Question

if var(x) = 5 and y = 5x + 6 , then var(y) is = ?​

Answer 1

Answer:

=5(5)+6

=25+6

=31

Step-by-step explanation:

y=31

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Answer 2

If var(x) = 5 and y = 5x + 6 , then var(y) = 125

Given :

var(x) = 5 and y = 5x + 6

To find :

The value of var(y)

Formula :

$\sf var(ax + b) = {a}^{2} \: var(x)$

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that var(x) = 5 and y = 5x + 6

Step 2 of 2 :

Find var(y)

$\sf var(y)$

$\sf = var(5x + 6)$

$\sf = {5}^{2} \: var(x )$

$\sf = 25\: var(x )$

$\sf = 25 \times 5$

$\sf = 125$

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