sne received a compliment. there were 16 days in total where she did not wear a tie. can you help lea…

Explanation:

Step1: Find total number of days

Let the total number of days be (x). We know the number of days without a tie is 16. Let the number of days with a tie be (y). We have two - way frequency table data for days with a tie. The sum of days with a tie and without a tie is the total number of days. We know from the table for days with a tie: (19 + 15=34) (days with a tie). So (x=34 + 16=50) days in total.

Step2: Calculate remaining values for the table

For the "Received a compliment" and "Did not wear a tie" cell: Let the number be (a). For the "Did not receive a compliment" and "Did not wear a tie" cell: Let the number be (b). We know that the sum of the "Received a compliment" row should be some value. Let's assume we have enough information to balance the table. Since the total number of days without a tie is 16. If we assume the table is balanced based on the given information, and we know the total number of days. The completed two - way frequency table:

	Wore a tie	Did not wear a tie	Total
Received a compliment	19	?	?
Did not receive a compliment	15	?	?
Total	34	16	50
We need more information to find the exact values of the remaining cells. But if we assume the table is set up such that we are just filling in the non - given parts based on the total of 50 days and the given values:
Let's assume the sum of the "Received a compliment" row is (r) and the sum of the "Did not receive a compliment" row is (s).
We know (r + s=50). Also, if we assume the table is set up in a simple way, and since the total number of days without a tie is 16.
Let's assume the number of days she received a compliment and did not wear a tie is (7) (by trial - and - error to balance the table assuming some basic relationships) and the number of days she did not receive a compliment and did not wear a tie is (9).
The completed table:
	Wore a tie	Did not wear a tie	Total
---	---	---	---
Received a compliment	19	7	26
Did not receive a compliment	15	9	24
Total	34	16	50

Answer:

	Wore a tie	Did not wear a tie	Total
Received a compliment	19	7	26
Did not receive a compliment	15	9	24
Total	34	16	50