Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a survey of 750 school employees yielded the following information: 400…

Question

a survey of 750 school employees yielded the following information: 400 were instructors, 568 were full - time faculty, and 246 of the instructors were full - time faculty. step 1 of 2: choose the correct venn diagram to illustrate this survey.

Explanation:

Step1: Analyze number of only - instructors

Instructors are 400, 246 are full - time faculty among instructors. So only instructors are $400 - 246=154$.

Step2: Analyze number of only - full - time faculty

Full - time faculty are 568, 246 are instructors among them. So only full - time faculty are $568 - 246 = 322$.

Step3: Check Venn - diagram values

The Venn - diagram with 154 in only instructors part, 246 in intersection and 322 in only full - time faculty part is correct.

Answer:

The Venn - diagram with 154 in the "Instructors" non - overlapping part, 246 in the intersection, and 322 in the "Full - Time Faculty" non - overlapping part.