Find least common multiple of 12, 2, and 4.

With the triangular coordinate system, you can visualize the relationships between the components in a three-component mixture. ... Any points along the edges of the triangle represent blends where one of the components is absent.

7 0

2 years ago

How many acute angles are in an acute triangle? a.3 b.2 c.1 d.0

NeX [460]

Answer: a.) 3

Step-by-step explanation: An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°).

3 0

3 years ago

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Dora calculated the mean absolute deviation for the data set 35, 16, 23, 42, and 19. Her work is shown below.

Crazy boy [7]

Answer:

The calculation in step 3 is wrong

Step-by-step explanation:

1) The mean of a dataset is given by the sum of the values of the dataset divided by the number of values.

In this problem, the dataset is

35, 16, 23, 42, 19

And the number of data is

N = 5

So the mean is

$\bar x=\frac{35+16+23+42+19}{5}=27$

So, step 1 is correct.

2)

The absolute deviation of a value in the dataset is the absolute value of its difference from the mean value:

$\sigma_i = |x_i-\bar x|$

Since here the mean value is

$\bar x=27$

Then for each of the values in this dataset, we have:

$\sigma_{1}=|35-27|=8\\\sigma_{2}=|16-27|=11\\\sigma_{3}=|23-27|=4\\\sigma_{4}=|42-27|=15\\\sigma_{5}=|19-27|=8$

So calculations in step 2 are also correct.

3)

The mean absolute deviation is given by the sum of the absolute deviations for each data divided by the number of values in the dataset.

Therefore in this problem, it is:

$\bar \sigma = \frac{\sum \sigma_i}{N}=\frac{8+11+4+15+8}{5}=9.2$

While the result reported by Dora is 9.5: therefore, this step is not correct.

5 0

3 years ago

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