Looking at the graph, first identify the points.

There are sixteen points: (2,1), (3,1), (3,2), (4,3), (5,5), (5,6), (6,4), (6, 7), (7,6), (7,7), (8,6), (8,7), (8,9), (9,9), (10,9), (12,9)

The line of best fit can be drawn on the image and it would have a positive slope.

It is seen that as the age of the children increases that the shoe size also increases.

Therefore there is a positive relationship between the child's age and shoe size.

To identify the missing information in the following statements use the pictograph.

I. If one student is selected at random from the 75, the chance that the student will be older than 17 or on the Varsity team, or both is __________.

To find the probability of choosing a student that is either older than 17, or on the Varsity team, or both can be written mathematically as follows.

To find the ratio divide the number found above by the total number of students.

In words this is 2 out of 3.

II. If one student is selected at random from the 75, the chance that the students is both younger than 17 and on the Varsity Soccer Team is __________.

In mathematical terms this is written as the following,

To find the ratio divide the number found above by the total number of students.

In words this is 1 out of 5.

To identify the missing information for the following statements use the graph.

I. The relationship between study time and test scores is __________.

Since the scatterplot shows no clear trend, the relationship between the study time and the test score is zero.

II. The slope of the regression line is __________ .

Since there is no relationship between the study time and the average test score, a regression line in non-applicable.

Looking at the graph, first identify the points.

There are sixteen points: (2,1), (3,1), (3,2), (4,3), (5,5), (5,6), (6,4), (6, 7), (7,6), (7,7), (8,6), (8,7), (8,9), (9,9), (10,9), (12,9)

The line of best fit can be drawn on the image and it would have a positive slope.

It is seen that as the age of the children increases that the shoe size also increases.

Therefore there is a positive relationship between the child's age and shoe size.

To identify the missing information in the following statements use the pictograph.

I. If one student is selected at random from the 75, the chance that the student will be older than 17 or on the Varsity team, or both is __________.

To find the probability of choosing a student that is either older than 17, or on the Varsity team, or both can be written mathematically as follows.

To find the ratio divide the number found above by the total number of students.

In words this is 2 out of 3.

II. If one student is selected at random from the 75, the chance that the students is both younger than 17 and on the Varsity Soccer Team is __________.

In mathematical terms this is written as the following,

To find the ratio divide the number found above by the total number of students.

In words this is 1 out of 5.

To identify the missing information for the following statements use the graph.

I. The relationship between study time and test scores is __________.

Since the scatterplot shows no clear trend, the relationship between the study time and the test score is zero.

II. The slope of the regression line is __________ .

Since there is no relationship between the study time and the average test score, a regression line in non-applicable.

To identify, 

I. The expression that represents the number of babies born in 2002.

Recall the given information in this particular question.

It is known that in 2002 there are 17,000 marriages and  represents . 

Using this information to create a mathematical expression is as follows.

Now to identify,

II. The expression of the number of babies born per married couple in 2009.

Use the formula given

This part of the problem is asking for a ratio, but the variables that are given are percents.

Therefore, the 100’s are there because M and B are percent quantities. They are both added because M is a negative number.

So the number in the numerator is the percentage of babies that exist in 2009 compared to 2002 (a number that will be less than 100). The denominator is the percentage of the 2002 marriages that exists in 2009 (a number greater than 100).

Thus the solution is,

Recall the criteria for this particular problem. 

Five musicians are scheduled to play each day. To feature the departments strengths, the majority of the musicians on one of the days will be composed of woodwind instruments (clarinets, flutes, saxophones, oboes, bassoons) and the other day will be primarily solo musicians.

Looking at day one it is clear that represents the woodwind day and day two represents the solo day.

Therefore, for someone to be able to play either day that student must play a woodwind instrument and be doing a solo. For a musician(s) to play neither day it must be a group that is composed of instruments other than woodwind.

Also recall that violins are string instruments, trumpets are brass instruments, and vocal is ones voice.

Keeping all of this in mind, the correct answer is, 

I. Susan (12th Grade, Flute Solo)

II. James & Jimmy (10th Grade, Vocal Duo)

To identify, 

I. The expression that represents the number of babies born in 2002.

Recall the given information in this particular question.

It is known that in 2002 there are 17,000 marriages and  represents . 

Using this information to create a mathematical expression is as follows.

Now to identify,

II. The expression of the number of babies born per married couple in 2009.

Use the formula given

This part of the problem is asking for a ratio, but the variables that are given are percents.

Therefore, the 100’s are there because M and B are percent quantities. They are both added because M is a negative number.

So the number in the numerator is the percentage of babies that exist in 2009 compared to 2002 (a number that will be less than 100). The denominator is the percentage of the 2002 marriages that exists in 2009 (a number greater than 100).

Thus the solution is,

Recall the criteria for this particular problem. 

Five musicians are scheduled to play each day. To feature the departments strengths, the majority of the musicians on one of the days will be composed of woodwind instruments (clarinets, flutes, saxophones, oboes, bassoons) and the other day will be primarily solo musicians.

Looking at day one it is clear that represents the woodwind day and day two represents the solo day.

Therefore, for someone to be able to play either day that student must play a woodwind instrument and be doing a solo. For a musician(s) to play neither day it must be a group that is composed of instruments other than woodwind.

Also recall that violins are string instruments, trumpets are brass instruments, and vocal is ones voice.

Keeping all of this in mind, the correct answer is, 

I. Susan (12th Grade, Flute Solo)

II. James & Jimmy (10th Grade, Vocal Duo)