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A 297-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times as long as the second. How long is each piece of rope?
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (there should be a primary and a secondary equation)
Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
At a price of $1.94 per bushel, the supply of corn is 9800 million bushels and the demand is 9300 million bushels. At a price of $1.82 per bushel the supply is 9400 million bushels and the demand is 9500 million bushels.
Find the 95% confidence internal for the standard deviation
Let S and T be subsets of the universal set U. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each basic region.
Application of the Binomial Distribution to an Aircraft. Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft fa..
Calculating probabilities of a dice game. Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $9.00 if you succeed and you lose $2.00 if you fail.
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $288 in interest after 3 years. How much money should he deposit?
Write a system of 5 equations in standard form to represent this problem. Write the matrix equation in the form AX=B.
A heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 150 ft high.
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