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A manufacturer has to ship 150 washing machines to a neighboring town. Upon inquiring he found that two types of trucks are available. One type will carry 18 machines and the other will carry only 13. The cost of transporting a large truckload is $35 and the cost of for a small truckload is $25. What is the most economical way to ship the machines?
Explain Description of Isomorphism, We are working on the proof of showing G (the group of rigid motions of a regular dodecahedron) is isomorphic to the alternating group A_5.
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Find the firing angle in degrees of a projectile fired at an initial velocity of 100 feet per second so that it strikes the ground 312.5 feet from the firing point.
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
Probability distribution of a random variable Let x determine a random variable, and user your knowledge of probability to prepare a probability distribution.
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
Find the difference in the average number of people
In 2006, Jenny began selling magazines. The company sold Jenny a beginning packet for $250.00. Jenny's cost for each magazine is 10% of the sales price.
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
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