a complementary angle is 90 degrees, so, if the angle measures 4 more than a complimentary angle, it is 94 degrees.
X - 0.38x = 868......x is the same as 1x
1x - 0.38x = 868
0.62x = 868...now divide both sides by 0.62
x = 868 / 0.62
x = 1400 <==
Answer:
It is going to be bell-shaped(normally distributed), with mean 
and standard deviation 
.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a large sample size can be approximated to a normal distribution with mean and standard deviation 
.
What can we say about the shape of the distribution of the sample mean time?
It is going to be bell-shaped(normally distributed), with mean and standard deviation .
Answer: 70
=====================================
Explanation:
The exterior angles (2x+12) and (2x) have corresponding interior angles 180-(2x+12) and 180-(2x)
Triangle ABC has the following interior angles
A = 112
B = 180 - 2x
C = 180 - (2x+12) = 180-2x-12 = 168-2x
Add up the interior angles for A,B,C and set the result equal to 180. Solve for x
A+B+C = 180
(112)+(180-2x)+(168-2x) = 180
112+180-2x+168-2x = 180
460-4x = 180
-4x = 180-460
-4x = -280
x = -280/(-4)
x = 70
---------------
Side note:
2x = 2*70 = 140 is the exterior angle for B, so 180-140 = 40 is the interior angle for angle B
2x+12 = 2*70+12 = 152 is the exterior angle for C, so 180 - 152 = 28 is the interior angle for C
Add up the interior angles to find that A+B+C = 112+40+28 = 180, so this helps confirm we have the right x value.
