Answer:
5x-8=2x-6
Step-by-step explanation:
It’s a property but I forgot which one.
Because it is closer to 0 and -1
f(x) = 3x +2
f(2) = 3(2) + 2 = 8
Now
f(x) = (2x -7) / 3
let f(x) = y and f(y) = x;
y = (2x -7) / 3
x = (3y + 7) / 2
So
f(y) = (3y + 7) / 2
this f(y) is the inverse of f(x); hence
f^-1 (x) = (3x + 7) / 2
Now f^-1(3) = (9+7) / 2 = 8
For the third and last part,
2y + 14 = 4y – 2
2y = 16
y = 8
<span>Hence all the three
parts gives the same results.</span>
Answer:
(1)
The confidence interval for this case would be:

And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value
would be lower. So then the best option would be:
a. becomes narrower
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean
s represent the sample standard deviation
n represent the sample size
Solution
The confidence interval for the mean is given by the following formula:
(1)
The confidence interval for this case would be:

And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value
would be lower. So then the best option would be:
a. becomes narrower
We can rewrite the equation into:
(x-2)^2+y^2=1
Therefore the circle's centre is that (2,0). Since the circle's centre lies on the x axis, the circle must intersect the x-axis.