Answer:
(x, y) ⇒ (x -7, y)
Step-by-step explanation:
The y-coordinates are unchanged. Each x-coordinate of the image is 7 units less than the corresponding pre-image coordinate. As a rule, this is ...
(x, y) ⇒ (x -7, y)
1 hour = 60 minutes
13/60 = 0.2
answer: 0.2<span>m/min
</span>
I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
30 square units is what i got
Answer:
C) H0:μd=0 and Ha:μd≠
0
Null hypothesis:
Alternative hypothesis: 
Step-by-step explanation:
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=value for the first shop , y = value for the second shop
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis: 
Or equivalently :
Null hypothesis:
Alternative hypothesis: 
Since we define the difference
and we obtain this:
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a two tailed test the p value is given by:
C) H0:μd=0 and Ha:μd≠
0