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Is science and the study of quality, structure, space and change that mathematicians formulate new conjectures, and establish truth through rigorous inference.

Find the Pearson product-moment correlation coefficient of the data set shown below: (10pts)

**r=-0.9550**

The exact simple interest on 5,000 for the period of January 15 to November 28,1992 if the interest rate is 22%

**955.74**- 547.65
- 300.55
- 451.89

Once a plan has been devised it must be carried out.

- Understand the Problem
- Review the solution
**Carry out the plan**- Devise a plan
- None of the choices

Identify which of the statements shown below is NOT an Essential of Linear Programming Models.

- Complexity
**Homogeneity**- Objective
- Limited resources

How many of your batchmates have you surpassed if your graduation rank in high school is 56th percentile out of 2136 students?

- Answer: 1196
- Question 10
- Answer saved
**Marked out of 5.00**- Not flaggedNot flaggedFlag question

It is also referred to as the principal

- maturity value
- amount
**Present value**- annuity

The actual time in days from May 1 to Dec 15 of the same year is

- 240
**228**- 230
- 227

It refers to a set S and P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as follows: { = Set-Builder Notation ~ Set- Roster Notation ~ Subset ~ Ordered Pair }

- S|P(x) x
**x S|P(x)**- P(x)|S x
- x P(x)|S

It is an ordered list of numbers called terms that may have repeated values.

- Patterns
- Fibonacci Sequence
- Exponential Growth Model
**Sequence**

It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in ~

- Ordered Pair
- Subset
- Set-Builder Notation
**Cartesian Product**

John wants to apply for a loan, with a Present Annuity due value of $3,500,568.78 from a bank that charges 14.28 % interest per annum, compounded monthly. If he can only be able to pay back $43,367.21 per annum at the beginning of each year, When will John fully pay all of his debt to the bank?

- 22 years
- 21 years
- 27 years
- 15 years

What do you call the type of correlation when the value of one variable increases with respect to another?

- Negative Correlation
**Positive Correlation**- Linear Optimization Correlation
- No Correlation

49. It is one whose payment depend on an event that cannot be foretold accurately.

- ordinary annuity
- annuity due
**contingent annuity**- deferred annuity

In an exam, students in a class scored as follows:

- 90
**88**- 40
- 78

It refers to a system of arithmetic for integers, which considers the remainder.

- International Standard Book Number
**Modular Arithmetic**- Universal Product Code
- EAN-12

What do you call the single value that attempts to describe a set of data by identifying the central position within that set of data?

- Correlation
- Linear Programming
- Northwest Corner Algorithm
**Measure of Central Tendency**

Find the final output of this proposition (((P ∨ Q) → (R ∧ S)) ↔ ¬(¬T ↔ Q)).

**TFFTFTFTFTTFTFTFTFFTFTFTFTFTFTFT**- FFTTFTFTFTTFTFFFTFFTFTFTFTFTFTFF
- TTTTFTFTFTTFTFFFTFFTFTFTFTFTFTFF
- TTTTFTFTFTTFTFTFTFFTFTFTFTFTFTFT

It refers to a collection of numbers or values that relate to a particular subject.

- Variables
**Data Set**- Elements of the set
- Problem Syntax

It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part assets the presence of something.

- Existential Universal Statement
- Universal Conditional Statement
- None of the above
**Universal Existential Statement.**

It refers to a statement such that first part assures that a certain object exists and is universal since its second part says that the question fulfills a specific property for everything of a specific kind.

- Universal Conditional Statement
**Existential Universal Statement**- None of the above
- Universal Existential Statement.

This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1.

- Patterns
- Exponential Growth Model
- Sequence
**Fibonacci Sequence**

It is used to convert any formal distribution into the standard normal curve between them.

- T-score
- Ratio
- Standard deviation
**Z-score**

In how many years will $ 21,136.18 amount to $ 75,514.55 at 27.54 % per annum when compounded quarterly?

- 4.780
- 4.178
**4.781**- 4.871

What do you call the method developed to help solve large, real-world linear programming problems?

