La quinta parte de la suma de un cierto numero y 8 es igual a dicho numero disminuido en 3 .Represente simbolicamente

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

The computation is shown below:

According to the question

(X ÷ 5) - 8 = 3

Now

X = (3 + 8) × 5

X = 55

Now in the case when it is decreased by 5

So, the value would be

= 55 - 5

= 50

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7. These values represent the expected number of paintings a person will produce over the next 10 days. 0, 0, 0, 1, 1, 1, 2, 2,

Natasha_Volkova [10]

The mean of a dataset is the average of the dataset.

The mean is 1.5
The standard deviation is 1.58
The median remains unchanged, the mean increases, and the standard deviation decreases when 5 is increased to a larger value

The given parameters are:

$\mathbf{x = 0, 0, 0, 1, 1, 1, 2, 2, 3, 5}$

(a) Mean and Standard deviation

The mean of the dataset is calculated using:

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

So, we have:

$\mathbf{\bar x = \frac{0+ 0+ 0+ 1+ 1+ 1+ 2+ 2+ 3+ 5}{10}}$

$\mathbf{\bar x = \frac{15}{10}}$

$\mathbf{\bar x = 1.5}$

Hence, the mean is 1.5

The standard deviation is calculated using:

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

So, we have:

$\mathbf{\sigma_x = \sqrt{\frac{(0 - 1.5)^2 + (0- 1.5)^2 + (0- 1.5)^2 + (1- 1.5)^2 + (1- 1.5)^2 + (1- 1.5)^2 + (2- 1.5)^2 + (2- 1.5)^2 + (3- 1.5)^2 + (5- 1.5)^2}{10 - 1}}}$