The answer is y=120
First you simplify both sides of the equation then u isolate the variable.
Answer:
The confidence interval at 95 % for which we assume that it contains the true value is (0.0962, 0.1838).
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 0.14 - 0.0438 = 0.0962
The upper end of the interval is the mean added to M. So it is 0.14 + 0.0438 = 0.1838
The confidence interval at 95 % for which we assume that it contains the true value is (0.0962, 0.1838).
Answer:
30/x=100/40
(30/x)*x=(100/40)*x - you multiply both sides of the equation by x
30=2.5*x - you divide both sides of the equation by (2.5) to get x
30/2.5=x
12=x
x=12
now we have:
40% of 30=12
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
3x+12-8x=19+2x (combine liked terms)
-5x+12+19=2x (move variable to the left-hand side and change its sign)
-5x-2x+12=19 (combine liked terms)
-7x=19-12 (divide both sides of the equation by -7)
x=-1