HELPPP HELPPPP. iS this function or relation and why?
2 answers:
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Answer:
a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
b) p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the population = 10
Sample size 'n'= 35
Mean of the sample x⁻ = 14.44
Standard deviation of the sample 's' = 4.45
Level of significance ∝ = 0.01
<u><em>Step(ii)</em></u>:-
<em>Null Hypothesis H₀</em> : μ >10
<em>Alternative Hypothesis</em> : H₁ : μ < 10
Test statistic
t = 5.903
Degrees of freedom = n-1 = 35-1 = 34
tabulated value t₀.₀₁,₃₄ = 2.572
The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
<u><em>p- value</em></u> :
p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
Answer:
The ball reached its maximum height of () in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
Now factor out the coefficient of the quadratic term:
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
Now take the balancing term out of the parenthesis:
Simplify:
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is: