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
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Reduce the fraction.-
A. -
B.
C. -
D.
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)
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°
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