Answer:
midpoint P(6, 4)
Step-by-step explanation:
![\frac{x1 + x2}{2} \\ \frac{y1 + y2}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%20%20%5C%5C%20%20%5Cfrac%7By1%20%2B%20y2%7D%7B2%7D%20)
![\frac{9 + 3}{2} = 6 = x \: mid \: point \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%20%2B%203%7D%7B2%7D%20%20%3D%206%20%3D%20x%20%5C%3A%20mid%20%5C%3A%20point%20%5C%5C%20)
![\frac{6 + 2}{2} = 4 = y \: mid \: point](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%20%2B%202%7D%7B2%7D%20%20%3D%204%20%3D%20y%20%5C%3A%20mid%20%5C%3A%20point)
A. is not
b. is
c. is
d. is
e. i don't think it is
f. is
Angles could be expressed in degrees or in radians. The relationship between the two could be easily explained by illustrating a circle. A semi-circle has a total angle of 180°. This is equal to a π radians. So if the angle is π/2, in degrees, that would be 180/2 = 90°.
Then, determining the cosine 90° in a calculator would yield an answer of zero.
The answer is 13 measures because there are 8 beats per one measure so 104/8=13
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
![Y_n\rightarrow N(\mu, \sigma^2)](https://tex.z-dn.net/?f=Y_n%5Crightarrow%20N%28%5Cmu%2C%20%5Csigma%5E2%29)
![\mu = 40n](https://tex.z-dn.net/?f=%5Cmu%20%3D%2040n)
![\sigma^2=100n](https://tex.z-dn.net/?f=%5Csigma%5E2%3D100n)
![n=20](https://tex.z-dn.net/?f=n%3D20)
then,
The required probability will be:
= ![P(Y_{20}>1000)](https://tex.z-dn.net/?f=P%28Y_%7B20%7D%3E1000%29)
= ![P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )](https://tex.z-dn.net/?f=P%28%5Cfrac%7BY_%7B20%7D-%5Cmu%7D%7B%5Csigma%7D%20%3E%5Cfrac%7B1000-40%5Ctimes%2020%7D%7B%5Csqrt%7B100%5Ctimes%2020%7D%20%7D%20%29)
= ![P(Z>\frac{1000-800}{44.7214} )](https://tex.z-dn.net/?f=P%28Z%3E%5Cfrac%7B1000-800%7D%7B44.7214%7D%20%29)
= ![P(Z>\frac{200}{44.7214} )](https://tex.z-dn.net/?f=P%28Z%3E%5Cfrac%7B200%7D%7B44.7214%7D%20%29)
= ![P(Z>4.47)](https://tex.z-dn.net/?f=P%28Z%3E4.47%29)
By using the table, we get
= ![0.0000039110](https://tex.z-dn.net/?f=0.0000039110)