FOCA Review

sampling

Probability

Midpoint § Distance

trig

pythagorean theorem

100

An airline company wants to survey its passengers for customer satisfaction. They randomly select 6 flights and survey each passenger. What kind of sample is this?

A. Stratified

B. Cluster random sample

C. Simple random sample

D. None of the above^

B.Cluster random sample

100

Suppose you have a six sided die, what is the probability of rolling an even number?

A. 2/4

B. 3/6

C. 1/4

D. 1/2

100

Find the midpoint of BD if B is (-8, 4) and D is (6, 2)

(-1, -1)

100

suppose a lighthouse operator can see a sailboat using a telescope through a window. The angle of depression is 3 degrees, if the top of the boat is known to be 20m away find the distance between the boat and lighthouse

x = 1.05

100

John is leaving school to go to a party. He walks 6 blocks north and 8 blocks west. How far is John from the school?

8^2 + 6^2 = 64 + 36

C = square root of 100

C = 10

200

An ice cream shop surveys it’s employees for effectiveness by grouping the managers and cashiers separately to question them. what kind of sample is this?

A. Stratified random

B. Simple random

C. Cluster

D. None of the above

A. Stratified random

200

Suppose you have a six sided die, what is the probability of rolling an odd number?

A. 3/6

B. 1/2

C. 3/4

D. 1/4

B. 1/2

200

M is the midpoint of AB, what is the coordinate B if A is (3, 7) and the midpoint is (5, 10)

A. 2, 10

B. 3, 6

C. 7, 13

D. 6, 12

C. 7, 13

200

the angle of elevation from the sun to a building is 38 degrees and it casts a shadow that is 21m long. How high is the building?

(tan38/1) = (x/21)

21tan38 = x

x = 16.4

200

the foot of a ladder is placed 24 inches from a wall and the top of the ladder rests 45 inches up the wall. How tall is the ladder

25²+ 45²= x²

576+2025 = x²

2601 = x

square root of 2601 = x

x = 51

300

Sara wants to see how many of her friends like cats better than dogs so she surveys her math class first thing in the morning. What kind of sample is this?

A. Cluster

B. Simple Random

C. Convenience

D. Stratified

C. Convenience

300

Tickets 1 - 20 are put in a hat and mixed up before being picked at random, what is the probability of drawing a ticket that’s a multiple of 3 or 5

A. 1/2

B. 8/15

C. 2/5

D. 9/20

S = {1,2,3,4...20?} {3,6,9,12,15,18,20}

P(E) = N(E)/N(S) = 9/20

300

Find the distance of AC if A is (3, -7) and C is (0, 3)

10.44

300

The angle of elevation of a plane is 73 degrees, if the plane’s altitude is 2500m in the air how far away is it?

976.82

300

Adrian biked 5 miles east to the train station from his home. The train took him 10 miles north. How far is Adrian from his home?

11.18

400

Suppose you have a 6 sided die and a 5 part spinner with the colors blue, red, green, purple, and yellow

Find P (2n ~ red)

A. .30

B. .20

C. .10

D. .13

(1/6) • (4/5) = 2/15 = .13

400

Find the distance between (-1, 4) & (-3, -4)

8.25

400

Cleaners are cleaning the windows at casino live, to reach the windows a large ladder is propped up against the building. The ladder makes a 60 degree angle towards the building. How far up the wall does the ladder reach?

5.20m

500

Suppose you have a 6 sided die and a 5 part spinner with the colors blue, red, green, purple, and yellow. Which of these is true

A. P(Oddnred) = .1

B. P(Oddnred) = .3

C. P(Oddnred) = .45

D. P(Oddnred) = .01

A. P(Oddnred) = .1

500

How far from the wall is the base of the ladder? 60 degrees hypotenuse 6m