the vertical and horizontal forces of a 1200 N force directed to the right and upward at an angle of 43 degrees with the horizontal?
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. Hint: there is more than one solution.
A firm is faced with the attractive situation in which it can be obtain immediate delivery of item it stocks for retail sale. The firm has, therefore, not bothered to order the item in any systematic way.
If the sun is 55 above the horizon, find the length of the shadow cast by a building 86 ft tall. round your answer to the nearest tenth.
Fitting of simple linear regression
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
The principal P is borrowed at a simple interest rate r for a period of time (t). Find the simple interest owed for the use of money. Assume 360 days in a year and round answers to the nearest cent
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.
Working with probability distributions and expected values. Suppose 5 apples in a barrel of 25 apples are known to be rotten.
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