6. In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice. 7. A survey shows that 73% of the Indians like apples, whereas 65% like oranges. What % Indians like both apples and oranges?

8. In a school there are 20 teachers who teach mathematics or physics. Of these 12 teach mathematics and 4 teach both physics and mathematics. How many teach physics?
9. There are 200 individuals with a skin disorder, 120 had been exposed to the chemical C1, 50 to chemical C2, and 30 to both the chemicals C1 and C2. Find the number of individuals exposed to
(1) chemical C1 but not chemical C2
(2) chemical C2 but not chemical C1
(4) chemical C1 or chemical C2
10. In a survey it was found that 21 peoples liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people like C and A, 14 people like B and C and 8 liked all the three products. Find now many liked product C only.

7. For any two sets A and B prove by using properties of sets that: (A B A - B = A ∩ ∪) ( )
8. If A, B, and C, are three sets and U is the universe set such that n(U) = 1000, n(A) = 300, n (B) 300 and n(A∩ B) = 200 find n (A B ′ ′ ∩ ) . 9. A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medal in all the three sports, how many received medals in exactly two of the three sports? 10. In a survey of 60 people, it was found that 25 people read news paper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspaper. Find (i) The no. of people who read at least one of the newspapers. (ii) The no. of people who read exactly one news paper.

6. There are 210 members in a club. 100 of them drink tea...

...Inventory Summary
Project Description:
In this Mastery project, you will edit a worksheet that summarizes the inventory status at the Petaluma production facility.
Instructions:
For the purpose of grading the project you are required to perform the following tasks:
Step | Instructions | Points Possible |
1 | Start Excel. Open the downloaded Excel workbook named GO_e02_Grader_EOC.xlsx. | 0 |
2 | Rename the Sheet1 worksheet tab to Condiments and then display the Toppings worksheet. | 4 |
3 | On the Toppings worksheet, in cell B4, insert a function that will total the Quantity in Stock data (A15:A29). | 5 |
4 | On the Toppings worksheet, in cell B5, insert a function that will calculate the average retail price of the available toppings (D15:D29). | 5 |
5 | On the Toppings worksheet, in cell B6, insert a function that will calculate the median retail price of the available toppings (D15:D29). | 5 |
6 | On the Toppings worksheet, in cell B7, insert a function that will calculate the lowest retail price of the available toppings (D15:D29). | 5 |
7 | On the Toppings worksheet, in cell B8, insert a function that will calculate the highest retail price of the available toppings (D15:D29). | 5 |
8 | On the Toppings worksheet, in cell B10, insert a function that will count the total number of salsa products available. | 5 |
9 | On...

...Summary Worksheet
Complete one worksheet for each source. All worksheet and summaries must be turned in.
Fill in the bibliographic information below. You must type in your information. Handwritten worksheets will not be accepted. Parenthesis with ABib (ABib) and Sum (Sum) indicate the information is appropriate for either the Annotated Bibliography assignment and/or the Summary.
Author(s)’ Name(s)(Sum)
Article Title (Sum)
Journal Title
Date of Publication
Volume Number
Issue Number
Academic Format Style
Database
Fill in the content information below.
Thesis
(ABib & Sum)
Purpose
Audience
Important
Ideas
(ABib & Sum)
Assumptions
(Sum)
Conclusions,
implications,
and/or
consequences
(ABib & Sum)
Limitations
(ABib)
Reliability
(ABib)
On a separate sheet of paper write a brief summary (350 words) of the source. The summary must include the title of the article and the full name of the author(s). All summaries must be turned-in with the appropriate worksheet and publication page attached to the summary with one staple. Staplers capable of binding large number of pages are available in the library. Staple in the following order: summaries first, worksheets second, and lastly, publication page.
...

...differentiation involving a workbook and a worksheet?
A workbook is just an Excel file that entered associated data is stored. They are qualified of holding an almost endless numbers of worksheets, which is determined by the size and the significance of the data. It is, really, a book filled with the data from numerous of worksheets. Mostly, workbooks are categorized by the data in which it’s on each worksheet-if every single page of the workbook contains the matching type of data, that workbook will be identified for the related data that it maintains.
Worksheet in Excel is a combination of a number of cells that contains data relating to a particular piece of information. Otherwise, a worksheet is known as a spreadsheet. A user is capable of entering, modifying, and manipulating the data that is inserted in the spreadsheet. With a worksheet, a user is basically putting information onto a page of a workbook.
Q. Why would you want to use separate worksheets when using Excel?
You should use several worksheets when creating spreadsheets for more than a few related groups of information. Never use several worksheets if your spreadsheets are not interrelated- make a new as a replacement. Never use the numerous worksheets with the “what if” situations to make the same group of information (perhaps worst case, best...

