Free Printable EOC Review #4

1.

The table shows carbon dioxide concentration levels measured at Mauna Loa, Hawaii. Using the line of best fit for these data, which is the best estimation of the carbon dioxide levels, measured in parts per million, at Mauna Loa in 2010?

a)

362

b)

381

c)

385

d)

389

2.

This table displays the results of an experiment on exponential growth. Based on these results, what is the closest to the value of y when x=-2?

a)

-23

b)

0.04

c)

2.34

d)

19

3.

What is the solution to the equation 10^3x=35, to the nearest hundredth?

a)

2.1

b)

4.3

c)

1.5

d)

.51

4.

The population P of Johnstown over a period of t years since the town was founded can be estimated by p=5600e^0.059t. In approximately how many years after the town's founding will the population reach 11,200?

a)

34

b)

17

c)

12

d)

5

5.

What is the value of t to the nearest hundredth, that makes the equation 4(10)^3t=12 true?

a)

0.47

b)

0.16

c)

0.27

d)

0.48

6.

The terminal side of angle $\theta$ forms a 30 degree angle with the positive x axis as shown. What is the radian measure of angle $\theta$ ?

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{5\pi}{3}$

d)

$\frac{11\pi}{6}$

7.

The ordered pairs listed are the coordinates of points on the terminal sides of angles in standard position in the coordinate plane. Which two ordered pairs give the same value for sin $θ$ ?

a)

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

b)

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

c)

$\left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$

d)

$\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

e)

$\left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

8.

Which graph best represents one cycle of f(x)=2cos(x)?

a)

b)

c)

d)

9.

The graph below shows the average monthly wind speeds in Kingsport over a two year period. A function describing this graph is a transformation of the parent sine function, y=sinx. Which value is closest to the amplitude of this transformed function?

a)

7.2

b)

5.6

c)

3.9

d)

1.7

10.

The figure below represents a tower with a height of 100 feet. It is secured to the ground d feet from the base by the tower by a wire that makes the angle $α$ with the ground. Which function can be used to find the distance between the base of the tower and the point at which the wire is attached to the ground

a)

$d=100\sin\alpha$

b)

$d=100\cos\alpha$

c)

$d=100\cot\alpha$

d)

$d=100\tan\alpha$

11.

Which expression is equivalent to cos150?

a)

cos30

b)

cos330

c)

cos(-30)

d)

cos(-210)

12.

Which expression is equivalent to tan390?

a)

cot(-30)

b)

tan(-30)

c)

tan30

d)

cot30

13.

$Given\ \frac{\pi}{2}<\theta<\pi,\ and\ \sin\theta=z,\ what\ is\ \cos\theta?$

a)

$-\sqrt{1+z^2}$

b)

$-\sqrt{1-z^2}$

c)

$\sqrt{1-z^2}$

d)

$\sqrt{1+z^2}$

14.

The daily high temperatures in degrees Fahrenheit in Chattanooga TN for two 1 week periods are listed below. What is the interquartile range for these data sets over two weeks?

a)

3 degrees

b)

5 degrees

c)

10 degrees

d)

13 degrees

15.

The graph shows average monthly precipitation data for Spokane, Washington, and Bakersfield, California. Which statement about the data shown is true?

a)

Spokane has a greater range of precipitation values than Bakersfield.

b)

Bakersfield receives its greatest amount of precipitation in December.

c)

Bakersfield has a greater annual average precipitation rate than Spokane

d)

Spokane receives its greatest amount of precipitation in January.

16.

In a large neighborhood, the values of the home are normally distributed with a mean of $102,000 and a standard deviation of $17,000. There is a 47.5% probability that the value of a randomly selected home in the neighborhood is greater than $102,000 and less than d dollars. Which is the closest value of d?

a)

$110,075

b)

$119,000

c)

$125,750

d)

$136,000

17.

The table and scatterplot below display the calories and water content percentages for a variety of fruits. What value is the best estimate for the correlation coefficient?

a)

-0.99

b)

-0.65

c)

0.65

d)

0.99

18.

A supermarket owner wants to know where in the supermarket he should locate he should locate the bread to locate the bread to maximize sales. He puts the bread in one location for two weeks, counts the loaves of bread sold, changes the location for two more weeks, and counts again. Which of these methods is the owner using?

a)

Experiment

b)

Observational study

c)

Sample Survey

d)

Two Stage Sampling

19.

A researcher wants to determine if the behavior of children is affected by playing video games that have violent content. He asks the parents of 100 children in a day care center how often each child plays video games and whether the video games they play have violent content. The children are then allowed to play in a controlled environment, such as the day care center's playground. Any violent behaviors are then noted. Which type of study is the researcher conducting?

a)

Census

b)

Experiment

c)

Observational Study

d)

Sample Survey

20.

A grocery store manager wants to determine how many servings of fresh fruit her adult customers eat per day. She randomly surveys adult customers in the produce aisle of her store about their eating habits. Which statement best explains why her survey could be biased?

a)

The sample does not include children

b)

The produce aisle contains more than just fresh fruit

c)

Adults who do not eat fresh fruit are less likely to shop in a local grocery store

d)

Adults who do not eat fresh fruit are less likely to be fount in the produce aisle

21.

Kylie has a collection of bows for her hair. She has two different sizes, small and large. All the bows are either solid or have a pattern. What is the probability that a randomly selected bow is large and has a pattern?

a)

.43

b)

.21

c)

.46

d)

.1

22.

A survey asked 410 students whether they would eat food served in the school cafeteria. The results are recorded in the table shown. What is the probability that a student will NOT eat food served in the school cafeteria, given that the student in the 10th grade?

a)

.43

b)

.11

c)

.20

d)

.19

23.

A group of people were surveyed and asked whether they think they will become famous someday. The results are summarized in the table. If a male from the survey is randomly selected, what is the probability he believes he will become famous?

a)

25%

b)

35%

c)

44%

d)

65%

24.

a)

$\frac{35}{38}$

b)

$\frac{56}{95}$

c)

$\frac{146}{95}$

d)

$\frac{95}{56}$

EOC Review #4

Total questions: 24

Worksheet time: 15mins

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