The probability that a battery will last 14 hr or more is .50, and the probability that it will last 25 hr or more is .12. Given that a battery has lasted 14 hr, find the probability that it will last 25 hr or more.

a. 0.26
b. 0.295
c. 0.315
d. 0.24


d. 0.24

Mathematics

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Evaluate the improper integral or state that it is divergent.

A. Divergent B. 1.569 C. -1.569 D. 0.193

Mathematics

Evaluate the integral.

A. 288 B. - 576 C. - 1728 D. 1728

Mathematics

Find the center, foci, and vertices of the ellipse.3x2 + 4y2 - 42x + 56y + 331 = 0

A.  +  = 1
center: (7, -7); foci: (8, -7), (6, -7); vertices: (9, -7), (5, -7)
B.  +  = 1
center: (-7, 7); foci: (-6, 7), (-8, 7); vertices: (-9, 7), (-5, 7)
C.  +  = 1
center: (7, -7); foci: (8, -7), (6, -7); vertices: (9, -7), (5, -7)
D.  +  = 1
center: (-7, 7); foci: (-6, 7), (-8, 7); vertices: (-9, 7), (-5, 7)

Mathematics

Use the method of natural frequencies to find the indicated probability.A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. It buys 23% of the connectors from supplier A, 34% from supplier B, and 43% from supplier C.It finds that 2% of the connectors from supplier A are defective, 3% of the connectors from supplier B are defective, and 5% of the connectors from supplier C are defective. If a customer buys one of these components and finds that the connector is defective, what is the probability that it came from supplier B?

A. 0.127 B. 0.391 C. 0.03 D. 0.281

Mathematics