The area of the region bounded by the parabola x = y² + 2 and the line y = x - 8 is; -125/6
<h3>How to find the integral boundary area?</h3>
We want to find the area of the region bounded by the parabola x = y² + 2 and the line y = x - 8.
Let us first try to found the two boundary points.
Put y² + 2 for x in the line equation to get;
y = y² + 2 - 8
y² - y - 6 = 0
From quadratic root calculator, we know that the roots are;
y = -2 and 3
Thus, the area will be the integral;
Area = ∫³₋₂ (y² - y - 6)
Integrating gives;
¹/₃y³ - ¹/₂y - 6y|³₋₂
Plugging in the integral boundary values and solving gives;
Area = -125/6
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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 3 because if you line them up in number order you get
1 1 2 3 3 4 5 and the middle number is 3
Answer:
Step-by-step explanation:
5a = 240.96
5b = 20.08