Solve. Write your answer in simplest form.The probability of drawing a face card from a standard deck of 52 cards is . The probability of drawing a diamond is . Which card has a higher probability of being drawn, a diamond or a face card? Explain.

A. A diamond, because  is greater than .
B. A face card, because  is greater than .


Answer: A

Mathematics

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Reduce the fraction.- 

A. -  
B.
C. -  
D.  

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x - 3)2 - 25(y + 4)2 = 25

A. center at (3, -4)
transverse axis is parallel to y-axis
vertices at (3, -9) and (3, 1),
foci at (3, -4 - ) and (3, -4 + ),
asymptotes of y - 4 = - 5(x + 3) and y - 4 = 5(x + 3)
B. center at (-4, 3)
transverse axis is parallel to x-axis
vertices at (-9, 3) and (1, 3)
foci at (-4 - , 3) and (-4 + , 3)
asymptotes of y - 3 = - (x + 4) and y - 3 = (x + 4)
C. center at (3, -4)
transverse axis is parallel to x-axis
vertices at (-2, -4) and (8, -4)
foci at (3 - , -4) and (3 + , -4)
asymptotes of y + 4 = - (x - 3) and y + 4 = (x - 3)
D. center at (3, -4)
transverse axis is parallel to x-axis
vertices at (2, -4) and (4, -4)
foci at (3 - , -4) and (3 + , -4)
asymptotes of y + 4 = - 5(x - 3) and y + 4 = 5(x - 3)

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.2 + 2i

A.  cis 20°,  cis 140°,  cis 260°
B.  cis 20°,  cis 140°,  cis 260°
C.  cis 30°,  cis 150°,  cis 270°
D.  cis 20°,  cis 140°,  cis 260°

Mathematics

For the quadratic equation, identify a, b, and c for use in the quadratic formula. Do not solve.-x2 = -4 + 2x

A. a = -1, b = 2, c = -4 B. a = -1, b = -2, c = 4 C. a = 1, b = -2, c = -4 D. a = 0, b = 2, c = 4

Mathematics