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A quiz consists of 20 multiple-choice questions, each with 5 possible choices. For someone who makes random guesses for all of the questions, find the probability of passing if the minimum passing grade is 90 %.
Show that the limit of x(t) as x-> infinity is finite, i.e., the boat will travel a finite amount of distance after its motor quits. What is the maximum distance the boat will travel after its motor quits?
Sharon has just retired, and has 1000000 dollars in her retirement account. The account will earn interest at an annual rate of 6 percent, compounded monthly.
How would you find the definite integral for the following functions: f(X) = 67 over the interval [0,1]
A building 260 feet tall casts a 70 foot long shadow. Find the angle of elevation of the sun to the nearest degree.
A fence a feet high is b feet from a tall burning building. Find the length of the shortest ladder that will reach from the ground across the top of the fence to the building.
Determine the steady state temperature distribution in a 1 x 1 square plate where the top is held at 100 and the other three sides are held at 0.
you are designing a rectangular poster to contain 256 inches squared with a 3 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used ?
Use the equation to predict the average global surface temperature in 2070.
Plot the data, fit a trend line, and discuss the strength of prediction of the regression model.
Determine the stable and unstable manifolds for the rest point of the system.
To use an automated teller machine (ATM), a customer must enter his or her four-digit Personal Identification Number (PIN). How many different PINs are possible?
Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
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