Yes, they are. Treat ratios like fractions, simplify them the same way. In 6/36, the GCF (Greatest Common Factor) of the numerator and the denominator is six. So, we divide both sides by six. This gives us 1/6, which is still the same fraction. (Making it proportional)
All the answers are labeled in picture below. Good luck.
Answer:
Null hypothesis: <em>H₀</em>: <em>p</em>₁ = <em>p</em>₂.
Alternate hypothesis: <em>H₀</em>: <em>p</em>₁ ≠ <em>p</em>₂.
Step-by-step explanation:
A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.
Let <em>p</em>₁ = the proportion of unemployed people who had relationship problems and <em>p</em>₂ = the proportion of underemployed people who had relationship problems.
A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.
Use a <em>z</em>-test for the test statistic.
The hypothesis test is:
<em>H₀</em>: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ ≠ <em>p</em>₂.
The answer is translation.
Translation: moves to another location without changing in any other way.
Answer: Angle bisectors
Step-by-step explanation:
The incenter is the point forming the origin of a circle inscribed inside the triangle. Like the centroid, the incenter is always inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.