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Mathematical Formulas and Concepts, Exams of Nursing

Various mathematical formulas and concepts related to geometry, statistics, and arithmetic. It covers formulas for calculating perimeter, area, volume, and surface area of different shapes, as well as concepts related to quartiles, standard deviation, histograms, and fractions. The document also explains how to convert mixed numbers to improper fractions, how to add, subtract, multiply, and divide fractions, and how to convert fractions to decimals. It is a useful resource for students studying mathematics at the high school or university level.

Typology: Exams

2022/2023

Available from 07/05/2023

Pronurse1
Pronurse1 🇺🇸

3.7

(10)

1.6K documents

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Download Mathematical Formulas and Concepts and more Exams Nursing in PDF only on Docsity! Pax math perimeter of a rectangle formula - AnswerP=2l+2w or 2(l + w) Peremiter of square formula - AnswerP= 4 x side Triangle Perimeter Formula - Answera+b+c (add 3 sides) Triangle Area Formula - AnswerA=1/2bh ( base times height, divided by 2) rectangular pyramid - Answera solid figure with a rectangle for its base and triangles for all other faces ( 4 triangles) Rectangular Pyramid Volume - AnswerV=1/3lwh Formula for perimeter of circle - AnswerPie times d (d is diameter) OR C= 2 x pie x r (r is radius which is half of diameter) Area is expressed in what type of units - AnswerSquare units (cm2, ft2, and mi2) Area of a parallelogram formula - AnswerA=bh Area of a trapezoid formula - AnswerA= 1/2(b1 + b2)h Apothem - Answera line from the center of a regular polygon at right angles to any of its sides. area of a regular polygon formula - AnswerA = 1/2ap ( a is length of apothem and p is perimeter) How is area of an irregular polygon determined - AnswerBy decomposing or breaking apart the figure into smaller shapes and then adding those areas together Ex if it consist of a triangle and 2 rectangles add the area of triangle to area of rectangles Pax math circle - AnswerThe set of all points in a plane that are the same distance from a given point called the center Circumference - AnswerThe distance around a circle Circumference of a circle formula - AnswerC=2πr (r is radius) Area of a circle formula - AnswerA=πr² Arc - AnswerPart of a circle connecting two points on the circle. Pythagorean Theorem - Answera²+b²=c² Hypotenuse - Answerthe longest side of a right triangle Volume - Answerhow much space an object occupies surface area - AnswerThe measurement of the outer surface of an object. Rectangular Prism Surface Area - AnswerSA=2lw+2lh+2wh Rectangular prism has how many sides - Answer6 How is surface area of a prism measured - AnswerAdding area of all faces and bases (best to unfold the image to see what shapes are included) How would you determine surface area of triangular prism - AnswerIt consist of 2 triangles and 3 rectangles So area of triangle (twice) and area of rectangle (3 times) Pax math What does it mean if data lies in the first quartile ? At the first quartile ? - AnswerIn = less than or equal to the median of the first half of data points At = equal to the first quartile What does jt mean if data lies in the second quartile - AnswerIt means between the first quartile and the median What does third quartile refer to - AnswerData that lies between 1/2 and 3/4 of the way through the data set (data that lies between the median and the median of the top half of data) Fourth quartile - AnswerAll data above third quartile If data lies in the ___ percentile it means ? If it lies AT ___ percentile it means - AnswerIn - lies in the range of the first percentage of data At - percent of data lies below data point Standard Deviation (SD) - Answerthe square root of the variance Variance of X - AnswerAverage of the squares of the differences between each data point and the mean of X Both variance and standard deviation are measures of - AnswerHow much the data tends to be spread out What does it mean if standard deviation is low ? High ? - AnswerLow - data points are clustered around the mean High - data is spread out, or there are a few substantial outliers Standard deviation only depends on - AnswerThe mean NOT mode or median The *histogram of the sample* represents - AnswerIf a sample is normally distributed, symmetrical or has measures of skewness or kurtosis Pax math Normal distribution histogram has the shape of - AnswerBell curve skewed right distribution ? Skewed left ? - AnswerSR- fewer data points to the right SL- fewer data points to the left Kurtosis - AnswerMeasure of weather data is heavy tailed with high number of outliers or light tailed with low number of outliers Simple even - AnswerConsist of only one outcome, like flipping a coin compound event - AnswerAn event consisting of two or more simple events. (One or more outcomes) What does a shaded dot on a number line mean ? Unshaded ? - AnswerShaded is greater than or equal to or less than and equal to Unshaded is just greater than or less than expanded form - AnswerA way to write numbers that shows the place value of each digit. Ex 7294= 7000+ 200+ 90+ 4 standard form - AnswerNot showing the place values ex 7294 When adding and subtracting fractions they must - AnswerHave the same denominator, numerators will be added/subtracted and denominators will be kept the same What do you do if you are adding or subtracting fractions and denominators are different - AnswerFind the Least common multiple so if one denominator is 6 and the other is 9 the LCM would be 18 so multiply 1/6 by 3 for both numerator and denominator and 4/9 by 2 for both numerator and denominator and then add What do you do when multiplying fractions - AnswerMultiply across for numerator and denominator Pax math What do you do when dividing fractions - AnswerMultiply and flip reciprocal so 1/3 : 3:5 becomes 1/3 * 5/3 and then multiply across What should be done when adding subtracting multiplying or dividing mixed fractions - AnswerConvert to improper fractions How do you convert a mixed number to improper fraction - AnswerMultiply the denominator by the whole number and add the numerator. The denominator remains the same ex 4 1/2 becomes 9/2 Composing fractions - AnswerAdding fractions with same denominator ex 3/7 + 2/7 = 5/7 unit fraction - Answera fraction with a numerator of one, it names one of the equal parts of a whole ex 1/3 = 0.3 1/8= 0.125 Decomposed fraction - AnswerSums of fraction with the same denominator ex 5/6 = 3/6 + 2/6 or 2/6+2/6+1/6 etc Explain what's done for PEMDAS with equation 8 : 4 + 8(7-7) - AnswerPerform inside parenthesis, which will equal 8 : 4 + 8 * 0 Since there are no exponents multiplication are done next from left to right 2+8*0 Finally addition Nd subtraction Answer is 2 Rational numbers - AnswerAny number that can be expressed as a fraction or ratio How do you convert fraction into a decimal - AnswerDivide numerator by denominator How would you set up the proportion for
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