Answer:
113.1 in.³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3) × 3.14159 × (3 in.)³
V = 113.1 in.³
Answer:
y= -1/9(x-1)^2 +2
Step-by-step explanation:
The vertex is at (1,2) and another point is at (-2,1).
We know the vertex form of a parabola is
y= a(x-h)^2 +k where (h,k) is the vertex
Substituting the vertex in
y= a(x-1)^2 +2
We have another point, (-2,1)
Substitue this in with x=-2 and y =1. This will let us find a
1 = a(-2-1)^2 +2
1 = a (-3)^2 +2
1 = a*9 +2
Subtract 2 from each side
1-2 = 9a +2-2
-1 = 9a
Divide by 9
-1/9 = 9a/9
-1/9 =a
Putting this back into the equation
y= -1/9(x-1)^2 +2
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
--- Null hypothesis
---- Alternate hypothesis
Solving (a): The test statistic
This is calculated as:
So, we have:
Solving (b): The p value
This is calculated as:
So, we have:
Look up the z probability in the z score table. So, the expression becomes
Solving (c): With , what is the conclusion based on the p value
We have:
In (b), we have:
By comparison:
i.e.
So, we fail to reject the null hypothesis.
