<h3><em>= 3x - 2 + 3x - 9 + 4x - 9 = 180 ( Angle sum property )</em></h3><h3><em>= 3x + 3x + 4x - 2 - 9 - 9 = 180 </em></h3><h3><em>= 10x - 20 = 180 </em></h3><h3><em>= 10x = 180 + 20 </em></h3><h3><em>= 10x = 200</em></h3><h3><em>= x = 200 / 10 </em></h3><h3><em>= x = 20</em></h3><h3><em>therefore the angle's are,</em></h3><h3><em>58, 51, 71.</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>
Answer:
a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79
b) $0.57
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 the margin of error M as such
In which
is the standard deviation of the population and n is the size of the sample.
So the answer for b) is $0.57.
The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65
The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79
The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79
Part A: Chose some value for x, that means any amount of books to print for example 100 books, so x=100
Replace x=100 in C(x) and solve:
C(100)=3.5*100+1200=1550
Part B: Replace C(x) by 1900 and solve for x from the given equation:
1900=3.5x+1200
3.5x=1900-1200
x=700/3.5= 200
Part C: the statement C(20)=1270 means that 1270 is the cost for printing 20 books.
Part E: C(40.5)=1341.75 I think this statement is incorrect given the context because x means number of books to print so this value must be an integer number.