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A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle. There are 650 feet of fencing available to complete the job. What is the largest possible total area of the five pens?
off with an initial velocity of u (at km/hr) and accelerates at a steady rate (a = km/hr2) for a time of t hours. Using the ‘area under the curve' method, derive and explain the equation to calculate the distance travelled: Distance travelled, s =..
Solving probability problems based on Binomial distribution
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected.
a drop of oil measuring .28 cubic cm is spilled onto a lake. the oil spreads into a circular shap with a diameter of 22cm. Approxamate the thickness of the film.
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
Given a unit line segment AB (2 cm) construct a segment of length (1+Sqrt[5])/2. Given the unit segment above and construct a segment of length Sqrt[2/3]
Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
The length of an object is 3 times with the following results. 6.145cm, 6.12cm, and 6.2 cm . If the acutal value of the length is 6.11 cm , find the percent error between the average meansurement and the acutal value. Show all work.
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
A rectangular box without a lid is to be made from( 12 m^2 ) of cardboard. Compute the maximum volume of such a box using a method of Lagrange Multipliers.
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