**Simplex Method**- Tableaus
- Corner Point Principle
- Northwest Corner Algorithm
- Optimal Production Policy

Find the present value of an ordinary annuity which has payments of $19157.64 per year for 24 years at 12.34 % compounded quarterly.

**$ 532159.76**- $ 593495.07
- $ 517347.13
- $ 531295.14

It refers to the number that occurs most frequently in a list of numbers.

- Deviation
- Mean
- Median
**Mode**

How many conversion periods are there for an amount of 1000 compounded quarterly for 5 years

- 15
**10**- 20
- 5

Sunshine holds two part-time jobs, Job 1 and Job 2. She never wants to work 56 hours a week. If Sunshine makes $99.13 an hour at Job 1, and $56.37 an hour at Job 2, how many hours should she work per week at each job to maximize her income?

- Answer must be rounded off to two decimal places
- Answer: job1=40.00/job2=16.00
- Question 1
- Answer saved
**Marked out of 10.00**- FlaggedFlaggedRemove flag

The present worth of 20,000 with simple interest of 12% due in 9 months is

- 18,509.23
- 23.500.00
- 21,000.00
**18,348.62**

The interest computed on the basis of a 360-day year

**Ordinary interest**- Simple interest
- Compound
- Exact interest

It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B.

- Subset
- Set-Builder Notation
**Cartesian Product**- Ordered Pair

In Polygonal Numbers the Geometric shapes associated with numbers for Pentagonal numbers is_______________________.

- n2
- None of the above.
- n(n+1)/2
**n(3n-1)/2**

It is a policy that gives you the optimal number of each product to produce.

**Optimal Production Policy**- Standardization Policy
- Supply Chain Policy
- Economical Policy

Given this ISBN, 978073342609x. Find the check digit x?

- 0
- 1
- 3
**4**

Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful

- Understand the Problem
- Carry out the plan
- None of the choices
**Devise a Plan**- Review the Solution

It refers to the bond rate or coupon rate

- Compound value
- Effective ratel
- Present value
**Nominal rate**

Ayaka is 12 years older than Joshua. Five years ago, the sum of their ages was 28. How old are they now? (6pts)

- Answer:
**Ayaka=25/Joshua=13**

A lot of events happening around us needed mathematical tools to help us in make sound analysis and better decisions.

**Mathematics for Organization**- Mathematics is indespensible
- Mathematics for Control
- Mathematics for Prediction

Ayaka scored the following on his mathematics tests: 60 ,75 ,80 ,75 ,70 ,90 , 91 ,84 ,61 ,75. What is the standard deviation of her test scores?

**10.10**

The mean for data set: 10,12,15,16 ,8, 7 is

- 10.55
- 12.12
**11.33**- 14.10

Find the median from a set of numbers divisible by 5 from 1 to 50. (5pts)

- 21.7
**27.5**- 20.4
- 23.5

To be able to solve a problem, understanding what the problem asks for is very important.

- Devise a plan
**Understand the problem**- Review the solution
- None of the choices
- Carry out the plan

A man borrowed 10,000 and agrees to pay at the end of 90 days under 8% simple interest rate. What is the required amount?

- 10,700
**10,200**- 11,500
- 9,500

The sum of a two-digit number's digits is 11. When the digits are swapped, the resulting number is 45 less than the original. Find the original number. (5pts)

**83**- 81
- 73
- 76

Two functions are said to be equal if and only they have the same set of ordered pairs (x,y).

- Relation
- Variables
- Function
**Equality of Functions**

Where the monthly e-commerce sales is Y and online advertising costs X. Note: Round off your answers to two decimal places. No spaces in between characters. Example format for the Final answer: y=36.11x+23.22

**y=171.47x+125.83**

What do you call the measure of the strength of a linear association between two variables and is denoted by r?

- Simple Linear Regression
- Median
- Modal Value
**Pearson product-moment correlation coefficient**

Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations

- Mathematics for Organization
- Mathematics for Prediction
- Mathematics is indespensible
**Mathematics for Control**

Accumulate 5,000 for 10 years at 8% compounded quarterly.

