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Johnny is designing a rectangular to contain 20 in2 of printing with 5-in margin at the top and bottom and a 4-in margin at each side. What overall dimensions will minimize the amount of paper used?
Probability question. A doctor's office has 4 examination rooms. At any given time, each room can either be occupied or empty. How many configurations of occupied and empty examination rooms are possible?
If you had to rank the eight key elements of power from most important to least, what would your list look like? In your response, be sure to explain why you thought some of the components of power were more important than the others and be sure to g..
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
The Voyager 1 spacecraft launched in 1977 by NASA as reached the edge of the solar system. Traveling at the speed of light, 300,000 km/sec, it takes approximately 13 hours for the signal transmitted by the spacecraft to reach the Earth. How far is..
Find the volume V of water in the bowl. (Consider two cases: one in which the ball is not completely submerged and the other in which it is.)
The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460 to drive 800 mi.
A rancher has 30,000 linear feet of fencing and wants to enclose a rectangular field and then divide into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
Let h be a differentiable function defined on the interval [0,3], and assume that h(0)=1 h(1)=2 and h(3)=2. a- argue that there exists a point d belong to [0,3] where h(d)=d.
Suppose the ages of students in Statistics 101 follow a skewed-right distribution with a mean of 23 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution o..
The initial contact person calls three other people, each of whome call three others and so on, until all the people in the band Committee have been contacted. What is the maximum number of people they need to make the calls.
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
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