A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 5 and let F denote the event that the sum of the numbers falling uppermost is 11. Determine whether E and F are independent events. Answer dependent or independent.
What will be an ideal response?
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The population N, in thousands, of a certain city t years after 2000 is given by 
.
The formula is valid over a 10-year period. Over what period was the population decreasing? A graph of N versus t can help you answer this question.
A. From 2003 to 2010 B. From 2004 to 2010 C. From 2000 to 2003 D. From 2000 to 2004
Rewrite the equation in standard form. Find the center and radius of the circle.x2 + y2 - 10x - 12y + 52 = 0
A. (x - 6)2 + (y - 5)2 = 9 center (6, 5), r = 3 B. (x - 5)2 + (y - 6)2 = 9 center (5, 6), r = 9 C. (x - 5)2 + (y - 6)2 = 9 center (5, 6), r = 3 D. (x + 5)2 + (y + 6)2 = 9 center (-5, -6), r = 3
Factor by grouping.2a3 - 2a2 + 14a - 14
A. 2(a + 1)(a2 - 7) B. 2(a - 1)(a2 + 7) C. (2a - 1)(a2 + 7) D. 2(a2 - 1)(a + 7)
The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring.How many of each type of ring should be made daily in order to maximize the company's profit, if the profit on a VIP ring is $50 and the profit on an SST ring is $10?
A. 24 VIP and 0 SST B. 24 VIP and 4 SST C. 20 VIP and 4 SST D. 20 VIP and 0 SST