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1.) How many permutations can be formed from all of the letters of the word HOUSTON?
2.) A fair coin is flipped 10 times and the sequence of heads and tails is noted. In how many outcomes are there at least 2 tails?
3.) A coin is tossed 24 times. In how many outcomes do exactly 18 heads occur? In how many outcomes are at least 4 tails occur?
4.) An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. Eight calculators are chosen at random to be sent to a local high school. How many total selections can be made? How many selections contain 3 defective?
5.) If seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do 2 diamonds occur?
Prove that G has a non-trivial centre (hint: use the class equation)
At a certain moment, the angle between the observer's line of sight and the horizontal is π/5, and it is changing at a rate of 0.5 rad/h. How fast is the balloon rising at this moment?
A rancher has 360 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should be used to maximize the enclosed area?
Determine which coin is the counterfeit coin in as few weightings as possible. Does your method also allow you to state whether the counterfeit coin is heavy or light?
Evaluate the maximum height of the firework from the given function - Evaluate the maximum height of the firework.
In a traditional sense an organization's culture consists of the values, beliefs, attitudes and behaviors that employeesshare and use on a daily basis
Compute the Taylor polynomial indicated. f(x) = -1/2, a = 4 T3(x) = Use the error bound to find the maximum possible size of the error.
Construct the consumption matrix for this economy, and determine what intermediate demands are Determine the production levels needed to satisfy a final demand of 20 units for agriculture, with no final demand for the other sectors. (Do not comput..
Section 2.5:If an individual's daily intake of fiber is 250 grams then how many grams is 75% of an individual's daily intake of fiber?
the daytime maximum temp of a city is 33 degrees C. At night the temp became 26 degrees c. what is the rise in temperature from daytime to night time?
Miranda's finanical aid stipulates that her tuition not exceed $1500. If her college charges a $45 registration fee plus $275 per course, what is the greatest number of courses for which Miranda can register?
If I flip a coin 1,000,000 times, what are the odds of it beings heads AND tails 500,000 times?
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