Hello!
Graphs A and D are reflected, not rotated, so they are not the answer.
Graph C is rotated 180°, so it is not the answer.
This leaves us with B as our final answer.
I hope this helps!
Answer:
Step-by-step explanation:
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Answer:
For this case we can find the critical value with the significance level
and if we find in the right tail of the z distribution we got:

The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Step-by-step explanation:
We have the following dataset given:
represent the households consisted of one person
represent the sample size
estimated proportion of households consisted of one person
We want to test the following hypothesis:
Null hypothesis: 
Alternative hypothesis: 
And for this case we can find the critical value with the significance level
and if we find in the right tail of the z distribution we got:

The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Miguel would have to color one section blue, one section red, and two sections green.
To find the gradient of a line you use this equation: Rise / Run
I am assuming this is a graph where both the x and y-axis increase in value by one.
So first of all, you should draw out this graph.
Second, draw a point at each of the given coordinates.
Now, join these points by drawing a right angle triangle. Put simply, draw a line from the point (4, -7) down until it is on the same level as the point (2, -3), then draw a line across.
Finally, measure the length of both these sides and use them in the equation above.
Let's assume the rise (vertical line) and the run (horizontal line) are 5 and 8 respectively. We can do 5/8 to get a gradient which is 0.625.