Solve using a proportion. Round your answer to the nearest hundredth when necessary.In a random sampling from a survey concerning music listening habits, 110 out of 150 at-home mothers preferred country to punk rock. Taking all the data from the survey, 264 at-home mothers expressed a preference for country over punk rock. How many at-home mothers would you estimate took part in the survey?

A. 350 mothers
B. 355 mothers
C. 369 mothers
D. 360 mothers


Answer: D

Mathematics

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Find the values of x for which the given function is concave up, the values of x for which the function is concave down, and any points of inflection.y = 7x - x3 

A. Concave up for x < 0, and x > 1, concave down for 0 < x < 1, points of inflection at (0, 0), (1, 7) B. Concave up for x < 0, concave down for x > 0, point of inflection at (0, 0) C. Concave down for all x, no points of inflection D. Concave down for x < 0, concave up for x > 0, point of inflection at (0, 0)

Mathematics

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.sin 27°

A. 0.96 B. 0.90 C. 0.45 D. 0.51

Mathematics

Solve the equation.97x + 3 = 27

A.
B.
C.
D.

Mathematics

Solve.Aaron purchased a house for $174,925. Of the $174,925, he spent $34,985 upgrading the original design of the house. The upgrade cost 20% of what he spent for the house. Find the number of degrees on a circle that represent the cost of the upgrade.

A. 36° B. 73° C. 72° D. 90°

Mathematics