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Seventy five percent of the students grading from high school in a small farm town attend college. The towns Chamber of Commerce randomly slecets 30 recent graduates and determines whether or not they will attend college.
To four decimel places, find the probablity that at least 80% of the surveyed students will be attending college. (use the form 0.XXXX for the answer)
Find the probablity that at most 70% of the surveyed students will be attending college. (Use the 0.XXXX form for the answer)
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Graph y=sinx + cosx restricted to 0
Suppose a retiree wants to buy an ordinary annuity that pays her $2,000 per month for 20 years. If the annuity earns interest at 3.5% interest compounded monthly, what is the present value of this annuity?
John has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c?
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
The Mico soft drink company makes two kinds of beverages: regular and diet. Their limited resources are the time it takes to make the drinks (8 hours = 480 minutes per day) and syrup (as an ingredient) limited to 675 gallons per day.
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
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