3 years ago

Find the constant terms 5x^2+6x+c

Mathematics

1 answer:

baherus [9]3 years ago

8 0

Constant terms are just numbers (no x). The answer is 2

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Answer:

$Mean = 47$

$n = 6$

$s= 16.56$

$\sqrt n = 2.45$

$SEM = 11.55$

Step-by-step explanation:

Given: The above data

Solving (a): Mean of each group

Mean is calculated as:

$Mean = \frac{\sum x}{N}$

$Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}$

$Mean = \frac{846}{18}$

$Mean = 47$

Solving (b): The sample size of each group

This is the number of rows in each group.

Hence:

$n = 6$

Solving (c): Standard deviation (s)

This is calculated as:

$s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}$

So, we have:

$s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}$

$s= \sqrt{\frac{4936}{18}}$

$s= \sqrt{274.22}$

$s= 16.56$

Solving (d): Square root of n

$\sqrt n = \sqrt 6$

$\sqrt n = 2.45$

Solving (e): SEM

This is calculated as:

$SEM = \frac{s}{\sqrt N}$

$SEM = \frac{47}{\sqrt{16.56}}$

$SEM = \frac{47}{4.07}$

$SEM = 11.55$

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3 years ago