By Pythagoras AB^2 = 12^2 - 6^2 = 108
AB = sqrt 108 = 10.39 to nearest hundredth
The perpendicular from M to DC will be parallel and equal to AB so it = 10.39.
Also AB^2 = CB * DB
108 = 6 * DB
DB = 108/6 = 18
so DC = 18-6 = 12
MD^2 = (1/2*12)^2 + 108 = 144
so MD = 12
Given:
Area of a sector = 64 m²
The central angle is
.
To find:
The radius or the value of r.
Solution:
Area of a sector is:

Where, r is the radius of the circle and
is the central angle of the sector in radian.
Putting
, we get




Taking square root on both sides, we get


Therefore, the value of r is
m.
Answer:
The appropriate solution is:
(a) 0.1056
(b) 0
(c) 0.9544
Step-by-step explanation:
The given values are:
Mean,

Standard deviation,

(a)
⇒ 



By using the table, we get


(b)
According to the question, the values are:
= 64
= 75
Now,
⇒
= 
= 
= 
= 
⇒ 
![=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]](https://tex.z-dn.net/?f=%3D1%20-%20P%5B%5Cfrac%7B%28%5Cbar%20x-%5Cmu_%5Cbar%20x%29%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B80-75%7D%7B0.5%7D%20%20%5D)

By using the table, we get


(c)
As we know,
⇒
= 
= 
= 
= 
then,
= 
= ![P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B74-75%7D%7B0.5%7D%20%3C%20%5Cfrac%7B%5Cbar%20x-%5Cmu%20%5Cbar%20x%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B76-75%7D%7B0.5%7D%20%5D)
= 
=
By using the table, we get
= 
= 
Question 1: X = 2/3
Question 2: X = 4
Question 3: X = 48
Question 4: ?
Question 5: X = 1
Question 6: Yes
Question 7: No
Question 8: No
Question 9: Kara (Danvers is always right) < ignore that
Question 10: X = 0.5
Hope this helped!