Answer:
4x² + 4y² + 8xy
Step-by-step explanation:
( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = 2y
( 2x + 2y )²
= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )
= 2²x² + 2²y² + 8xy
= 4x² + 4y² + 8xy
The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.
<h3>How to illustrate the volume?</h3>
Let's assume that the height and radius are 14cm and 7cm. The volume will be:
= πr²h
= 3.14 × 7² × 14
= 2154.04cm³
When the radius and height are reduced to 5cm and 9cm, the volume will be:
= πr²h
= 3.14 × 5² × 9
= 706.5cm³
This illustrates that the volume reduces when the height and radius reduces.
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Answer:
7/12, 2/3, 3/4
Step-by-step explanation:
For every £3 there’s is €4 euros
30/3 = 10
10x4= €40
The number of the families that need to be surveyed will be 2663.
<h3>What is the margin of error?</h3>
Your results will deviate from the actual population value by how many percentage points, as indicated by the margin of error.
We have the following info:
ME = 50 margins of error desired
= 1000 the standard deviation for this case
The margin of error is given by this formula:
(a) 
And on this case, we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b) 
The critical value for the 99% of confidence interval now can be founded using the normal distribution. The significance is
= 0.01. And for this case would be
= 2.58, replacing into formula (b) we got:

So the answer for this case would be n=2663 rounded up to the nearest integer.
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