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Bess [88]
3 years ago
13

How to do all this question ?

Mathematics
2 answers:
prisoha [69]3 years ago
8 0

Answer:

a) 3,6,9,12,15,18,21,24

b) 8,16,24,32,48,56,64,72


a) 16

b) 48

c) 24

d) 36

Step-by-step explanation:


stepan [7]3 years ago
4 0

Answer:

a)3,6,9,12,15,18,21,24

b)7,14,21,28,35,42,49,56

a)16

b)40

c)24

d)36

Step-by-step explanation:


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Yanka [14]

Answer:

Range=14

\sigma^2 =32.4

\sigma = 5 .7

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

Data: 136, 129, 141, 139, 138, 127

Solving (a): The range

This is calculated as:

Range = Highest - Least

Where:

Highest = 141; Least = 127

So:

Range=141-127

Range=14

Solving (b): The variance

First, we calculate the mean

\bar x = \frac{1}{n} \sum x

\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)

\bar x = \frac{1}{6} *810

\bar x = 135

The variance is calculated as:

\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2

So, we have:

\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]

\sigma^2 =\frac{1}{5}*[162]

\sigma^2 =32.4

Solving (c): The standard deviation

This is calculated as:

\sigma = \sqrt {\sigma^2 }

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Solving (d): With the stated condition, the standard deviation will remain unchanged.

5 0
3 years ago
Convert 5 square root of a into exponential form?
stich3 [128]

Answer:

The answer is:  " 5a^\frac{1}{2} "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " 5\sqrt{a} " .

_______________________________________________

<u>Note the following property of exponents</u>:

\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n .

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So;  to write:  " √a "  ;  <u> </u><em><u>as an exponent</u></em><u> </u> :

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<u>Note</u>:  

" \sqrt{a}  = \sqrt[2]{a} =   \sqrt[2]{a^1} = (\sqrt[2]{a})^1 =  a^\frac{1}{2} " .

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<u>So</u>:

" \sqrt{a}  =  a^\frac{1}{2} "  ;

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<u>And</u>:

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" 5\sqrt{a}  =  5a^\frac{1}{2} " .

________________________________________________

   →   The answer is:  " 5a^\frac{1}{2} " .

________________________________________________

Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

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