Standard deviation table, a standard normal table also known as the "Unit Normal Table" is a math table for the values of Φ, the cumulative distribution function of the normal distribution. Standard deviation table are used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution, & by extension, any normal distribution.
Standard deviation table is the measure of describing squared mean difference variability & spread of the Data set in the given total numbers. Standard deviation table is used to take the measurement of taking square root and average of numbers in the Data set.
Formula for standard deviation,
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Solve for x: 5x = 2.
Apply the logarithm of both sides.
log 5x = log 2
Use theorem 2 to simplify the equation.
x * log 2 = log 5
Solve for x by dividing each side by log three
x = (log 5/log 2)
A decimal approximation may be found if desired - x = 2.32192809. Solve Log3(2x+5) = 2 for x.
Write an equivalent exponential expression, 2x+5= 32
2x+5=3*3
2x+5=9
Solve for x. 2x=4, x = 2.
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Convert 9.6 to equivalentfraction number by using equivalent fractions calculator
Here transfer 9.6 to an equivalent fraction,
Multiply both the numerator & the denominator by 10.
= (9.6 x 10)/10
= 96/10
Hence there is one digit in a place of the very last digit is the "10th" decimal place. Therefore we can just say that 0.1 is the same as 1/10.
= 9.6 can be written as the equivalent fraction = 96/10
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A function is refers to be monotonic if it is either increasing or decreasing but not both in a given interval.
Consider the function f(x) = 3x+1, x£ [0,1]
The mentioned function is increasing function on R. Hence continuous function is a monotonic function in [0, 1]. Continuous function has its minimum value at x = 0 that is equal to f (0) =1, has a maximum value at x = 1, that is equal to f (1) = 4.
'Every monotonic function imagines its maximum or minimum values at the end points of its domain of definition.'
Point to be remember that 'every continuous function on a closed interval has a maximum and a minimum value
The maxima and minima value of an expression or quantity is meant primarily the "greatest" or "least" value which it can receive. However, there are notes at which its value ceases to increase & begins to decrease; its value at such a point is known a maximum. So there are points at that its value ceases to decrease & begins to increase; such a value is known as a minimum. There may be many maxima or minima, & a minimum is not necessarily less than a maximum. For illustration the expression (x 2 -1x+ 2)/(x - 1) can driven all values from - 00 to - 1 & from + 7 to + oo, but has, so long as x is real, no value between - 1 & + 7. Here - 1 is a maximum value, & + 7 is a minimum value of the expression, though it can be made greater or less than any assignable quantity.
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Let us learn about decimal squaresDecimal Squares is a program for tutoring place values & the use of decimals. Decimal Squares was improved by Professor Albert Bennett at the University of New Hampshire. The bulk of the program is a series of classroom learning materials & books that are available for purchase. 1 aspect of the Decimal Squares program which you can access for free is the games section.
The games section of Decimal Squares offers 8 interactive games which students can use to develop their understanding of place values.
Decimal Squares are applied as a visual model for the part-to-whole concept of decimals & for illustrating decimal equality, place value, inequality, & estimation.
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The term 'fraction defines a number that is being used to describe a part of a group & while writing it student can use the term denominator & numerator. Nominator is used to write the number that is above the line & denominator is used for the number that is below the line. Best example: If you write the term ½ you can say that the term is being written in terms of fraction & the digit '1' is known as the numerator while '2' is known as denominator.
How to graph fractions on a graph?
The same way student would graph numbers which are not fractions.
SAMPLE:
Graph 1/2 & 3/4 on the real number line.
<------(-2)------(-1)--------(0)------(1)-------(2)---->
Obviously, where would student put fractions 1/2 & 3/4?
The fractions would easily fit between 0 & 1, right?
The same applies to points on a graph.
SAMPLE:
Graph (2, 3/4) & (0, 1/2) on the xy-plane?
How would student graph these points?
For (2, 3/4), student travel 2 units to the right on the x-axis
& 3/4 units UP on the y-axis & plot the point there.
For (0, 1/2), student would NOT travel on the x-axis because of ZERO but student would need to travel 1/2 units UP on the y-axis and plot the point there.
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Calculate the square root of 48. Answer: √48= 6.92820323. Factor the radicand & take the square roots of the factors.
√48 = √(16×3)
= √16√3
= 4√3
Simplify the following square root. √48 Solution: √48 = √16*3 = √16 * √3 = √4² √3 = 4√3
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