Math

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Where can you find practice math problems?

Math.com allows the user to enter the website and select a category of math, such as basic math, algebra and geometry. After selecting "math" on the IXL Learning website, the user can select an age group that allows the user to answer practice math problems at the appropriate math level. Finally, MajorTests.com is a practice SAT site that prepares the user for the math portion of the SAT test by providing the kind of math questions typically found on the SAT.

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How do you use a prime and composite numbers chart?

Students are given a square chart of the numbers 1 to 100, or the numbers 1 to 1,000, and told to shade prime numbers in red and composite numbers in blue. This is a simple exercise when dealing with the smaller numbers. For example, eight of the first 20 numbers and 15 of the first 50 numbers are primes, but only 10 of the next 50 numbers are primes, for a total of 25 primes in the first 100 numbers. In the following 100 numbers, there are 21 primes, and in the 100 numbers following that, there are 17 primes.\nA clever student, taught to make conclusions from trends when dealing with numbers,..

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What is the difference between parametric and non-parametric tests?

Parametric data is considered to have a normal distribution because it tends to cluster at one specific point. This relationship is also described as a Gaussian distribution, after its discoverer, or simply as a bell curve. Since the shape is so predictable, it can be used to draw more reliable conclusions than comparatively random non-parametric data. Non-parametric data is less affected by extreme outliers and can be simpler to work with.\nParametric tests include the Pearson correlation test, independent-measures t-test, matched pair t-test and Anova tests. Non-parametric tests include the ..

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How many sides does a quadrilateral have?

The most common expression of this is found in squares, but other quadrilaterals include the parallelogram, rhombus, rectangle and trapezoid. The only real restrictions are that all sides must be straight, the shape itself must be closed, and the vertices must meet at an angle. Otherwise, the lines can be of any length and the angles used can be of any degree necessary to satisfy these characteristics.

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What is the leading coefficient of a polynomial?

For example, in the polynomial 4x^3 + 2y^2 + 3x -1, the leading coefficient is 4 because 4x is raised to the third and highest degree. Rewriting the polynomial as 2y^2 + 3x + 4x^3 -1, while not changing the value of the expression, violates the convention of arranging polynomials in descending order of degree. For a polynomial such as x^2 + 2x + 4, the leading coefficient is 1 because the numeral 1 is omitted by convention from 1x^2.

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What is the z-score probability?

A z-score of less than zero is a value below the mean, while a z-score of more than zero is a value above the mean.\nA z-score can be converted into a value that represents the probability of something occurring. For example, a z-score could determine the probability of people with a specific shoe size walking into a shoe store given that the amount of shoes per size was equally distributed.

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What is Benjamin Banneker's contribution to math?

Part of what made Benjamin Banneker so notable for his time period is that he was an African-American scholar and mathematician who learned almost entirely from self-study. He became one of the first African-Americans in the United States to make a name for himself in science. While he became better known for his successful predictions based on astronomical studies, he first appeared on the national radar by building the first entirely wooden clock. It was the first of its kind in the nation, and accurately recorded time for several decades.\nBanneker impressed many people, including Thomas Je..

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How do you write a number in expanded notation?

There are two acceptable ways to rewrite a number in expanded notation. One way to write 326 in expanded notation is: 326 = 300 + 20 + 6. In this method, three is in the hundreds place because we wrote it as 300, and two is in the tens place, because we wrote it as 20.\nAnother way to rewrite a number in expanded notation would be to take the previous method a step further, and write it as a sum of multiples. For example, 1,776 in this method expanded notation would look like this: 1,776 = (1 x 1000) + (7 x 100) + (7x 10) + (6 x 1).\nA third way is to rewrite the above method as multiples for ..

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How do you calculate root mean square velocity?

To solve for the root mean square velocity requires knowing the molar mass of the gas in kilograms per mole, the temperature of the gas in Kelvin, and either the molar gas constant or the Boltzmann constant. A higher gas temperature results in a higher mean velocity. The root mean square velocity is useful in calculating the speed of both ideal and molecular gases.

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What is the formula for the surface area of a triangular prism?

A triangular prism can be thought of as two triangles and three quadrilaterals, so finding the total surface area involves finding the area of each of the five shapes and adding them together.\nThe area of a triangle is one half of the base multiplied by the height. The area of a quadrilateral is the base multiplied by the height.

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