The answer is shown above
Answer:
5. (x, y) ⇒ (x +5, y +1)
6. (x, y) ⇒ (x +4, y -1)
Step-by-step explanation:
A translation rule will generally have the form ...
(x, y) ⇒ (x +h, y +k)
where (h, k) is the horizontal and vertical distance to the right and up that the figure is being translated.d
5) The image is 5 units right and 1 unit up from the original, so in the above formula, (h, k) = (5, 1) and the translation rule is ...
(x, y) ⇒ (x +5, y +1)
__
6) The image is 4 units right and 1 unit down from the original, so (h, k) = (4, -1) and the transformation rule is ...
(x, y) ⇒ (x +4, y -1)
Answer:
The solution is:

Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So



To find x, we have to apply log to both sides of the equality.
We also have that:

So






Answer: 
Step-by-step explanation:
Given : Sample size :
, which is a small sample (, 30) so we use t-test.
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
The confidence interval for population mean is given by :-

Hence, a 95% confidence interval for the population mean
= 