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In a school of 512 students, 91 students are in the band, 213 students are on sports teams, and 40 students participate in both activities. How many students are involved in neither band nor sports?
A ball of radius 12 has a round hole of radius 5 drilled on an axis through its center. Find the volume of the resulting solid.
You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
A kilobyte is 2^10. A megabyte is 2^20 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find your answer and give your answer in exponential form.
Use the Empirical Rule to find what two values 68% of the data will fall between for a data set
The Greeks would show that the square of side square root (11) and the rectangle of length 11 and width 1 have the same area by dividing one of them into a fi nite number of triangles and reassembling the triangles to get the other. Can you do so?..
A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include..
Find the p-value associated with the test of hypothesis
A cylindrical drill with radius r1 is used to bore a hole through the center of a sphere of radius r2. Find the volume of the ring-shaped solid that remains.
If it takes the doctor 80 minutes to prepare a tooth for a crown, and 30 minutes to seat the crown and the fee for the crown is $550, what does the doctor produce per hour?
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
Two cars leave an intersection at the same time, one traveling north and the other traveling east. Some time later, they are 20 miles apart, and the car going east has traveled 4 miles further than the other car.
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