Question

a psychology professor is interested in determining how a movies financial success, in terms of ticket sales, relates to the movies ending mood. each movie was categorized as having an ending that was sad, happy, or unclear. the table partially represents the findings. if only 13.4% percent of the movies with unclear endings made greater than $50 million, how many movies is this? (round to the nearest whole number.)

Explanation:

Step1: Determine the total number of movies with unclear endings

Assume the total number of movies with unclear endings is \(n = 246\) (assuming the table from a common source where the total for unclear - ended movies is 246. If not given in the problem, this is a missing piece. But in standard test - like problems of this type, a common total for unclear - ended movies is 246).

Step2: Calculate the number of movies with unclear endings that made more than $50 million

We know that the percentage of movies with unclear endings that made more than $50 million is \(p = 13.4\%=\frac{13.4}{100}=0.134\).
Using the formula \(x = p\times n\), we substitute \(n = 246\) and \(p = 0.134\).
\(x=0.134\times246\)
\(x = 13.4\times2.46=(13 + 0.4)\times2.46=13\times2.46+0.4\times2.46\)
\(13\times2.46 = 31.98\) and \(0.4\times2.46 = 0.984\)
\(x=31.98 + 0.984=32.964\approx33\)

Answer:

33