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2 years ago

What is the sum of sqrt -2 and sqrt -18

Mathematics

1 answer:

Assoli18 [71]2 years ago

3 0

Answer:

4i sqrt(2)

Step-by-step explanation:

sqrt(-2) + sqrt(-18)

We know sqrt(ab)= sqrt(a) sqrt(b)

sqrt(-1)sqrt(2) + sqrt(9) sqrt(-2)

sqrt(-1)sqrt(2) + sqrt(9) sqrt(2)sqrt(1)

We know the sqrt(-1) is equal to i

i sqrt(2) +3 sqrt(2) i

i sqrt(2) +3i sqrt(2)

4i sqrt(2)

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What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary

tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

The mean absolute deviation is:

$MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}$

And the population standard deviation is:

$PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}$

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

$M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7$

The mean absolute deviation is:

$MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6$

And the population standard deviation is:

$PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2$

6 0

2 years ago

Does anyone know what the vertex is?

sveticcg [70]

Answer:

A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links). For more information about graph vertices, see the network introduction.

7 0

2 years ago

Someone please help me with this question

mrs_skeptik [129]

Answer:

10x

Step-by-step explanation:

By definition

$(f\codt g)(x)=f(x)\cdot g(x)$

So we just need to multiply the two functions

$(f\cdot g)(x)= f(x)\cdot g(x)\\=\sqrt{2x}\cdot \sqrt{50x}\\=\sqrt{(2x)\cdot (50x)}=\sqrt{100x^2}\\=10\sqrt{x^2}\\=10x \text{ since x is non negative}$