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vovangra [49]
3 years ago
9

8.

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

50

Step-by-step explanation:

The translation of the question is as shown;

First note that the original number is 35

The sum of 35 and one-fifth part of itself .

= 35 + 1/5(35)

= 35+7

= 42 ... A

sum of one-seventh part of itself and 3 will be;

= 1/7(35) + 3

= 5+3

= 8... B

Adding A and B together wiill give us the final result

A+B = 42+8

A+B = 50

The sum of 35 and one-fifth part of itself added to the sum of one-seventh

part of itself and 3 is therefore equivalent to 50

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Answer:

(a)\ \bar x =20.5

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Step-by-step explanation:

Given

x: 36, 14, 21, 39, 11, 2

Solving (a): The mean of the 6 samples.

This is calculated as:

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

So, we have:

\bar x =\frac{36+ 14+ 21+ 39+ 11+ 2}{6}

\bar x =\frac{123}{6}

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Solving (b): The sample standard deviation.

This is calculated using:

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

So, we have:

\sigma = \sqrt{\frac{(36 - 20.5)^2 + (14 - 20.5)^2 + (21 - 20.5)^2 + (39 - 20.5)^2 + (11 - 20.5)^2 + (2 - 20.5)^2}{6-1}}

\sigma = \sqrt{\frac{1057.5}{5}}

\sigma = \sqrt{211.5}

\sigma = 14.54

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