The universal set in this diagram is the set of integers from 1 to 15. place the integers in the correct place in the venn diagram.

Venn diagram is attached below.

Step-by-step explanation:

Given numbers are 5, 9, 12, 13, 14, 15.

We have three circles:- A. Factors of 15, B. Odd Integers, C. Multiples of 3.

Let's classify the elements in their respective circles.

A. Factors of 15: {5, 15}

B. Odd Integers: {5, 9, 13, 15}

C. Multiples of 3: {9, 12, 15}

So we have the followings:-

A∩B = {5, 15}

B∩C = {9, 15}

A∩C = {15}

where A∩B∩C = {15}, and (A ∪ B U C)' = {14}

Also 13 belongs to only B, and 12 belongs to only C.

Venn diagram is attached below.

Hope this helps yall :)

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

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step-by-step explanation: