Answer:
Step-by-step explanation:
Using either the critical value rule or the p-value rule, a conclusion can be drawn at a level of significance (alpha)
The null hypothesis: u = hypothesized mean
Alternative hypothesis: u > u0 or u < u0 for a one tailed test
Alternative hypothesis for a two tailed test: u =/ u0
To draw a conclusion by failing to reject the null hypothesis as stated then: using critical value
Observed z score > critical z score for both the one and two tailed test.
Or using p value:
P-value > alpha for a one tailed test
P-value > alpha/2 for a two tailed test
Thus, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis will also not be rejected at the same significance level.
Answer:
The answer is A.
Step-by-step explanation:
Keeping point y as a reference, we know that it was rotated 180 degrees around the origin. I could tell this because y moved from one corner to another, if it was rotated 90 degrees it would move in a different direction. We also know it moved clockwise because if it moved counter clockwise it would have a different location.
We also know that it was shifted across the x-axis because it moved to the right. If it moved downwards it would have moved in the y direction.
Hope this helps.
A - not all 3 triplets can be in the starting lineup
A' - all 3 triplets can be in the starting lineup

Part A:
Given the function

, the absolute maximum or minimum occurs when

.

Using the second derivative test,

Since the second derivative gives a negative number, the given function has a maximum point at

.
And the maximum point is given by:

i.e.

Part B:
Given the function

, the absolute maximum or minimum occurs when

.

Using the second derivative test,

Since the second derivative gives a negative number, the given function has a maximum point at

.
And the maximum point is given by:

i.e. (0.693, 0.25)