Answer:
x = 11
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FEB and ∠ DEB are adjacent angles and supplementary, thus
∠ FEB = 180 - 4x , so
180 - 4x + x = 147, that is
180 - 3x = 147 ( subtract 180 from both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
Answer: 0.22
Step-by-step explanation:
We know that the best point estimate for the difference between two population mean is the difference between their sample means.
Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.
Let A denotes the population of upperclassmen and B denotes the population of underclassmen .


Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-

Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22
4(c+12)=2c+18
4c+12c=2c+18
4c-2c=18-48
2c=-30
c= -30/2
c= -15
Part A:
I have attached the graph of this system of inequalities.
Part B:
Plug in (8,10) into both equations
10 > 3(8) + 10
10 > 24 + 10
10 > 34
This is false!
10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7
This is also false!
So,
(8,10) is not included in the solution area for the system.
9*10^7=90000000
There are ninety million possible combinations. :)