Football The stem-and-leaf plot below shows the difference between the points scored by the winning and losing teams in the Super Bowl during one 20-yr period.
Difference Between Winning and Losing Super Bowl Scores
0 |
1 3 3 3 3 4 7 7 |
1 |
0 1 2 3 4 5 7 |
2 |
3 7 7 |
3 |
5 |
4 |
5 |
Key: 1 | 0 means 10 points |
- Find the probability that the winning team won by less than 10 points.
- Find the odds that the winning team won by 10 to 15 points.
- Find the probability that the winning team won by more than 20 points.
C Challenge
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Reasoning The odds in favor of choosing a red marble from a bag of red and blue marbles are 7 : 3. What is the probability of choosing a blue marble? Explain.
Geometry Use the figure below. Assume that the white square is centered in the large square. If you randomly choose a point inside the figure, what is the probability that it will be in the region described?
-
P(red)
-
P(blue)
-
P(not blue)
-
P(green or white)
Standardized Test Prep
SAT/ACT
- What is the median of the following class sizes: 29, 31, 28, 25, 27, 33, 33, 26?
- 28
- 28.5
- 29
- 33
- If y = 10 when x = 5, and y varies inversely with x, which equation relates x and y?
-
xy = 5
-
y
=
50
x
y equals , 50 over x
-
xy = 2
-
y
=
2
x
y equals , 2 over x
Short Response
- A basketball team has 11 players. How many different 5-player groups can the coach choose to play during a game? Show your work.
Mixed Review
See Lesson 12-6.
Find the number of permutations or combinations.
-
7
P
4
sub 7 , cap p sub 4
-
3
P
3
sub 3 , cap p sub 3
-
6
P
2
sub 6 , cap p sub 2
-
9
C
1
sub 9 , cap c sub 1
-
5
C
4
sub 5 , cap c sub 4
Get Ready! To prepare for Lesson 12-8, do Exercises 55–59.
See Lesson 3-8.
Find each union or intersection. Let J = {4, 5, 6, 7}, K = {1, 4, 7, 10}, and L = {x | x is an even whole number less than 12}.
-
J
∪
K
j union k
-
J
∩
L
j intersection l
-
J
∪
L
j union l
-
L
∩
K
l intersection k
-
K
∪
L
k union l