Homework Lesson 10.2 part 2 Counting Outcomes and Tree Diagrams
Name: _
Date: _
Period: _
Due Date: _
1. Find the probability of each branch or path, ag, in the tree diagram below.
2.
a. Draw a tree diagram that shows all possible equally likely outcomes
Investigation: Some Triangles are Special
Part 1 45-45-90 Triangles
Step 1: Find the value of each variable. Round your answers to the nearest thousandth. Why
are the figures 45-45-90 triangles?
a.
b.
Step 2: Find the ratio of hypotenuse to leg of each tr
Name: _
Date: _
Practice: 10.6
1. An ice cream shop has 31 flavors. Carlos wants to buy a three-scoop sundae with
three different flavors. How many sundaes can he buy?
a. Is this a permutation or a combination?
b. Solve to answer the question.
2. There ar
Consider a state lottery called Lotto 47. Players
select six different numbers between 1 and 47. The
state lottery commission also selects six numbers
between 1 and 47. Selection order doesnt matter,
but a player needs to match all six number to win
Lotto
Homework Lesson 10.6 Combinations and Probability
Name: _
Period: _
1. Evaluate each expression without using a calculator.
a.
5!
3! 2!
2. Evaluate each expression
a. 6C3
b. 8C7
b.
8!
3! 5!
Date: _
c.
c.
C1
20
25!
0!25!
d.
199
C199
3. Find the number of w
Investigation: When Order Matters
Part 1: Counting Principle
Step 1: Draw a tree diagram of how many outfits to make out of 3 pants, 4 shirts,
and 2 pair of shoes.
The number of outfits are _.
Step 2: What is a quicker way of determining the number of out
Homework Lesson 10.5 Permutations and Probability
Name: _
Date: _
Period: _
Be sure to show your work.
1. Give the number of possible arrangements or selections for each situation.
a. Arrangements of five poetry books on a shelf.
b. License plates with tw
Venn Diagram Investigation
Name:_
Survey the class
1. Number of people in the class:_
2. Number of people in the class that like seafood (s):_
3. Number of people that like football (f):_
4. Number of people that like both football and seafood (f and s):_
Homework Lesson 10.3 Mutually Exclusive Events and Venn Diagrams
Name: _
Date: _
Period: _
Due Date: _
1. Refer to the Venn diagram, which gives you
probabilities related to the two events plays the
piano and plays the violin. These probabilities
apply to
NAME:_
Investigation: Skittles!
Part 1
The Skittles website states the company makes an equal amount of each flavor.
They mix up the candy (Red, Orange, Green, Yellow, and Purple) and then bag it.
1.
Color
What is the experimental probability of picking e
Homework Lesson 10.2 part 1 Tree Diagrams and Probability
Name: _
Period: _
Date: _
Answer the following multiple-choice questions.
1. In the Lucky Sevens Lottery, 100 numbered tokens (1-100) are mixed in a box. A lottery agent
then picks 10 of the tokens
Coin Toss Experiment
You will have 5 minutes to flip 2 coins, one in each
hand. Keep track of your outcomes in the chart
below.
Outcome
Individual Tally
Class Tally
Heads-Heads
Heads-Tails
Tails-Heads
Tails-Tails
-Dice Roll Experiment
You will have 5 minu
Homework Lesson 10.1 Randomness and Probability
Name: _
Period: _
Date: _
Due Date: _
1. A national survey was taken measuring the highest level of educational achievement
among adults age 30 and over. Express each probability to the nearest 0.001.
a. Wha
Name: _
Chapter 10 and 12 Pretest - Honors
Period: _
1. (2 points each) The table below represents the numbers of students in different grades at
Long Branch High School. Find the probabilities described below.
Grade
9th grade
10th grade
11th grade
12th g
Name: _
Date: _
Find the following items in your notebook and attach them to this page.
Chapter 10 and 12 Notebook Check (Honors)
1st point
(have the
item)
Item
2nd point
(item is
completed)
3rd point
(item is in
order)
1. Homework: 10.1
2. Investigation:
Name: _
Based on the results of your chapter 10 and 12
assessment, the following skills and concepts
need to be remediated by completing the
attached worksheets.
Worksheet
#
1
2
3
4
5
6
7
8
Worksheets
to be
completed
Skills
Grade on
worksheet
out of 10
Ba
Word Problems Practice Worksheet
Name: _
Solve the following word problems using the Pythagorean theorem, trigonometric ratios or
trigonometric inverses.
1) Joe is standing a distance of 20 m away the foot of a tower. He is looking up at the tower at a
40
Investigation: Right Triangle Trigonometry
Part 1: Pythagorean Theorem
What is the Pythagorean Theorem and when is it used?
Using the equation above (Pythagorean
Theorem), find the missing lengths of this
triangle.
a)
b)
Part 2: Trigonometric Ratios
What
Trigonometric Ratios & Inverse Worksheet
Name: _
Part 1: Write the equations.
Sin(x)=
Cos(x)=
Tan(x)=
Part 2: Find the missing sides of the right triangles below using trigonometric ratios.
a)
b)
c)
Part 3: Find each angle measure.
1) sin B = 0.4848
2) co
Pythagorean Theorem Practice
Name: _
Part 1: Do the following lengths form a right triangle?
Part 2: Find each missing length. (Round to the nearest tenth)
7)
8)
9)
10)
Part 3: A ladder is leaning against the side of a 10m house. If the base of the ladder
Homework: Lesson 12.1 Part 2 Right Triangle Trigonometry
Name: _
Date: _
Period: _
Due Date: _
1. Use the Pythagorean theorem to find the missing lengths.
a)
b)
2. Use trigonometric ratios to find the missing length.
a)
b)
4. Use trigonometric inverses to
Homework Lesson 12.1 Right Triangle Trigonometry
Name: _
Period: _
1. Give each answer as a decimal accurate to the nearest
0.001.
a. sinT = _
b. cos T = _
c. tanT = _
Date: _
d. sin R = _
e. What is the measure of angle T ?
f. What is the measure of angl