Answer:
See explanation.
Step-by-step explanation:
Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.
Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

Answer:
The mean is 40.35 and the standard deviation is 0.13.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.
Sample of 10:
By the Central Limit Theorem, the mean is 40.35, and the standard deviation is 
The mean is 40.35 and the standard deviation is 0.13.
Answer:
i) The approximate solutions are:
,
.
ii) The approximate solutions are:
,
.
Step-by-step explanation:
i) The best approach to estimate graphically the solution of
is graphing the following system of equations:
(1)
(2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are:
,
.
ii) The best approach to estimate graphically the solution of
is graphing the following system of equations:
(1)
(2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are:
,
.
Answer:
.0000416
Step-by-step explanation:
Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left
Answer:
Alternate interior angles are on opposite sides of the transversal, and between the parallel lines
Step-by-step explanation: