Answer:
The null hypothesis is that all the different teaching methods have the same average test scores.
H0: μ1 = μ2 = μ3 = μ4 = μ5
The alternative hypothesis is that at least one of the teaching methods have a different mean.
Ha: at least one mean is different. (μ1 ≠ μi)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above, let μ represent the average test scores for the teaching methods:
The null hypothesis is that all the different teaching methods have the same average test scores.
H0: μ1 = μ2 = μ3 = μ4 = μ5
The alternative hypothesis is that at least one of the teaching methods have a different mean.
Ha: at least one mean is different. (μ1 ≠ μi)
Answer:
The vertex is the point (6,-31)
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex represent a minimum
Convert to vertex form
Complete the square
Rewrite as perfect squares
-----> equation in vertex form
therefore
The vertex is the point (6,-31)
X-intercept: (3.5,0)
Y-intercept: (2.5,0)
Put the value of x to the inequality:
Area of a circle = PI*radius^2
10 inch diameter = 5 inch radius
Area = PI* 5^2
Area =
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78.5398163397
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Answer is B)
