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Question: 1. How many ways are there to arrange 5 monster figurines and 12 angel figurines in a line on a shelf?
2. How many ways are there to distribute three chocolates (one white, one milk, and one dark) to four classmates, at most one chocolate per classmate?
3. How many ways are there to put a star sticker (they come in gold, silver, red, green, and blue) on every student's paper in your class?
4. How many ways are there to give two different catnip toys to five cats, such that no cat gets more than one toy?
Determine which of the matrices in are invertible.
Calculate the Taylor polynomials T2 (X) and T3 (X) centered at x = 2 for f(x) = ln(x + 1). Find the formula for a function of the form y = A sin(Bx) + C with a maximum at (4, 3), a minimum at (12, -7).
suppose you have developed a scale that indicates the brightness of the sun. each category in the table is 5 times
You are designing a rectangular poster to contain 48 in^2 of printing with a 3-in. margin at the top and bottom and a 1-in. margin at each side. What overall dimensions will minimize the amount of paper used?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
An expanding company is creating a model of the design for their new workspace. The workspace will be square, with a retangular section designated for a help desk. Determine what the square footage of the work space will be without the rectangular..
The following data show average growth of the human embryo prior to birth.Embryo age Weight.
Water is poured into a conical reservoir at a rate of pi cubic feet per second (about 3 ft/sec). The reservoir has a radius of 6 ft across the top and a height of 12 ft. At what rate is the level of the water inside the reservoir increasing when th..
A group pf four students is performing an experiment with salt
Objective questions on regression
The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
A key in the Vigenère cryptosystem is a string of English letters, where the case of the letters does not matter. How many different keys for this cryptosystem are there with three, four, five, or six letters?
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