The table below shows the observed counts in black (first number), expected counts in green (second number), and contribution to
the chi-square statistic in blue (third number). Heart disease No Heart disease Total Anger score Low Anger 53 69.7 4.014 3057 3040.3 0.092 3110 Moderate High Anger Anger 110 106.1 0.145 4621 4624.9 27 4731 14.2 11.557 606 0.0033 0.265 618.8 8284 633 Total 190 O Yes, because the sample size is greater than 30. 8474 Are the conditions met to conduct a chi-square test of association? Yes, because the expected cell counts are greater than 5. O Yes, because there are no extreme outliers in the data. O Yes, because the observed cell counts are greater than 5.
1 answer:
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1. Height of the equilateral triangle is: √3 units
2. Area of the equilateral triangle = √3 units²
3. Area = √3/4 x², when each side is x.
<h3>What is an Equilateral Triangle?</h3>A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.
1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:
h = √(2² - 1²)
h = √(4 - 1)
h = √3
2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)
Area of the equilateral triangle = √3 units²
3. If x is the side length of the equilateral triangle, we would have:
height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x
Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²
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