Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?

Complete question :

The table shows the total number of student applications to universities in a particular state over a period of 12 semesters. States base their decisions on data like this. Suppose they decide that if fewer than 200,000 students apply during 6 or more semesters, the state will make a special effort to promote university education. Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?

Semester Student Applications (in thousands)

1 106

2 137

3 285

4 120

5 202

6 195

7 327

8 139

9 307

10 318

11 212

12 217

42%

Step-by-step explanation:

Given the above data in thousand :

Proportion of students

1 - - - - 106, 000

2 - - - -137, 000

3 - - - - 285, 000

4 - - - 120, 000

5 - - - 202, 000

6 - - - 195, 000

7 - - - 327, 000

8 - - - 139, 000

9 - - - 307, 000

10 - - - 318, 000

11 - - -212, 000

12 - - - 217, 000

Therefore, proportion of semesters with student application below 200,000

= (Number of semesters below 200,000 / total number of semesters)

Semesters below 200,000 :

(106000, 137000, 120000, 195000, 139000) = 5

(5 / 12) = 0.416666

= 0.42

In terms of percentage :

0.42 * 100 = 42%

-3.396 = -3.4

-0.708 = -0.7

0.304 = 0.3

0.955 = 1

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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