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A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people?
You drop a coin down a wishing well of unknown depth h and hear a splash 4 seconds later. You know that the distance the coin covers t seconds after being dropped is 1/2 gt2, where g = 9.8 m/s2 is the acceleration due to gravity, and that the spee..
Composition of Functions and Isomorphisms, I can't prove the following statements about functions f:A->B and g:B->C, 1. If gof is one-to-one then so is f.
Explain Isomorphism of Two Groups, Let G = (Q, +) and let K = Z be the subgroup of integers
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
In order to purchase a home, a family borrows $267,000 at 10.8% for 15 yr. What is their monthly payment? Round the answer to the nearest cent.
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
A rectangular building lot measures 295 ft. by 438 ft. Find the number of acres in the lot.
The population of a community is known to increase at a rate proportional to the number of people present at time t
A manufacture has been selling 1300 television sets a week at 420 each. A market survey indicates that for each 16 rebate offered to a buyer, the number of sets sold will increase by 160 per week.
Let R be a principal ideal domain and a, b, in R, not both zero. Prove that a, b have a greatest common divisor that can be written as linear combination of a and b.
a television network has eight 60-minute time slots for dramas and has 15 shows to choose from for the fall lineup. How many different lineups are possible?
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
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