Find the probability. Round to the nearest ten-thousandth when necessary.A coin is biased to show 45% heads and 55% tails. The coin is tossed twice. What is the probability that the coin turns up heads once and tails once?

A. 0.45
B. 0.495
C. 0.55
D. 0.2475


Answer: B

Mathematics

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Which phrase best captures the characterization of the rational number symbol 2/3 in the following situation: "There are two hamburgers left and three people wish to share them equally, so each person gets 2/3 of a hamburger."

a. Part-whole b. Measure c. Operator d. Quotient

Mathematics

Determine the center, foci, and vertices of the ellipse. +  = 1

A. center at (2, -3)
foci at (2 + , -3), (2 - , -3)
vertices at (-9, 2), (3, 2)
B. center at (-3, 2)
foci at (-3 + , -3), (-3 - , -3)
vertices at (6, 2), (-6, 2)
C. center at (-3, 2)
foci at (- , 2), (, 2)
vertices at (6, 2), (-6, 2)
D. center at (-3, 2)
foci at (-3 + , 2), (-3 - , 2)
vertices at (-9, 2), (3, 2)

Mathematics

Factor the special product.121k2 - 9m2

A. (11k - 3m)2 B. (11k + 3m)2 C. (11k + 3m)(11k - 3m)  D. (121k + m)(k - 9m) 

Mathematics

Find the value of the unknown coordinate so that the distance between the points is as given.(1.5, 2) and (0, y); distance is 2.5

A. y = 0, y = -0.5 B. y = -0.5, y = 4.5 C. y = 0, y = 3.5 D. y = 0, y = 4

Mathematics