probability and previous concepts!. question # 1 z y x 2 3 1 4 what is the sample space for all the...

Probabilityand

previous concepts!

Question # 1

ZY

X 2

3

1

4

What is the sample space for all the possible outcomes if each spinner is spun once?

X1 Y1 Z1

X2 Y2 Z2

X3 Y3 Z3

X4 Y4 Z4

Question # 2

Tina has 3 quarters, 2 dimes, 1 nickels, and 1 penny in her pocket. Which list shows all the possible unique outcomes if Tina chooses 3 coins at one time from her pocket?

Q Q Q D D NQ Q D D D PQ Q N D N PQ Q PQ D DQ D NQ D PQ N P

Question # 3

The Duggar family has 4 children and counting. Create a tree diagram to represent the possible birth order of boys or girls.

B

G

B

B

G

G

B

B

B

B

G

G

G

GG

G

G

G

G

G

G

GB

B

B

B

B

B

B

B

Question # 4

Mrs. Fields is baking cookies and brownies. She makes chocolate chip cookies, oatmeal cookies, and peanut butter cookies. She has 2 types of brownies, fudge brownies, and walnut brownies. If you got to choose a cookie and a brownie, what are all your possible combinations of a cookie, and a brownie?

• CC, F

• CC, W

• O, F

• O, W

• PB, F

• PB, W

Question # 5

Henry has 4 coins. Draw a tree diagram to show all the possible outcomes if Henry tosses all 4 coins at the same time?

H

T

H

H

T

T

H

H

H

H

T

T

T

TT

T

T

T

T

T

T

TH

H

H

H

H

H

H

H

Question # 6

What is the P (2)?

4

3

1

2

6

31

5

8

1

Question # 7

What is the P (even)?

4

3

1

2

6

31

5

8

3

Question # 8

What is the P(~1 or 3)?

(as a percent)

4

3

1

2

6

31

5

%50

Question # 9

What is the P(odd or composite)?

4

3

1

2

6

31

5

8

7

Question # 10

What is the P(even and prime)?

4

3

1

2

6

31

5

8

1

Question # 11

What events have the same probability of occurring?

4

3

1

2

6

31

5

6,5,4,2

31

or

or

Question # 12

Identify as:

Independent or Dependent

If you roll a number cube and get a 5, you get to roll again.

Question # 13

Identify as:

Independent or Dependent

You draw a marble from a bag. You put it down and draw another marble.

Question # 14

Identify as:

Independent or Dependent

You pick a card from a deck of cards. You replace it, and pick another card.

Question # 15

Identify as:

Independent or Dependent

You roll a number cube and get a 4. You roll again and get a 6. You roll a third time and get a 3.

Question # 16

Identify as:

Independent or Dependent

You want the total of two rolls to be 9. You roll a 3 on your first roll.

Question # 17

Identify as:

Independent or Dependent

You reach for a cookie in the cookie jar and eat it. You want and reach for a different cookie.

Question # 18

8

3

Write the fraction as a decimal and a percent.

%5.37

375.0

Question # 19

08.0

Write the decimal as a fraction and a percent.

%825

2

Question # 20

%46

Write the percent as a fraction and a decimal.

46.050

23

Question # 21

=x x

Find the value of x.

6x

Question # 22

Find the value of x.

=x

7x

Question # 231522 xWhich can be solved by:

A) Henry runs 15 minutes from point A to point B. Then 20 minutes to point C. How long did he

run in all?B) Jim cut a 15 cm piece of tape from a 22 cm long roll. How much tape is left on the roll?C) Danielle buys a blouse for $15. How much will

22 of them cost?D) Ally spent $22 on a shirt. She spends another $15 for a scarf. How much did she spend altogether?

Question # 24m324Which can be solved by:

A) Joe, the copy guy, can print 24 pages a minute. How many copies can Joe print in 3 minutes?

B) A Bugati Veyron can go 0.24 miles in 3 seconds. At what speed is the car going in miles per hour?C) A waiter served 3 waffle cones. There were 24

waffles left. How many waffles did he have when before he started serving?D) Alan has 24 boxes of cookie dough. He decides to separate them into groups of 3. How many groups does he have?

Question # 25The model shown has 169 small squares in it. What are the TWO ways to represents the number of small squares along each side of the model?

169

13

Question # 26

Position 1 2 3 4 5 n

Value of Term ? ? ? ? ?

Given 2(n – 6). Find the value of the first 5 terms in the sequence.

,...2,4,6,8,10

Question # 27

Position 1 2 3 4 5 n

Value of Term ? ? ? ? ?

Given (n2 + 2). Find the value of the first 5 terms in the sequence.

,...27,18,11,6,3

Question # 28

Answer the following question about a triangular pyramid.

A)What shape is the bases? triangle

B)What shape is the faces? triangle

C)How many total faces does it have? 4

D)How many vertices does it have? 4

Question # 29

Answer the following question about a hexagonal prism.

A)What shape is the bases? hexagon

B)How many pairs of rectangular faces does it have? 3 pairs; 6 total rectangles

C)How many vertices does it have? 12

Question # 30

Classify the triangle by its TWO names when it has two angles that measure 50º, each.

Isosceles

Acute

Question # 31

Classify the triangle by its TWO names when it has angles that measure 45º, 90º, and 45º.

Isosceles

Right

Question # 32

Find the area of the following figure.

10 mm

8 mm

80 mm2 25.12 mm2

105.12 mm2

Question # 33

Find the area of the following figure.

8 m8 m

25.1

2 m

2

32 m2

57.12 m2

Question # 34

Find the base of a triangle that has an area of 72 m2 and a height of 9 m.

b = 16 m

Question # 35

Find the other base of a trapezoid that has an area of 45 in2, a height of 9 in, and one base of 4 in.

b = 6 in

Question # 36

Find the volume of a ‘soup can’ that has a diameter of 20 mm, and a height of 200 mm.

V = 62,800 mm3

Question # 37

Find the volume of a cylinder that has a radius of 8 ft, and a height of 10 ft.

V = 2,009.6 ft3

Question # 38

Find the median AND range of the following set of data.

Mercury 90

Venus 95

Jupiter 88

Pluto 106

Saturn 75

Mars 88

range = 31median = 89

Question # 39

Using the information in the table, what type of graph would be best to represent the data?

ActivityNumber of

People

Basketball 36

Baseball 20

Football 45

Volleyball 40

Golf 15Bar Graph

Question # 40

Point A is at (5, – 4). It is then reflected across the x – axis. Where is point A’?

A’ (5, 4)

Question # 41

Point C is at (– 5, 1). It is then reflected across the y – axis. Where is point C ’?

C’ (5, 1)

Question # 42

Ann goes to Kohl’s buys a blouse and a capri for $20 and $25, respectively. When she is checking out, the cashier says that everything is 40% off. What is the total discount Ann saved? Discount = $18

Question # 43

Jay goes to Honda to buy a motorcycle that is regularly $8,500. There is a 30% off sale. What is the sale price of the motorcycle?

Sale Price = $5,950