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1. The minimum value of the sum of real numbers a-5 , a-4 , 3a-3 ,1 , a8 , a10 with a > 0 is .............
A rancher has 3,600 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?
What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
a rancher wants to use 300 feet of fencing to enclose a rectangular area of 4400 square feet. what dimensions should the rectangle have?
Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N
A ladder 14 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall.
Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars?
How many satellite radios of each model should be produced each day to maximize Soundex's profit? What is the maximum profit?
MINIMIZING PACKAGING COSTS If an open box has a square base and a volume of 108 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
Suppose you have a flexible fence of length L=130 meters. You want to use all of this fence to enclose a rectangular plot of land of at least 800 square meters in area. Which of these functions model the area of the plot if x is the width?
Cancer deaths: Suppose for a set of counties i ∈ {1,..., n} we have information on the population size. Identify the posterior distribution of θ given data (Y1,.X1),...., (Yn, Xn) and a gamma(a, b) prior distribution.
write a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros.
On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 11.The scores were normally distributed. Approximately how many of the students scored between 16 and 82.
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