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3 years ago

What’s the answer to X/2+21=36

Mathematics

2 answers:

marshall27 [118]3 years ago

6 0

Answer:

x/2 + 21 = 36

First we get rid of constants to isolate the variable.

In order to do that we must do the inverse operation.

Inverse operation of addition is subtraction.

-21 -21(subtracting 21 from both sides, whatever we do to the left side we do it to the right side too)

x/2 = 15

inverse property of division is multiplication

x2 x2

X = 30

Vladimir79 [104]3 years ago

3 0

Answer:

X=28

Step-by-step explanation:

X/2 + 21 = 36

X/2 = 36-21

X/2=14

X=14*2

X=28

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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:

$Range=141-127$

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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:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

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

5 0

3 years ago

I need answers for 4 and 6

mafiozo [28]

Hello! I can help you with this!

4.
a. $100
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