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What is a 99 percent confidence interval?

Confidence intervals allow researchers to describe how stable an estimate is. A lower confidence interval, for example an interval of 90 percent, implies a less accurate estimated range of values. Selecting a percentage for the confidence interval is not set in stone and often changes from one discipline to another. Any percentage can be used when setting a confidence interval, but the most common confidence interval percentages are 90 percent, 95 percent or 99 percent.\nTo calculate a confidence interval, a researcher must have three pieces of information: confidence level, statistic and marg..

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What is an exponent in standard form?

Exponents also come in an expanded form. When the exponent form is five to the sixth power and the standard form is 15,625, the expanded form is 5x5x5x5x5x5. An exponent tells those performing math calculations how many times the base is a factor, or how many times to multiply the base by itself. In the example of five to the sixth power, the five is the base number. The sixth power, or six, is the exponent.

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How do you create a box and whisker plot?

A five-number summary is a concise explanation of the distribution of your observations. The median divides your data into two halves, and the first and third quartiles are the medians of the lower and upper halves, respectively. The maximum and minimum are the lowest and highest numbers in your data set, excluding outliers.\nIn a box-and-whisker plot, whiskers do not extend to outliers. Instead, a dot or an asterisk above the number line marks whiskers. To determine if a data point is an outlier, find the interquartile range, or IQR. The IQR is the distance between the first and third quartil..

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What are amplitude, period and phase shift?

Amplitude, period and phase shift are used most often for the cosine and sine functions but may be applied to any periodic function. Amplitude is always positive and equals the absolute value of b in the function (b)(sin(x)). Period equals 2pi/k in the function sin(kx). The phase shift can be positive or negative and equals c in the function sin(x-c). For example, in the function 2sin(3x + 1) the amplitude is 2, the period is 2pi/3 and the phase shift is 1.

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What is 7mm in inches?

The inch and the millimeter come from the imperial and the metric systems of measurement, respectively. The equation to convert a metric measurement into an imperial one is to multiply the number of millimeters by 0.03937. An easy method is to use one of the many online calculators and conversion charts. Since the inch is a larger unit of measurement than the millimeter, the measurement will be a smaller number of inches than millimeters.

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How do you convert a percentage to a ratio?

Write the percentage down as a fractionStart by writing out the percentage as a fraction over 100. So, if the percentage is 46 percent, write it as the following: 46/100.Reduce the fractionTake the fraction down to its simplest form. The example, 46/100, can be reduced by dividing both numbers by 2, or 2/2. This yields the fraction 23/50, which cannot be reduced further. Express the fraction as a ratioExpressing a fraction as a ratio simply means replacing the slash mark with a colon. So, in the example, 23/50 becomes the ratio 23:50. Convert a ratio into a fractionTo reverse the process, turn..

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What is a mathematical sentence?

A mathematical sentence makes a statement about the relationship between two expressions. An expression is composed of numbers, variables or a combination of both and are sometimes joined by operators such as "+," "-," "/" or "*."\n\nExamples of equations are:\n\n4x + 3 = 12\n6y - 50 = 100\n10 + 1 = c + 6\n\n\nExamples of inequalities are:\n\n15 - 6 = 16.5\n3 c\n5 < x\n10 > 5\n

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Why is math important in everyday life?

Individuals working in a business environment must use math to solve real-world issues, identify trends, analyze data, use modern technology and explain results to others. Math is used in various fields, including engineering, robotics, sales, medicine and electronics. Math skills display an ability to reach a specific result by following a particular series of steps. The skills developed while learning mathematics are applicable to other activities performed on a daily basis.\nMath is used when shopping for clothes, vehicles or groceries. It is important for calculating tax information. Deter..

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What were the contributions of Rene Descartes?

Descartes is most famous for his statement, "Cogito, ergo sum," often translated as, "I think, therefore I am." He argued that this provided an irrefutable foundation for knowledge. Even when humans are doubting, they are still thinking, so they can therefore always know that they exist. On this premise Descartes constructed his system of philosophy, later known as Cartesian Dualism.\nIn mathematics, Descartes invented the system of Cartesian coordinates that allows geometric statements to be expressed in algebraic form. He also invented the practice of using "x" and "y" to represent unknown v..

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How do you calculate reverse percentage?

For example, consider that Greg wants to purchase a television for $300 that he knows is 20 percent off the original price. By dividing this sale price ($300) by 1 minus the discount rate (.80), he learns that the price was $360 before the markdown. Likewise, if he knew that the television cost $315 after tax (at a tax rate of 5 percent), he could determine the sticker price ($300) by calculating 315/1.05.

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