Use a proportion to solve the problem.In a random sampling from a survey concerning music listening habits, 130 out of 160 at-home mothers preferred easy listening to heavy metal. Taking all the data from the survey, 338 at-home mothers expressed a preference for easy listening over heavy metal. How many at-home mothers would you estimate took part in the survey?

A. 425 mothers
B. 416 mothers
C. 406 mothers
D. 411 mothers


Answer: B

Mathematics

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Solve the problem.Find a field G = P(x, y)i + Q(x, y)j in the xy-plane with the property that at any point (a, b) ? (0, 0), G is a vector of magnitude tangent to the circle x2 + y2 = a2 + b2 and pointing in the clockwise direction.

A. -yi + xj B. xi - yj C. xi + yj D. yi - xj

Mathematics

An observer for a radar station is located at the origin of a coordinate system. For the point given, find the bearing of an airplane located at that point. Express the bearing using both methods.(-8, -8)

A. 225°; S 45° E B. 225°; S 45° W C. 315°; N 45° W D. 315°; N 45° E

Mathematics

Find the requested value of the variable.y varies directly as z2. If y = 27 when z = 3, find y when z = 8.

A. y = 192 B. y = 24 C. y = 9 D. y = 72

Mathematics

Use mathematical induction to prove the statement is true for all positive integers n.The integer n3 + 2n is divisible by 3 for every positive integer n.

What will be an ideal response?

Mathematics