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ivann1987 [24]
3 years ago
5

Method for constructing the circle that inscribed a triangle

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

Radius = incenter → peprpendicular to one side of the triangle

Step-by-step explanation:

  1. Bisect one of the angles
  2. Bisect another angle
  3. Where those two lines cross is the center of the inscribed circle, called the incenter
  4. Construct a perpendicular from the center point to one side of the triangle
  5. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!
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The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

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From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

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