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2 number Word Problems

This calculator handles word problems in the format below:

* Two numbers have a sum of 70 and a product of 1189 What are the numbers?

* Two numbers have a sum of 70. Their difference 32

* Two numbers have a sum of 70 and a product of 1189 What are the numbers?

* Two numbers have a sum of 70. Their difference 32

Absolute Value

Add, subtract, multiply or divide any two numbers with absolute value signs. Positive Difference.

Age Difference

Determines the ages for an age difference word problem.

Benchmark Fractions

Adds or Subtracts or Compares 2 fractions using estimating sums or estimating differences with benchmark fractions.

Confidence Interval/Hypothesis Testing for the Difference of Means

Given two large or two small distriutions, this will determine a (90-99)% estimation of confidence interval for the difference of means for small or large sample populations.

Also performs hypothesis testing including standard error calculation.

Also performs hypothesis testing including standard error calculation.

Date and Time Difference

Calculates the difference between two dates using the following methods

1) Difference in dates using year/month/day/hour/minute/second as the primary unit of time

2) Difference in dates in the form of years remaining, months remaining, days remaining, hours remaining, minutes remaining, seconds remaining.

1) Difference in dates using year/month/day/hour/minute/second as the primary unit of time

2) Difference in dates in the form of years remaining, months remaining, days remaining, hours remaining, minutes remaining, seconds remaining.

Difference of Proportions Test

Calculates a test statistic and conclusion for a hypothesis for the difference of proportions

Difference of Two Squares

Factors a difference of squares binomial in the form a^{2} - b^{2} or multiplies 2 binomials through in the form (ax + by)(ax - by).

Factoring and Root Finding

This calculator factors a binomial including all 26 variables (a-z) using the following factoring principles:

* Difference of Squares

* Sum of Cubes

* Difference of Cubes

* Binomial Expansions

* Quadratics

* Factor by Grouping

* Common Term

This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots

* Factors and simplifies Rational Expressions of one fraction

* Determines the number of potential*positive* and *negative* roots using Descarte’s Rule of Signs

* Difference of Squares

* Sum of Cubes

* Difference of Cubes

* Binomial Expansions

* Quadratics

* Factor by Grouping

* Common Term

This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots

* Factors and simplifies Rational Expressions of one fraction

* Determines the number of potential

Fractions and Mixed Numbers

Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:

* Addition (Adding)

* Subtraction (Subtracting)

* Positive Difference (Absolute Value of the Difference)

* Multiplication (Multiplying)

* Division (Dividing: complex fraction division is included)

* Compare Fractions

* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).

* Reciprocal of a Fraction

* Find all fractions between two fractions

* Addition (Adding)

* Subtraction (Subtracting)

* Positive Difference (Absolute Value of the Difference)

* Multiplication (Multiplying)

* Division (Dividing: complex fraction division is included)

* Compare Fractions

* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).

* Reciprocal of a Fraction

* Find all fractions between two fractions

Paired Means Difference

Calculates an estimation of confidence interval for a small or large sample difference of data

Sample Size Requirement for the Difference of Means

Given a population standard deviation 1 of σ_{1}, a population standard deviation 2 of σ_{2} a reliability (confidence) value or percentage, and a variation, this will calculate the sample size necessary to make that test valid.

Set Notation

Given two number sets A and B, this determines the following:

* Union of A and B, denoted A U B

* Intersection of A and B, denoted A ∩ B

* Elements in A not in B, denoted A - B

* Elements in B not in A, denoted B - A

* Symmetric Difference A Δ B

* The Concatenation A · B

* The Cartesian Product A x B

* Cardinality of A = |A|

* Cardinality of B = |B|

* Jaccard Index J(A,B)

* Jaccard Distance J_{σ}(A,B)

