OG Test 2 - Passage III

Questions 29-32 are based on the following passage.

Use the following information to answer questions 29-32.
Parallelogram ABCD is graphed in the standard (x,y) coordinate plane below. Sides $\overline{AB}$ and $\overline{CD}$ are each $\sqrt{10}$ coordinate units long. Sides $\overline{AD}$ and $\overline{BC}$ are each 5 coordinate units long. The distance between $\overline{AD}$ and $\overline{BC}$ is 3 coordinate units.

Question 29

What is the area, in square coordinate units, of ABCD?

• A 5

• B 7.5

• C 10

• D 15

• E 20

Question 30

What is the distance, in coordinate units, from B to D ?

• F 3

• G 4

• H 5

• J 7

• 8

Question 31

What is the slope of $\overleftrightarrow{BC}$ ?

• A 0

• B 1

• C 4

• D 5

• E Undefined

Question 32

Parallelogram ABCD will be reflected over the y-axis. What will be the coordinates of the image of A ?

• F (-4, 1)

• G (-1,-1)

• H ( 1,-1)

• J ( 1,1)

• ( 4,-1)

Questions 38-40 are based on the following passage.

The Harrisburg Recreation Center recently changed its hours to open 1 hour later and close 3 hours later than it had previously. Residents of Harrisburg age 16 or older were given a survey, and 560 residents replied. The survey asked each resident his or her student status (high school, college, or nonstudent) and what he or she thought about the change in hours (approve, disapprove, or no opinion). The results are summarized in the table below.

Question 38

What fraction of these nonstudent residents replied that they disapproved of the change in hours?

• F $\frac{1}{3}$

• G $\frac{4}{45}$

• H $\frac{14}{75}$

• J $\frac{353}{367}$

• $\frac{353}{485}$

Question 39

Suppose a person will be chosen at random from these 560 residents. Which of the following values is closest to the probability that the person chosen will NOT be a high school student and will NOT have replied with no opinion?

• A 0.06

• B 0.09

• C 0.44

• D 0.83

• E 0.98

Question 40

After constructing the table, it was discovered that the student status of 15 residents who replied that they approved had been incorrectly classified as nonstudents. After correcting the errors, exactly 60% of the college students had replied that they approved. To the nearest 1 %, what percent of high school students replied that they approved?

• F 60%

• G 67%

• H 70%

• J 75%

• 82%