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BARSIC [14]
3 years ago
9

Matching: 1. normal distribution square root of the variance 2. standard normal distribution difference between any value and th

e mean of the set 3. deviation a distribution that takes on the shape of a bell curve 4. frequency distribution organizes data into categories called classes 5. range normal distribution with a mean of 0 and a standard deviation of 1 6. standard deviation deviation of a value (x) from the mean of the sample divided by the standard deviation 7. variance square of the standard deviation 8. z-score difference between the smallest term in the data set and the largest term in the data set
Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

1)  Normal distribution-------------- A distribution that takes on the shape of                                                                                               a bell curve.

2) Standard Normal distribution--------A normal distribution with a mean                                                                                                                                                                                            0  and a standard deviation of 1.

3) deviation-----------------  difference between any value and the mean of

                                               the  set.

4) frequency distribution--------- organizes data into categories called

                                                     classes.

5) range---------- difference between the smallest term in the data and      

                          the  largest term in the data set.

6) standard deviation----------- square root of variance.

7) Variance------------ square of the standard deviation.

8) z-score------------- deviation of a value x from the mean of the sample

                                    divided by the standard deviation.



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<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

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