Determine whether the events are independent.A bag contains 8 red and 8 green marbles. A marble is drawn, replaced in the bag, then a second marble is drawn. Are the events "first marble is red" and "second marble is green" independent events?

A. No
B. Yes


Answer: B

Mathematics

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Determine the number of real-number solutions of the equation from the given graph.5x2 + 3x + 6 = 0, given the graph of y = 5x2 + 3x + 6

A. 3 B. 0 C. 2 D. 1

Mathematics

Provide an appropriate response. Find the area of a triangular garden plot if two sides measure 14 ft and 18 ft and the included angle measures 52°.

A. 49.64 ft2  B. 77.57 ft2  C. 198.6 ft2 D. 99.29 ft2

Mathematics

Use identities to find the indicated value for each angle measure.cos 2? =  and ? terminates in quadrant IIIFind cos ?.

A. cos ? = - 
B. cos ? = - 
C. cos ? = 0
D. cos ? = 

Mathematics

Find the missing parts of the triangle. A = 10.5°a = 149 ftb = 176 ftIf necessary, round angles to the nearest tenth and side lengths to the nearest foot.

A. B = 12.4°, C = 157.1°, c = 318 ft B. B1 = 12.4°, C1 = 157.1°, c1 = 318 ft B2 = 167.6°, C2 = 1.9°, c2 = 27 ft C. B1 = 157.1°, C1 = 12.4°, c1 = 318 ft B2 = 1.9°, C2 = 167.6°, c2 = 27 ft D. no such triangle

Mathematics