**11,040.20**- 13,876.50
- 10,345.80
- 12,456.30

Suppose that a marketing firm conducts a survey of 1,000 households, determine the average number of TVs each household owns. (5pts)

- Answer:
**2.57**

Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________.

**Pert**- A
- n(n+1)/2
- n2
- Pn2

The mode for the data in #5 is

- 12
- 9
**none**- 10

The mean for data set: 10,12,15,16.,8, 7 is

**11.33**- 14.10
- 10.55
- 12.12

At a certain interest compounded semiannually , 5,000 will amount 20,000 in 10 years .What is the amount at the end of 15 years?

- 40,920.23
- 40,000.000
- 40,000.23
**40,029.72**

Find the Pearson product-moment correlation coefficient of the data set shown below:

- Question 9
- Answer saved
**Marked out of 5.00**- FlaggedFlaggedRemove flag

The line that minimizes the sum of the squares of the vertical deviations from each data point to the line is referred to as the least-squares regression line, or least- squares line for

- Random line
- Least regression line
**Least-squares regression line**- Regression line

It refers to the sum of the numbers divided by n.

**Mean**- Mode
- Median
- Deviation

Who established and developed Linear Programming?

- Adam Smith
- Friedrich Hayek
- Karl Marx
**Leonid Kantorovich**

The compound amount when 2,000 is invested at 10% compounded every 6 months for 2 years.

- 2,423.00
- 2,345.20
- 2,340.12
**2,431.01**

It is a sequence of equal payments made at equal periods

- Interest
- Bond
**Annuity**- Compound interest

It is a connective that results to FALSE only when the antecedent is true and the component is false.

- Biconditional
- Disjunction
**Conditional**- Conjunction

The total amount the borrower would need to repay a loan

- Compound value
- Principal
**Maturity value**- Present value

What rate compounded annually will double any sum in 6 years?

- 12.20%
- 12.4%
- 12.30%
**12.25%**

It refers to the middle number if n is odd /even for a ranked order list of numbers.

**Median**- Mean
- Deviation
- Mode

What kind of annuity whose payment depend on an event that cannot be foretold accurately.

- Deferred Annuity
- Ordinary Annuity
**Contingent Annuity**- Annuity Certain

It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B

- Set-Builder Notation
- Subset
**Cartesian Product**- Ordered Pair

In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________.

- None of the above.
- n(n+1)/2
**n2**- n(3n-1)/2

The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers.

- Ratio
**Golden Ratio**- Exponential Growth Model
- Patterns

It is an interest computed based on the original principal during the whole life of investment

- annuity
**simple**- bond
- compound

A loan of Php 2000 is made for a period of 13 months at a simple interest rate of 20%.What is the maturity value?

- 2.400.32
**2,433.33**- 2,450.12
- 2,434.22

How many of your batchmates have you surpassed if your graduation rank in high school is 56th percentile out of 2136 students? (5pts)

- Answer:
**1196**

It represents the interest earned date or coupon date also referred to as coupon annuity payments

- Bond
**Periodic payment**- Borrowed principal
- Annuity

What kind of correlation shows no linear dependence or no relation between the two variables?

- Linear Correlation
- Positive Correlation
- Negative Correlation
**No Correlation**

These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots.

- Exponential Growth Model
- Sequence
**Patterns**- Fibonacci Sequence

It is an interest bearing contract which obligates the borrower to make payments of interest and principal on specific dates to the holder of the bond

- Check
**Bond**- Annuity
- Loan

It is an interest computed based on the original principal and the accumulated past interest.

- Deferred Annuity
**Compound Interest**- Simple Interest
- Annuity Due

The type of reasoning where a conclusion is made by means of specific examples.

- Polygonal Numbers
- Deductive reasoning
**Inductive reasoning**- Conjecture

Find the variance of [6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25].

**30.77**

It refers to a set S and P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as follows: { x ∈ S|P(x)}

**Set-Builder Notation**- Ordered Pair
- Subset
- Set-Roster Notation

It is one whose payment depend on an event that cannot be foretold accurately.

