"a proportion" would fill in the blank
Answer:
a. -14pi/9
b.-108°
Step-by-step explanation:
you have to multiply by 180 over pi
Answer:
D) Sixteenth inch
Step-by-step explanation:
Because it is the smallest.
Answer:
![p(x) = {x}^{4} + {x}^{3} - 7 {x}^{2} - x + 6](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%20%7Bx%7D%5E%7B4%7D%20%20%2B%20%20%7Bx%7D%5E%7B3%7D%20%20%20-%207%20%7Bx%7D%5E%7B2%7D%20-%20x%20%2B%206)
Step-by-step explanation:
The polynomial function has zeros
x=1, x=2,x=-3,x=-1
This means the factored form of the polynomial is
![p(x) = (x - 1)(x + 1)(x + 3)(x - 2)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%28x%20-%201%29%28x%20%2B%201%29%28x%20%2B%203%29%28x%20-%202%29)
We expand to get:
![p(x) = ( {x}^{2} - 1)( {x}^{2} + x - 6)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%28%20%7Bx%7D%5E%7B2%7D%20%20%20-%201%29%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20-%206%29)
We expand further to get:
![p(x) = {x}^{2}( {x}^{2} + x - 6) - 1({x}^{2} + x - 6)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%7Bx%7D%5E%7B2%7D%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20-%206%29%20-%201%28%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20-%206%29)
![p(x) = {x}^{4} + {x}^{3} - 6 {x}^{2} - {x}^{2} - x + 6](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%20%7Bx%7D%5E%7B4%7D%20%20%2B%20%20%7Bx%7D%5E%7B3%7D%20%20-%206%20%7Bx%7D%5E%7B2%7D%20%20-%20%20%7Bx%7D%5E%7B2%7D%20%20-%20x%20%2B%206)
This simplifies to:
![p(x) = {x}^{4} + {x}^{3} - 7 {x}^{2} - x + 6](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%20%7Bx%7D%5E%7B4%7D%20%20%2B%20%20%7Bx%7D%5E%7B3%7D%20%20%20-%207%20%7Bx%7D%5E%7B2%7D%20-%20x%20%2B%206)
This is the standard form of the polynomial since it is written in descending powers of x.
Answer:
P = 0.688
Step-by-step explanation:
Since x= 1764, n = 2565
95%. CI= ( 0.670, 0.706)
a) P= x/n
P = 1764/2565
P = 0.688