* Dice's Coefficient

* If A is a subset of B

* If B is a subset of A

* Union of A and B, denoted A U B

* Intersection of A and B, denoted A ∩ B

* Elements in A not in B, denoted A - B

* Elements in B not in A, denoted B - A

* Symmetric Difference A Δ B

* The Concatenation A · B

* The Cartesian Product A x B

* Cardinality of A = |A|

* Cardinality of B = |B|

* Jaccard Index J(A,B)

* Jaccard Distance J

* Dice's Coefficient

* If A is a subset of B

* If B is a subset of A

Vectors

Given 2 vectors A and B, this calculates:

* Length (magnitude) of A = ||A||

* Length (magnitude) of B = ||B||

* Sum of A and B = A + B (addition)

* Difference of A and B = A - B (subtraction)

* Dot Product of vectors A and B = A x B

A ÷ B (division)

* Distance between A and B = AB

* Angle between A and B = θ

* Unit Vector U of A.

* Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel (includes parallel planes).

* Cauchy-Schwarz Inequality

* The orthogonal projection of A on to B, proj_{B}A and and the vector component of A orthogonal to B → A - proj_{B}A

Also calculates the horizontal component and vertical component of a 2-D vector.

* Length (magnitude) of A = ||A||

* Length (magnitude) of B = ||B||

* Sum of A and B = A + B (addition)

* Difference of A and B = A - B (subtraction)

* Dot Product of vectors A and B = A x B

A ÷ B (division)

* Distance between A and B = AB

* Angle between A and B = θ

* Unit Vector U of A.

* Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel (includes parallel planes).

* Cauchy-Schwarz Inequality

* The orthogonal projection of A on to B, proj

Also calculates the horizontal component and vertical component of a 2-D vector.

The distance between X and 8 is less than 14

Foster is centering a photo that is 9/1/2 inches wide on a scrapbook pages that is 10 inches wide. H

3 times the difference of x and 5 is 15

the quotient of 8 and the difference of x and m

The difference of 100 and x is 57

The difference between 3 times x and 4

18 divided by the difference of t and 9

At 1:00 pm you have 24 megabytes of a movie and at 1:15 you have 96 megabytes of a movie. What is th

Divide 10 by the difference of z and y

Difference between 23 and y is 12

A random sample of 40 adults with no children under the age of 18 years results in a mean daily leis

Translate this sentence into an equation. The difference of Maliks age and 15 is 63 Use the variable

Translate this sentence into an equation. 48 is the difference of Ritas age and 11 . Use the variabl

A researcher believed that there was a difference in the amount of time boys and girls at 7th grade

If the P-value of a hypothesis test is 0.40, you conclude a. You accept the null hypothesis b. You r

In order to test if there is a difference between means from two populations, which of following ass

A researcher posed a null hypothesis that there was no significant difference between boys and girls

A researcher posed a null hypothesis that there was no significant difference between boys and girls

A researcher posed a null hypothesis that there was no significant difference between boys and girls

Which of the followings can increase the value of t? (select all the apply) a. Increase the standar

If power is big, you can assume:

As the sample size increases, we assume:

Which of the following can increase power?

A random sample of 40 adults with no children under the age of 18 years results in a mean daily leis

The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered t

Suppose that Sn = 3 + 1/3 + 1/9 + ... + 1/3(n-2)

The difference of 2 positive numbers is 54. The quotient obtained on dividing the 1 by the other is

The square of the difference of a number and 4

The difference of twice a number and 9 is less than 22

raise the difference of 8 and v to the 7th power

Translate this sentence into an equation. 49 is the difference of Diegos age and 17. Use the variabl

If the max time that John can spend on Client A ($20/hr) in one week is 32 hours, and the min time i

The sum of 2 numbers is 70. The difference of these numbers is 24. Write and solve a system of equat

59 is the difference of vanessas height and 20

Two numbers total 50 and have a difference of 28. Find the two numbers.

You are given a choice of taking the simple interest on $100,000 invested for 5 years at a rate of 2

When 3 consecutive positive integers are multiplied, the product is 16 times the sum of the 3 intege

The difference of a number times 3 and 6 is equal to 7 . Use the variable w for the unknown n