Answer: The answer is D .
Step-by-step explanation:
X would be -14. i’m hoping that’s what you need
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.
Answer:
<h3>cosθ = c/√1+c²</h3>
Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²