Please help ASAP If U = {all teachers), M = {mathematics teachers) and W = {teachers who are women), show on a Venn diagram the set of all mathematics teachers who are men.

See the diagram below

Specifically, refer to figure 4.

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The set U is the universal set. It represents every teacher. Let's draw this as a rectangle. Divide the rectangle so that one portion represents female teachers, and the other represents male teachers. I'll use a vertical line to divide the universal set.

Now draw a circle such that one portion of the circle is in the "male teacher" region and the other portion of the circle is in the "female teacher" region. Lastly, shade the region inside the circle that is also in the male teacher region. The diagram below shows the step by step process.

Figure 1 is the rectangle representing the universal set, which in this case is the set of all teachers.

Figure 2 splits up set U into female teachers on the left and male teachers on the right.

Figure 3 adds a circle, set M, to represent all math teachers. This circle spans the male and female teacher regions, since we can have either male or female math teachers.

Figure 4 adds labels A,B,C,D such that

There are no gaps or overlaps between any of the A,B,C,D regions. We consider these regions to be mutually exclusive. If a person is in region B for instance, then they cannot be in any other region. This is assuming no person teaches more than one subject. Note how regions A,B,C,D completely fill the set U, and do so without any gaps or overlaps. So we can say that set U is partitioned into those four regions.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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the probability is 0