Answer:
option B.
About 16% of the books have fewer than 150 pages
Step-by-step explanation:
Since we are dealing with a normal distribution
68.27% of the values will fall in the range with the standard deviation
(180-30 , 180+30) = (150, 210)
Approximately 15.86% of the values will be higher than 210
and the rest 15.86% will be lower than 150
So the correct answer is option B.
About 16% of the books have fewer than 150 pages
Answer:
A
Step-by-step explanation:
since 36=6² and the other option is not square of integer
![x = 2 \\ y = 7](https://tex.z-dn.net/?f=x%20%3D%202%20%20%5C%5C%20y%20%3D%207)
is the answer to:
![y = 11 - 2x \\ 4x - 3y = - 13](https://tex.z-dn.net/?f=y%20%3D%2011%20-%202x%20%5C%5C%204x%20-%203y%20%3D%20%20-%2013)
_________________________________________
![x = 5 \\ y = 2](https://tex.z-dn.net/?f=x%20%3D%205%20%5C%5C%20y%20%3D%202)
is the answer to:
![2x + y = 12 \\ x = 9 - 2y](https://tex.z-dn.net/?f=2x%20%2B%20y%20%3D%2012%20%5C%5C%20x%20%3D%209%20-%202y)
_________________________________________
![x = 3 \\ y = 5](https://tex.z-dn.net/?f=x%20%3D%203%20%5C%5C%20y%20%3D%205)
is the answer to:
![2x + y = 11 \\ x - 2y = - 7](https://tex.z-dn.net/?f=2x%20%2B%20y%20%3D%2011%20%5C%5C%20x%20-%202y%20%3D%20%20-%207)
_________________________________________
![x = 7 \\ y = 3](https://tex.z-dn.net/?f=x%20%3D%207%20%5C%5C%20y%20%3D%203)
is the answer to:
![x + 3y = 16 \\ 2x - y = 11](https://tex.z-dn.net/?f=x%20%2B%203y%20%3D%2016%20%5C%5C%202x%20-%20y%20%3D%2011)
Right angle (angle p) = 90°
supplementary means total equals 180°
so 90° + q = 180°
subtract 90° from both sides
q = 90°
Answer:
![\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D-3%5C%20and%5C%20y%3D-11%5Cto%28-3%2C%5C%20-11%29%7D)
Step-by-step explanation:
![\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}](https://tex.z-dn.net/?f=%5Cunderline%7B%2B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D-6x%2By%3D7%5C%5C3x-y%3D2%5Cend%7Barray%7D%5Cright%7D%5Cqquad%5Ctext%7Badd%20both%20sides%20of%20the%20equations%7D%5C%5C%5C%5C.%5Cqquad-3x%3D9%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-3%29%7D%5C%5C.%5Cqquad%5Cboxed%7Bx%3D-3%7D%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20x%20to%20the%20first%20equation%3A%7D%5C%5C%5C%5C-6%28-3%29%2By%3D7%5C%5C18%2By%3D7%5Cqquad%5Ctext%7Bsubtract%2018%20from%20both%20sides%7D%5C%5C%5Cboxed%7By%3D-11%7D)