Estimate the indicated probability. 1) The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore cheese 14 16 meat 19 26 veggie 16 14 junior 20 16 19 senior 26 14 26

1)

Determine the empirical probability that a student prefers cheese toppings.

Find the probability. 2) A bag contains 2 red marbles, 4 blue marbles, and 8 green marbles. What is the probability of choosing a blue marble?

2)

3) Determine the probability that the spinner lands on white.

3)

4) A class consists of 23 women and 83 men. If a student is randomly selected, what is the probability that the student is a woman?

4)

5) A fair die is rolled. What is the probability of rolling a 3 or a 4?

5)

1

6) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 3?

6)

7) A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

7)

Find the odds. 8)

8)

What are the odds in favor of spinning a D on this spinner?

9) A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the cube showing a number less than 3?

9)

Solve the problem. 10) The odds in favor of a horse winning a race are posted as 9 : 4. Find the probability that the horse will win the race.

...90
Score:
9 of 10 points
Answer Key
Top of Form
Question 1 (Worth 1 points)
(03.02)
Use the graph below to fill in the blank with the correct number:
f(-2) = _______
Answer blank 1:
Points earned on this question: 1
Question 2 (Worth 2 points)
(03.02)<object:standard:macc.912.f-if.1.3
Find f(5) for this sequence:
f(1) = 2 and f(2) = 4, f(n) = f(1) + f(2) + f(n - 1), for n > 2.
f(5) = ______</object:standard:macc.912.f-if.1.3
Answer blank 1:
Points earned on this question: 2
Question 3 (Worth 2 points)
(03.02)<object:standard:macc.912.f-if.1.2
Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Laura has the movie.</object:standard:macc.912.f-if.1.2
c(x) = 2.00x + 0.50
c(x) = 2.00 + 0.50x
c(x) = 2.50x
c(x) = (2.00 + 0.50)x
Points earned on this question: 2
Question 4 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.2
If g(x) = x2 + 2, find g(3).</object:standard:macc.912.f-if.1.2
9
8
11
6
Points earned on this question: 1
Question 5 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.3
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.</object:standard:macc.912.f-if.1.3
0, -1, 1, 0, 2
0, 1, 1, 2, 3
0, 1, 2, 2, 3
0, 1, 1, 2, 2
Points earned on this question: 1
Question 6 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.2
Let...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...Unit 4 – Trigonomitry Quiz
True or False Questions, circle your answer.
1. cos(α)=opposite/adjacent true false
2. sin(54)=3.4/2.7 true false
for:
3. sin(α)/a=sin(β)/b is the same as a/sin(β)=b/sin(α)
true false
4. SohCahToa is not the same as primary trigonomic ratios
true false
5. The cosine law is: cos(γ)=(a²+b²-c²)/(2ab)
true false
Multiple Choice, mark your answer(s).
1. sin(20°)=45.9/c
a.) c=88.79
b.) c=134.21
c.) c=50.28
d.) c=45.9/sin(20°)
2. How do you calculate the perimiter of a triangle?
a.) P=a²+b²-c²
b.) A=bh/2
c.) P=a+b+c
c.) A=l*w
3. What would you use to find out x?
a.) the sine law
b.) sine the trigonomic ratio
c.) first the cosine law then the sine law
d.) first the sine law then tangent the trigonomic ratio
4. What is x from the triangle above?
a.) x=34.77°
b.) x= 97.5°
c.) x= 120.99°
d.) x=59.123°
5. You can definitely use SohCahToa if:
a.) you have 2 angles and an opposite angle
b.) you have 3 sides
c.) you have 2 angles and one side
d.) you have a right angled triangle
6.) sin(α)/a=sin(β)/b is:
a.) cosine law
b.) SohCahToa
c.) sine law
d.) tangent law
Give a short answer:
1. If you want to use the sine law to solve x, which sides and/or angles would you need? Explain.
I would need side c plus another one with the...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work from the outset. Much of the SDSC’s
effort over the intervening 40 years, and I would venture to say most of what
has been of value in that effort, has been directed toward questions about the
defence of the continent. This has also been the case for most of the work by
Australian defence policymakers over the same period. In this chapter I want
to reflect on that work by exploring how the idea of the ‘defence of Australia’
has evolved over that time, and especially how its role in policy has changed,
from the mid-1960s up to and including the most recent comprehensive statement
of defence policy, Defence 2000: Our Future Defence Force.
This is no dry academic question. The key question for Australian defence
policy today is how we balance priority for the defence of Australia against
priority for the defence of wider strategic interests. The starting point for that
debate is the policies of the 1970s and 1980s, which placed major emphasis on
the defence of the continent....

...who, by coincidence, caught the same number of fish this week. Danny caught fish in nets that hold 12 fish, while Karlus caught fish in nets that hold 8 fish. What is the minimum number of fish each must have caught?
Myung Hee's Bath Shop sells bars of soap in boxes of 16 bars and bottles of soap in boxes of 19 bottles. An employee is surprised to discover that the shop sold the same number of bars and bottles last week. What is the smallest number of each type of soap that the shop could have sold?
Race to simplify fractions in this fast-paced game! All you need to play is a deck of cards, paper and pencils. Shuffle the cards, and you're ready to get started. Simplifying fractions is an essential skill for every math student in the fifth grade or higher. Students need continued practice with simplification in order to successfully add, subtract, multiply and divide fractions. Play this game again and again and work towards mastering this important concept!
What You Need:
Deck of playing cards (with face cards removed)
Even number of players
Paper
Pencils
What You Do:
1. Create a fraction bar sheet by drawing a line across a piece of paper.
2. Set up the game so that the players face one another. For each pair of two players, you'll need to create a separate fraction game board.
3. Shuffle the deck of cards.
4. Distribute the deck evenly between two players.
5. Have the players place their decks face down in front of...

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total time in which the ball was in the air is 10 seconds
f) The two times in which the ball was 1 metre above ground is 0 and 9
Adonis Chigeza 10C
LCR Mathematics
Problem Solving and Reasoning Task
1.
Equation: y = -1.2𝒙2 + 8.4𝒙
a. The bridge is 7 metres wides so therefore it will successfully span the river with 2
metres to spare.
b. If a yacht has a 15 metre mask it will be unable to pass safely under the bridge
because the bridge only has a vertical height 14.7 metres.
Adonis Chigeza 10C
LCR Mathematics
2. Equation: v= -0.2h2 + 2.4h
a. The horizontal distance covered by the rocket when it reached its maximum
height of 7.2 metres was 6 metres.
b. The maximum height reached by the rocket was 7.2 metres.
c. At the horizontal distance of 9 metres from the launch site, there is a 5.2 metre
wall and at that vertical distance, the rocket has a vertical distance 5.4 metre.
That is not taking to account the dimensions of the rocket, however the rocket
cannot have...