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A recreational club has 12 members.
a. In how many ways can the club choose 6 members to form a volleyball team? Show work.
b. 5 of the club members are men and 7 are women. In how many ways can the club choose 6 members to form the volleyball team, if 2 team members must be men and 4 team members must be women? Show work
c. If a 6-person volleyball team is selected at random from the 12 club members, what is the probability the team consists of 2 men and 4 women? Show work.
A consulting engineer's time is billed at $30 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $715 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on th..
A line that is perpendicular to a segment at its midpoint is called the perpendicular bisector of the segment. Find the equation of the perpendicular bisector of, if the coordinates are: A(5, -12) and B(3, -6) Show all steps.
Find a polar equation for the curve represented by the given Cartesian equation.
there are 870 students taking College Algebra or Calculus. 385 are taking College Algebra, 537 are taking Calculus, and 52 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus?
A 118 foot line is attached to a kite. When the kite has pulled the line taut,the angle of elevation to the kite is approximately 42 degrees. Approximate the height of the kite.
Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Single women. The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.
The rate of change of the frequency (f) of an electronic osillator with respect to the inductance (L) is df/dL = 80(4 + L)^-3/2, find (f) as a function of (L) if (f) = 80 Hz for L = 0H.
Probability Concepts and the Standard Normal Distribution, What are some conditions under which business decisions are made using probability concepts? Provide at least two examples of subjective probability.
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
a paper cup is to be constructed in the shape of a right circular cone. if the volume desired is 36pie in^3, find the dimensions that require the least amount of paper. (disregard any waste that may occur in construction).
quarter in a fixed-interest mutual fund paying annual interest of 7% compounded quarterly. How much will her account have in it at the end of 12 years
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