...2015
Math Curse By: Jon Scieszka and Lane Smith
Math Curse, written by Jon Scieszka and Lane Smith, takes us on a journey with a small child who is cursed by math. His teacher’s name is Mrs. Fibonacci, who was a well know mathematician who connected a mathematical sequence found in nature. Of course Mrs. Fibonacci told her class and this child how easily math can be seen in the outside world. Our main character goes on amath rampage that drives him crazy. Scieszka and Smith do a great job a combining mathematical concepts as well as rhymes and brain games. The book is continuously rhyming accompanied by humorous art work that gives the story a kind of flow. Want a little bit of a challenge? Try answering a number of math questions asked throughout the book. The math used consisted mainly of patterns if not basic math of a 3rd grader. Fractions were mentioned but as any 3rd grader would be our main character was terrified of them. So much so that he may have considered answering the question in French instead of math.
Overall the book seemed good for the target audience. There was appealing art work on each page, as well as rhymes. The Rhyming scheme made a big difference because it made the story have a sense of flow. Our authors also made the story interesting for an older more sophisticated audience with the introduction of Ms. Fibonacci who...

...Article Review 1
DeGeorge, B., Santoro, A. (2004). “Manipulatives: A Hands-On Approach to Math.” Principal, 84 (2), (28-28).
This article speaks about the importance and significance of the use of manipulatives in the classroom, specifically in the subject of math. Manipulatives have proven to be valuable when used in a math class and are even more valuable to the children when they are young, and are learning new math concepts. Students are able to physically visualize the math concepts and gain knowledge because they understand what they’re learning a whole lot better and they also are able to gain insights on those concepts. Different examples of manipulatives may include counting with beans or M&M’s, using pattern blocks, puzzles, tangrams, and flash cards, just to name a few.
Using manipulatives in a math class are beneficial to both the student and the teacher because the teacher is able to explain the concepts to the students in a much easier manner using the hands-on technique, rather than explaining it verbally. It’s especially beneficial to the student because by incorporating these manipulatives into their learning process, they are able to pick up the concepts much quicker and in a way that they better understand, yet are having fun while doing it. When they have the concepts down, the students’ self-esteem goes up and they feel encouraged to keep on going.
After...

...
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...

...D.A.V. PUBLIC SCHOOL, THANE. 2012-13 WORKSHEET :10 TOPIC: CIRCLES&TANGENTS SUB: MATHEMATICS.
STD: X
1. Three circles are described touching each other at two places externally. If the sides of
the triangle are 4cm, 6 cm and 8 cm, find the radii of circles. 2. In the given figure, circles with centres O and O’ touch internally at point A. AB is a chord of bigger circle intersecting the smaller one at C. If the smaller circle passes through the centre of the bigger circle , then P.T AC = CB.
B A
A
O
b
B
C .O'
3. A Quadrilateral ABCD is drawn so that D = 90° . BC = 38 cm . CD = 25 cm. A circle is inscribed in the quadrilateral and it touches the sides AB , BC ,CD & DA
Q
at P,Q, R & S respectively. If, BP = 27 cm , find the radius of the inscribed circle.
D C
4. ABC is an isosceles triangle in which AB= AC, is circumscribed about a circle. Show that BC is bisected at the point of contact. 5. Prove that the intercept of a tangent between two parallel tangents to a circle , subtends a right angle at the centre of the circle. Draw suitable figure. 6.’O’ is the centre of a circle. AB is a chord and AT is the tangent at A. If AOB = 100°. then find BAT .
O
A
T B
A 7. In the figure, OP is equal to diameter of the circle.
P
Prove that ABP is an equilateral triangle.
O
8. A circle touches all the four sides of a ABCD whose sides are AB = 6cm, BC = 9cm, CD = 8cm. Find the length of side AD. 9. From the figure, find the...