Answer:
The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is
![P( X > 72) =0.0015233](https://tex.z-dn.net/?f=P%28%20X%20%3E%20%2072%29%20%3D0.0015233)
Step-by-step explanation:
From the question we are told that
The mean is ![\mu = 64 \ inches](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%2064%20%5C%20inches)
The standard deviation is ![\sigma = 2.7 \ inches](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%202.7%20%5C%20%20inches)
Generally 6 feet is equivalent to 6 * 12 = 72 inches
Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as
![P( X > 72) = P(\frac{X - \mu }{\sigma } > \frac{72 - 64 }{ 2.7 } )](https://tex.z-dn.net/?f=P%28%20X%20%3E%20%2072%29%20%3D%20%20P%28%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3E%20%20%5Cfrac%7B72%20%20-%2064%20%7D%7B%202.7%20%7D%20%29)
![\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%20%28The%20%20%5C%20standardized%20%5C%20%20value%5C%20%20of%20%20%5C%20X%20%29)
![P( X > 72) = P(Z > 2.963 )](https://tex.z-dn.net/?f=P%28%20X%20%3E%20%2072%29%20%3D%20%20P%28Z%20%3E%20%202.963%20%29)
From the z-table
The area under the normal curve to the right corresponding to 2.963 is
![P(Z > 2.963 ) = 0.0015233](https://tex.z-dn.net/?f=P%28Z%20%3E%20%202.963%20%29%20%3D%200.0015233)
=> ![P( X > 72) =0.0015233](https://tex.z-dn.net/?f=P%28%20X%20%3E%20%2072%29%20%3D0.0015233)
Answer:
8 = b - 1 + 8b
group like terms
8 + 1 = b + 8b
9 = 9b cus b standing alone me 1b
divide both side by 9
<u>9</u><u> </u> = <u>9</u><u>b</u>
9 9
b = 1
Answer:
x = 3 ± ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Step-by-step explanation:
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = 4 + 9
(x - 3)² = 13 ( take square root of both sides )
x - 3 = ±
( add 3 to both sides )
x = 3 ± ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Answer:
mb = 30
Step-by-step explanation:
i got it from me school