Answer:
x=6
Step-by-step explanation:
Let us expand the left side:
3x+12 = 2x+ 4x -6
Let us then simplify the right side:
3x+12=6x-6
We can now put the same variables on one side to isolate x:
12+6=6x-3x
18=3x
x=6
<em>I hope this helped! :)</em>
Answer:
A sample size of 385 is needed.
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
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that 
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So





Rounding up:
A sample size of 385 is needed.
Answer: True
Step-by-step explanation:
I already took this part of the quiz and this was the right answer
I think its 11 because 4, 11's adds to 44
20. qr is congruent to pn so pn is 20