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vichka [17]
3 years ago
14

1" title="5 \times \frac{9}{1} = 51 x \div 9 - 3" alt="5 \times \frac{9}{1} = 51 x \div 9 - 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0
5 \times \dfrac{9}{1}  =  51 x \div 9 - 3

\dfrac{5}{1} \times \dfrac{9}{1} = \dfrac{51x}{9}- 3

45 =   \dfrac{51x}{9}  - 3

45 + 3= \dfrac{51x}{9}

48 = \dfrac{51x}{9}

51 x = 48 \times 9


51 x = 432

x =  \dfrac{432}{17}

x =  8\dfrac{8}{17}
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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 }

\sigma = \sqrt {32.4}

\sigma = 5 .7 --- approximately

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

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2 years ago
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7 0
2 years ago
Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. the length of the yard is 10 feet
Anna35 [415]
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
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</span><span>x=6 ft. and 2x+10=12+10=22 ft.
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</span><span>Answer: The length of the yard is 22 feet</span>


4 0
3 years ago
Read 2 more answers
A number is divided in the ratio 7:4.If the first part is 105,find the number
Gre4nikov [31]
105/7 = 15
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