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What is 48 inches in feet?

In historical English customary measurement systems, certain distance units such as inch and foot were based on the dimensions of certain human body parts. The inch represented the width of a human thumb, and the foot represented the length of a human foot. In some languages, the word for "inch" and the word for "thumb" are the same. Furthermore, in the 14th century, King Edward II declared an inch to be equivalent to the length of three grains of barley measured end-to-end.

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Which are allowable sets of quantum numbers?

The angular quantum number, represented by l, indicates the direction of the orbit. It describes the shape of the electron orbit. The integers allowable for l range from 0 to (n-1). The third number, the magnetic quantum number, relates to the direction of the electrons' orbit. "m" has an allowable set of integers that range from -l to +l. The fourth and final quantum number, represented by s, is called the spin quantum number. Only two integers are allowable for this number: +1/2 indicating a 'spin up' electron and -1/2 indicating a 'spin down' electron.\nScientists ..

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What is trapezoidal approximation?

The number of trapezoids used determines the accuracy of the approximation since increasing the number of trapezoids increases accuracy, and reducing them diminishes accuracy. Trapezoid approximation can also be obtained by averaging the left and right rectangle approximations for the integral. In most cases, the approximation of the midpoint rectangle sums is twice as good as the trapezoidal approximation.

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How do you figure percentages?

Percentages are a very effective method of comparison between multiple values in mathematics. Used for decades throughout the world, percentages can be found anywhere from juice boxes to weather forecasts. From quantities to probability and statistics, percentages are put to use in a variety of different mathematical tasks.\nFor use in probability and prediction, a percentage usually indicates the likelihood of an event. Most commonly in weather stations, a percentage is used to predict the chance of a possible rain, hail, snow or any other natural occurrence. A 75% chance of rain would mean t..

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What is the margin of error formula?

The margin of error is inversely related to the square root of the sample size. The larger the sample (for example, of a population being surveyed), the smaller the margin of error. However, this formula does not rely on the size of the population. This formula is used to ensure that statistics of the sample population reflect the true outcome of a normal population a defined percentage of the time.

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How did Fibonacci die?

Fibonacci was famous for transforming mathematics in Europe. Prior to writing his book "Liber Abaci," Roman numerals were used for calculations. Realizing that this was too confusing, Fibonacci used the Hindu-Arabic numeral system in his book which soon became the standard in Europe. Although he did not create the Hindu-Arabic numeral system, they were soon called Fibonacci numbers because he used them in his book.

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How many planes of symmetry does a cube have?

If the cube has side length "s" then the three planes of symmetry that run parallel to the cube's faces form squares with side length "s" and none of the original vertices of the original cube. The other six planes form rectangles with length "s" and width "s*sqrt(2)" and all verticies part of the original cube.\nCutting the cube along the square planes of symmetry forms a rectangular prism with length and width "s" and height "s/2." Cutting the cube along the rectangular planes of symmetry forms a triangular prism with two triangular faces with side length "s" and height "(s/2)*sqrt(2),"..

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What is a quartic function graph?

Quartic, also called biquadratic, functions behave like quadratic functions in many ways. Because the square of a negative is a positive number, a negative number to the fourth power is also positive. This means that both sides of the curve eventually extend in the same direction. Some simple quartic functions have only one maximum or minimum and look like a steep parabola, such as f(x) = x^4.\nMany quartic functions have multiple maximums and minimums (or extrema), because they have other terms, such as x^3 or x, both of which can produce negative and positive values, or an x^2 term with a di..

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What are the two major types of statistics?

Descriptive statistics is used to describe and summarize data. Numerical measures such as average, standard deviation and correlation are used to describe the features of a set of data. Inferential statistics studies a statistical sample and, through analysis, is able to say something about the population from which the sample came. Because it is difficult to examine each member of the population individually, a representative sample is used to make estimations, correlations and predictions using the data.

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How do you convert time to a decimal using a conversion chart?

Conversion charts are useful to express time in hours and minutes expressed as decimals. In other words, 3:45pm does not equal 3.45 hours; it converts to 3.75 hours. A conversion chart can show that 45 minutes converts to 0.75 hours (in other words, to three-fourths of an hour).\nThey are necessary because in telling time, minutes are expressed as a proportion of an hour (that is, as a proportion of 60), while many situations require time in the decimal format (that is, as a proportion of 100). For example, payroll calculations may require the total number of hours worked to be expressed as de..

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