**contingent annuity**- deferred annuity
- ordinary annuity
- annuity due

It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A ⊆ B,

- Cartesian Product
- Ordered Pair
**Subset**- Set-Builder Notation

The largest interest can be obtained when compounded.

- quarterly
- semi-annually
**monthly**- annually

When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y.

- Function
- Variables
- Equality of Functions
**Relation**

Annuity where payment is done at the end of the term

- Deferred annuity
**Ordinary annuity**- Exact annuity
- Annuity due

Population growth and bacterial decay can be modeled by the exponential growth or decay formula.

- Fibonacci Sequence
- Sequence
- Patterns
**Exponential Growth Model**

How long will 4,000 to 14,000 at a simple interest rate of 12.5% ?

- 25 years
**20 years**- 15 years
- 10 years

Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor.

- Mathematics for Prediction
- Mathematics for Control
- Mathematics for Organization
**Mathematics is indespensible**

What is the present worth of a Php 1000 annuity over a 10-year period if interest rate is 8%?

- 7896.00
- 6234.80
- 8976.00
**6710.00**

The median for the data in #5 is

**11**- 15
- 12
- 10

Ayaka scored the following on his mathematics tests: 60 ,75 ,80 ,75 ,70 ,90 , 91 ,84 ,61 ,75. What is the standard deviation of her test scores? Round off your answer to the nearest tenths.

- Question 20
- Answer saved
**Marked out of 1.00**- Not flaggedNot flaggedFlag question

It is the region which consists of all possible solution choices for a particular problem

**Feasible Region**- Matrix Region
- Reinmann's Region
- Axiom Region

It displays a data set by dividing the data into intervals, or, classes, and listing the number of data values that fail into each interval.

- Relative frequency
**Frequency distribution**- Normal distribution
- Cumulative frequency distribution

The process of determining the current value of a bond

- Bond evaluation
**Bond validation**- Bond determination
- Bond interest

The maturity value of a loan of Php 10,000 and interest half of the principal

- 18,000
- 12,000
- 11,000
**15,000**

How much must be invested today in order to have 15,500 in 2 years if money is worth 12% simple interest?

- 12,000
- 13,000
**12,500.00**- 12,200

Ayaka is 12 years older than Joshua. Five years ago, the sum of their ages was 28. How old are they now?

- Answer: Ayaka=25/Joshua=13
**Question 1**- Complete
- Mark 1.00 out of 1.00
- Not flaggedFlag question

Find the interest rate on 6800 for 3 years at 11% simple interest .

- 2144.00
- 1,875.000
- 1987.00
**2,244.00**

Find the quartiles (Q1, Q2, Q3) of the data set shown below: (10pts)

- NO spaces between characters
- Answer format: Q1=22.99/Q2=25.00/Q3=31.21
- Answer:
**Q1=46.50/Q2=74.00/Q3=86.00**

The time between successive interest computation

- Approximate time
- Exact time
**Compounding period**- Regression period

Find the median from a set of numbers divisible by 5 from 1 to 50

- 23.5
**27.5**- 20.4
- 21.7

It is the numbers in a sequence separated by commas.

- Sequence
**Term**- Conjecture
- None of the Above

Which covers the longest time?

- 20 months
- 100 weeks
**800 days**- 1.5 years

elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d.

- Subset
- Set-Builder Notation
**Ordered Pair**- Set- Roster Notation

How long will 1,000 amount to 1,346 if invested at 6% compounded quarterly?

- 6 years
- 3 years
- 4 years
**5 years**

The number of days from April 12,2002 to October 25,2003 using actual time is

- 547
- 451
**561**- 300

It refers to the middle number if n is odd for a ranked order list of numbers.

- Deviation
- Mean
**Median**- Mode

What rate compounded quarterly is equivalent to 14% compounded semiannually?

**13.76%**- 13.45%
- 13.52%
- 13.65%

If money is worth 4% compounded monthly ,what payment at the end of each quarter will replace payments of Php 500.00 monthly

- 1,565.00
- 1,500.00
- 1,525.00
**1,505.00**

The type of reasoning where a conclusion is made by applying assumptions, procedures or principles.

