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3 years ago

How do you solve x+6/11=10/11

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

Step-by-step explanation:

x+6/11=10/11

This is a linear equation, because x has no power, so it will be solved by making x the subject of the equation.

Make x the subject

x+6/11=10/11

x=-6/11+10/11

x=10/11-6/11

Since both fractions have the same denominator, the LCM remains 11

x=(10-6)/11

x=4/11

To check if the answer is correct, we substitute x for 4/11 in the equation. And both sides of the equation must be equal

x+6/11=10/11

4/11+6/11=10/11

(4+6)/11=10/11

10/11=10/11

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Answer:

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Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

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where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$s = \sqrt{\dfrac{875.5}{7}} = 11.18$

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Population:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46$

$\text{ Population variance} = \sigma^2 = 109.44$

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