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Suppose that 10 coins are tossed and the number of heads observed.
a. Describe the sample space for this experiment.
b. Describe the event "more heads than tails" in terms of the sample space.
Assume that the drawer contains 11 coins: 5 quarters, 3 dimes, and 3 nickels. One coin is randomly selected. What is the expected value of the coin selected (in cents)?
Let F(u,v) be a function of two variables. Find f '(x) for each of the following. Use F_u and F_v for F_u and F_v
A spherical ballon is being inflated at the rate of 5 cubic inches a minute. At what rate is the radius changing after ten minutes?
Part of $13,750 is invested at 9% annual interest, and the rest is invested at 8%. After one year, the accounts paid $1,160 in interest. How much was invested at the lower rate?
A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. Repetition of digits is permitted.
distance of 3600 km against the wind the return trip takes 4 hours with the wind What is the rate of the plane in still air and what is the rate of the wind?
Probability : Coin flips - What is the probability that someone is on the committee, but not all six people?
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
Transform the following linear programming model into proper form for solution by the simplex method (including the artificial variable) and generate the initial simplex tableau. Determine the entering variable and leaving variable.
A person receives $212 per year in simple interest from 3 investments totalling $2500. Part is invested at 7%, part at 8%, and part at 9%. There is $1100 more invested at 9% than 8%. Find the amount invested at each rate.
A glass box measures 7 X 12 X 18 cm and is closed on all six sides. It is partially filled with colored water. When the box is placed on one of its 7 X 12 sides, the water level is 15 cm above the table. If the box is placed on one of its 7 X 18 s..
Find the maximum value of the quadratic function. Make sure to show your work.
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