**Deductive reasoning**- Inductive reasoning
- Term Numbers
- Polygonal Numbers

Suppose that a marketing firm conducts a survey of 1,000 households, determine the average number of TVs each household owns.

- Answer:
**2.57**

If 16,000 earns 480 in 9 months ,what is the annual rate of interest?

- 1%
**4%**- 2%
- 3%

It is found by assuming each month to be 30 days

- Simple time
**Approximate time**- Exact time
- Ordinary time

In Polygonal Numbers the Geometric shapes associated with numbers for Triangular numbers is_______________________.

- None of the above.
- n(3n-1)/2
**n(n+1)/2**- n2

It is an amount where the borrower is obliged to pay before the bond is surrendered to the borrower.

- maturity value
- final amount
- present value
**Final redemption value**

In a linear programming problem, it is the maximal value for profit.

**Corner Point Principle**- Northwest Corner Algorithm
- Simplex Method
- Optimal Production Policy

Which is regarded as an annuity?

**Monthly rental**- Monthly wage
- Water bill
- Electricity bill

It refers to denoting a set by enumerating all of its elements between braces.

- Set-Builder Notation
- Subset
- Ordered Pair
**Set- Roster Notation**

It is very important that once an answer was arrived it must be verified with regards to the given problem. Solutions must ensure that answers are consistent.

- Understand the problem
- Carry out the plan
- Devise a plan
**Review the solution**

Given this UPC number 61414x000036, find the 6th digit x.

**1**- 3
- 2
- 6

What do you call the technique used to model the dependency of one dependent variable upon one independent variable?

- Relative frequency
- Normal distribution
- Cumulative frequency distribution
**Simple Linear Regression**

It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A B,

- Cartesian Product
**Subset**- Ordered Pair
- Set-Builder Notation

How long will it take for 500 to accumulate to 2,000 at 12% compounded semi-annually?

- 12.7 years
- 12 years
- 12.5 years
**12.9 years**

It is one which payment begin and end at fixed times.

**Annuity certain**- Ordinary annuity
- Contingent Annuity
- Annuity due

What is the annual rate of interest if 265 is earned in four months on an investment of 15,000.00?

**5.3%**- 5.2%
- 5,0%
- 5.1%

The largest interest can be obtained when compounded

- annually
**monthly**- semi-annually
- quarterly

Find the quartiles (Q1, Q2, Q3) of the data set shown below:

- NO spaces between characters
- Answer format: Q1=22.99/Q2=25.00/Q3=31.21
- Answer: Q1=46.50/Q2=74.00/Q3=86.00
- Question 2
- Answer saved
**Marked out of 1.00**- Not flaggedNot flaggedFlag question

Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful:

- Review the solution
- Carry out the plan
**Devise a plan**- Understand the problem

When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x.

- Equality of Functions
- Relation
- Variables
**Function**

It refers to given elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d.

**Ordered Pair**- Set-Builder Notation
- Set- Roster Notation
- Subset

The actual number of days between May 4 and Sept 6 of the same year is

- 135
- 130
- 128
**125**

It refers to a statement that is both universal and conditional which contains some variation of the words "for all" and conditional statements contain versions of the words "if-then".

**Universal Conditional Statement**- None of the above
- Universal Existential Statement.
- Existential Universal Statement

It is a bell-shaped curve that is symmetric when you draw a vertical line through the mean.

- Positively skewed
- Kurtic
- Normal
- Skewed

To make predictions mathematical models can generate analysis and interpretation using existing data.

- Mathematics for Organization
- Mathematics is indespensible
- Mathematics for Control
**Mathematics for Prediction**

Sunshine holds two part-time jobs, Job 1 and Job 2. She never wants to work 56 hours a week. If Sunshine makes $99.13 an hour at Job 1, and $56.37 an hour at Job 2, how many hours should she work per week at each job to maximize her income? (10pts)

- Answer must be rounded off to two decimal places
- Answer:
**job1=40.00/job2=16.00**

The sum of a two-digit number's digits is 11. When the digits are swapped, the resulting number is 45 less than the original. Find the original number.

**83**- 76
- 73
- 81

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