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
The two answers are the one selected and the choice |x-5| ≤ 1. The steps to solve the other equation are:
|x-5| ≤ 1
x-5 ≤ 1, x-5 ≥ 0
-(x-5) ≤ 6, x-5 is less than 0
x ≤ 6, x ≥ 5
x ≥ 4, x is less than 5
x ∈ [5,6]
x ∈ [4,5]
4 ≤ x ≤ 6
(^which was the original answer^)
The axis of symmetry is 2 and the vertex is (2, 4).
Step-by-step explanation:
The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.
The theorem says that the square of the hypotenuse is equal to the sum of the squares on the other sides.
In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:
a² = b² + c²
where a represents the hypotenuse and b and c the other sides.
Answer:
<h2><em>
$284.29</em></h2>
Step-by-step explanation:
Let the original price be x
The discounted price for a clearance sale = 30% of x
If the price tag after discounting = $199.
Using the relationship to find the original price x
Original price - discounted price = Current price tag after discounting
x - 0.3x = 199
0.7x = 199
Divide both sides by 0.7
0.7x/0.7 = 199/0.7
x = $284.29
<em>Hence the suit's original price is approximately $284.29</em>
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