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Which axis does the dependent variable go on?

In scientific research, a dependent variable is manipulated by the researcher to produce controlled conditions necessary for examining the research question. The independent variable is the measurable result of the experimental condition and is not manipulated by the researcher. Having the dependent variable on the Y-axis and the independent variable on the X-axis allows the viewer to see the results at each level of the dependent variable on one graph rather than having to consult multiple figures.

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What is the x-bar in statistics?

The mean value of "x" is obtained from repeated observations of the value of "x." To calculate x-bar, observe the value of "x" n times. Then, add all of the observed values of "x" and divide the sum by n. The resulting quantity is the mean value of "x," the x-bar. Because "x" is a random variable, x-bar is not the same number if it is measured repeatedly.\nThe x-bar should not be confused with the other average quantities, the median and the mode. The median indicates the middle of the observed values of "x." Calculate the median by arranging the observed values in numerical order and finding ..

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What are the factors of 24?

With standard factorization, each factor pairs with another to multiply together to get the factored number. For example, 2 pairs with 12 because 2 x 12 = 24. Furthermore, when 24 is divided by any of these numbers, there is no remainder, decimal or fraction. The quotient of a number divided by any of its factors is always a whole number, and it is also a factor of the number.\nPrime factorization involves breaking down the pairs of factors of a number even further. Each number must be written as the product of two or more prime numbers. A prime number is divided evenly only by 1 or itself. Fo..

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How do you add variables with exponents?

To simplify an algebraic expression, look for like terms. If two terms have the same variables but have different exponents, they cannot be combined. In the expression 8x - 10y + 3x, the like terms are 8x and 3x. The sum of their numerical coefficients must be attached to the common variable and corresponding exponent. Thus, the simplified version of the expression is 11x – 10y. The two remaining terms cannot be combined because they are not like terms.\nIn the example 6x^2y^2z + xyz - x^2y^2z, the like terms are 6x^2y^2z and x^2y^2z. Subtraction is the operation necessary to combine these t..

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What is 9 cubed?

In algebra, exponential notations such as 9 cubed, are used to show the repeated multiplication of a number. In this example, 9 is the base or factor. Three is the exponent or power, which represents the number of times the base is being multiplied.When a base is raised to a power of 3, the base is being cubed. Likewise, if a base is raised to the second power, it is being squared. A base written without an exponent is inherently raised to the first power.Nine cubed means that three 9s are being multiplied together. Nine multiplied by 9 is 81, and 81 multiplied by 9 is 729, which is the answer..

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What are the three forms of logic?

Deductive reasoning is the most obvious and trusted form of logic. An example of deductive reasoning is the following: If X equals 7 and if Y equals 3, then 3 times X plus Y equals 24. The reasoning proceeds from a given and true premise, in this case, X equals 7 and Y equals 3, and then leads to a conclusion that must be true as a result of logical necessity.In a nonmathematical setting, an example of deductive logic is the following progression from a major premise, to a minor premise and then to a final conclusion: All humans breath oxygen, John is a human and John, therefore, breathes oxyg..

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What are some good calculators for math?

The TI-84 Plus C Silver Edition is an updated version of the popular TI-84 Plus with a full color screen, high resolution, back light and rechargeable battery. The TI-84 Plus C Silver Edition is useful for high school students because it is permitted in all standardized high school tests including the SAT, PSAT and ACT. The TI-89 Titanium is a college-level calculator perfect for calculus and other advanced math. As of June 2015, it is not allowed for the high school ACT and International Baccalaureate tests.\nThe TI-Nspire CX Cas is considered to be the most advanced calculator on the market,..

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What is the formula for volume in math?

The volume V of a rectangular box with length L, width W and height H, is given by V = L • W • H. The volume of a cone is given by 1/3 • ? • r² • h, where "r" is the radius, and "h" is the height.\nVolume is expressed in cubic units, and Wolfram Mathworld provides the formulas for the volume of a cylinder, pyramid, sphere and other common surfaces. The volume of an object is a function of its temperature. When an object is heated, its particles move more, and it takes up a larger volume. This is known as thermal expansion. When the temperature drops, the object's volume contrac..

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What is the derivative of secant?

A secant can also be expressed as the inverse of its cosine. Using the product rule, the equation can be written as the cosine of x times the derivative of one minus one times the derivative of cosine, all divided by the square of the cosine of x. Simplifying further, the equation becomes one over the cosine of x times the sine of x over the cosine of x. One over the cosine of x is equal to sec(x), and the sine of x over the cosine of x is equal to the tan(x).

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How is a percentage increase worked out?

Find the difference between the amountsFind the difference between the starting amount and the final amount. For example, if the original amount was 20 and the new number is 28, you would perform the following calculation: 28 - 20 = 8. You should always get a positive number. If the number is negative, then there is either a decrease in the two amounts or you used the incorrect amount. Divide the difference by the originalDivide the difference of the two numbers by the original. This usually produces a decimal, unless the increase is a factor of the original value. For example, if you were to ..

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