M.N and O are 60 degree. And you have to know that 30 60 and 90 triangle. if 30 degrees opposite is measuring A , 60 is A square root 3 and the 90's opposite is being 2A. So 90 degree opposite is 16 square root 3 and 30 degree is being 8 square root 3 and 60 is

the height is 24 .
Answer:
The time required to finish the work by both candy and Tim working together = 36.83 minute
Step-by-step explanation:
Time taken by the candy to finish the work
= 85 min
Time taken by the Tim to finish the work
= 65 min
Thus the time taken by both to finish the work = 
Put the values of
and
we get ,
= 
= 
= 36.83 minute
Thus the time required to finish the work by both candy and Tim working together = 36.83 minute
Answer:
Option B. Amplitude =3 midline is y =2.
Step-by-step explanation:
In the graph attached we have to find the amplitude and midline of the periodic function.
Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2
= (5-(-1))/2 = (5+1)/2 =6/2 =3.
Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.
Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.
Answer:
Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.
Step-by-step explanation:
f(g(x)) = f(
) = 
g(f(x)) = g
Answer:
The value of the test statistic is of 0.22.
Step-by-step explanation:
Our test statistic is:

In which X is the sample mean,
is the expected mean,
is the standard deviation(square root of the variance) and n is the size of the sample.
A lumber company is making boards that are 2920.0 millimeters tall.
This means that
.
A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.
This means that
. So



The value of the test statistic is of 0.22.