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a piece of wire 11 ft long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Allow x to equal 0 or 11, so all the wire is used for the square of for the circle. How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount. What increase would create a new storage unit with a volume 10 times the original
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
Calculating the probability values
Does anyone have the quizzes for APU Math 125/Math in Our World, Second Edition.
If the box is to have a volume of 72 cubic inches, find the length and width of the cardboard that must be used.
A drop of oil measuring 0.23 cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 20 cm. approximate the thickness of the film. Using scientic notation rounding to the nearest hundredth.
What ordering cost would enable the manager to justify ordering every other day? (Round your intermediate calculations and final answer to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute..
What is the probability that it is orange? What is the probability that it is orange, given it is NOT red?
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
What are the possible orders of subgroups of S4? Prove that S4 has at least one subgroup of each of these orders. What are the elements of these subgroups?
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