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Question: A basketball team has 12 players. However, only five players play at any given time during a game. In how may ways may the coach choose the five players? To be more realistic, the five players playing a game normally consist of two guards, two forwards, and one center. If there are five guards, four forwards, and three centers on the team, in how many ways can the coach choose two guards, two forwards, and one center? What if one of the centers is equally skilled at playing forward?
day, I traveled three and a half times more, as well as an extra three-quarters of a mile in my kayak, as I did on Monday. Denoting d to be the distance (in miles)I traveled on Monday, what is the expression for the distance I traveled on Tuesday?
Find the centroid of the region bounded by the given curves. Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
After 20+ years of working for other firms, three professionals are considering combining forces and establishing their own practice.
What type of solutions do the methods for solving systems of equations find?
The company holds 300 batteries in raw material inventory at the plant as a buffer. What is the total number of batteries in the plant on average?
evaluate the area of under one arch of a cycloid using its integration.find the area under one arch of a cycloid
The pressure in domestic water pipes is typically 70 psi above atmospheric. If viscous effects are neglected, determine the height reached by a jet of water through a small hole in the top of the pipe.
properties of triangles -sine rule.a weather balloon b lies directly over a 1000-meter airstrip extending from a to c.
Formulate and prove a version of the division algorithm for integers allowing negative remainders. Will you be able to preserve uniqueness of the quotient and remainder?
About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?
Write and solve an inequality to find the sales Mrs. Jones needs if she earns a monthly salary of $2000 plus a 10% commission on her sales. Her goal is to make at least $4000 per month. What sales does she need to meet her goal?
A certain model of remote-control Stanley garage door opener has six binary (off/on) switches. The homeowner can set any code sequence.
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