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The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 2.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 11.5 centimeters and the area is 86 square centimeters?
Trigonometric identities to find length of the guy wire.
If you are given the percentage of people that have a certain characteristic and the size of the sample . How can you find the distribution of the sample proportion?
performs the study for this product, the results predict the market will be good. Given the results of the study, what is the probability that the market will be good?
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?
Given the quadratic equation y = 5x2-3x+7 .What is the ordered pair that defines the y-intercept?
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
a ball is thrown vertically upward with an initial velocity of 53 feet per second. in the first 1.5 seconds, it travels 42 feet.
Apply normal distribution methods to approximate this binomial distribution.
a company owns 400 laptops.each laptop has an 8% probability of not working. you randomly select 20 laptops for your salespeople. a. what is the likelihood that 5 will be broken? b. what is the likelihood that they will all work? c. what is the li..
In furnishing their new office space, a company allows each employee to select a desk, a chair and a bookcase or file cabinet based on personal preference. There are two desk models, 3 different chairs, 2 styles of file cabinet and 4 bookcase styl..
A students calculate the density of an element to be 7.78 g/cm3. The density listed on the periodic table is 7.13 g/cm3. Calculate the percent error and identify the element.
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