If two dice are rolled, what is the probability that the sum of the dots on the upward faces is greater than 4?
A) 5/18
B) 13/18
C) 5/6
D) 7/12
E) 1/3
C) 5/6
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 2) and (0, -2); foci at (0, 3) and (0, -3)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Find the real solutions of the equation.
= -1
A. {-2} B. {-1} C. {2} D. {1}
Find the perimeter. Use 3.14 for ? when needed.
A. 90 cm B. 50 cm C. 410 cm D. 70 cm
Solve the linear programming problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week. Eric can sell more basic models than deluxe models, so he wants the number of basic models produced to be 50% more than the number of deluxe models produced. If he makes $50 profit on the basic models and $65 profit on the deluxe models, how many should he make to maximize the profit? What is the maximum profit?
What will be an ideal response?