Select the correct answer.
three museums charge an entrance fee based on the number of visitors in the group. the table lists the fees charged by the museums. at which museum is the entrance fee proportional to the number of visitors?

museum a museum b museum c
visitors fee ($) visitors fee ($) visitors fee ($)
2 4 1 2 3 4
3 5 4 8 12 16
4 6 6 11 18 24
a.
museum a
b.
museum b
c.
museum c
d.
museum a and museum b

12. decide whether each statement is always true, sometimes true, or never true. a. when corresponding points of an original figure and its reflection are connected, the resulting segments are all perpendicular to the line of reflection. b. when a point is reflected over a horizontal line, the y-coordinate of the point stays the same. answer both questions and explain

Suppose a ball is dropped fromca height of 6ft. it bounces back up but time it bounces, it reaches only 7/10 of its pervious height. what is the total of each height that the ball reaches after 5 bounces

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)