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A poster is to have an area of 230 in2 with 3 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
A rectangular garden plot has dimensions of 15 ft. by 12 ft. A uniform path around the garden increases the total area to 270 sq. ft. What is the width of the larger rectangle?
A jeweler has three small solid spheres made of silver, of radius 3 mm, 5 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Determine what the Singleton bound, the sphere-packing bound and the Varshamor-Gilbert bound say about the maximum number of information bits that codewords with ten check bits can have if the codewords are protected from 3 or fewer errors.
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
Bonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
Ted Williams and Rogers Hornsby were two great hitters. Together they got 5584 hits in their careers. Hornsby got 276 more hits than Williams. How many base hits did each get?
The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
Let A be a symmetric and positive definite (SPD) matrix. Is A^-1 ( inverse of matrix A) a SPD matrix? If so, prove it. If not, explain and give an example.
353 people attend a play at a private club. Members get tickets at $2.75, while non-members have to pay $6.50. If the total gate for the playcame to $1762, how many members and non-members came to the play?
The percent concentration of a drug in the bloodstream x hours after administered is given by k(t)=t/(t^2+9). On what time interval is the concentration of the drug increasing?
an architect has allocated a rectangular space of 429 sq ft for a square dining room and a 20 ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space
Explain the difference between explicit and implicit schemes for numerically solving systems of equations. Which type of scheme is more computationally expensive? when would you use each of them?
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