Answer: 453
Step-by-step explanation:
To solve the question, we have to calculate the margin of error which will be:
= (61.7% - 52.3%) / 2
= 9.4% / 2
= 4.7%
4.7% = 1 / ✓n
0.047 = 1 / ✓n
✓n = 1 / 0.047
✓n = 21.28
Square both sides to.gwt the value of n
n = 21.28²
n = 452.69
n = 453
453 residents were surveyed
A^2 + 3b + c - 2d
(3)^2 + 3(8) + (2) - 2(5)
9 + 24 + 2 - 10 = 25
Answer:
2.5
Step-by-step explanation:
When a variable is next to a number (coefficient) it means you need to multiply. In this equation 6x are next to eachother.
Because we don't know what x is, we have to work backwards.
The opposite of multiplying is dividing, so here we can do...
15/6 and that equals 2.5
To check you replace x with 2.5 like so,
6(2.5)= 15 and it is true!
Hope this helps and have a great day!
Answer:
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Step-by-step explanation:
Required
Show that:

To make the proof easier, I've added a screenshot of the triangle.
We make use of alternate angles to complete the proof.
In the attached triangle, the two angles beside
are alternate to
and 
i.e.


Using angle on a straight line theorem, we have:

Substitute values for (1) and (2)

Rewrite as:
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<em> -- proved</em>
I'm pretty sure y=1.3=0.25x