Answer:
3 x^2 - x + -1
Step-by-step explanation:
Simplify the following:
-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4
Factor -1 out of -2 x^2 + 4 x - 3:
--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4
(-1)^2 = 1:
2 x^2 - 4 x + 3 + x^2 + 3 x - 4
Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):
(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)
x^2 + 2 x^2 = 3 x^2:
3 x^2 + (3 x - 4 x) + (-4 + 3)
3 x - 4 x = -x:
3 x^2 + -x + (-4 + 3)
3 - 4 = -1:
Answer: 3 x^2 - x + -1
Answer:
See steps below
Step-by-step explanation:
a)
The cdf associated with f is
for 0<x<1
<h3>See picture 1
</h3>
The median is a point x such that
F(x) = ½
so, the median is
![\bf 1-(1-x)^3=1/2\rightarrow (1-x)^3=1/2\rightarrow \boxed{x=1-\sqrt[3]{2}}](https://tex.z-dn.net/?f=%5Cbf%201-%281-x%29%5E3%3D1%2F2%5Crightarrow%20%281-x%29%5E3%3D1%2F2%5Crightarrow%20%5Cboxed%7Bx%3D1-%5Csqrt%5B3%5D%7B2%7D%7D)
The 25th percentile equals the 1st quartile and is a point x such
F(x) = ¼
and the 25th percentile is
![\bf 1-(1-x)^3=1/4\rightarrow (1-x)^3=3/4\rightarrow \boxed{x=1-\sqrt[3]{3/4}}](https://tex.z-dn.net/?f=%5Cbf%201-%281-x%29%5E3%3D1%2F4%5Crightarrow%20%281-x%29%5E3%3D3%2F4%5Crightarrow%20%5Cboxed%7Bx%3D1-%5Csqrt%5B3%5D%7B3%2F4%7D%7D)
b)
The cdf associated with f is
for x>1
<h3>See picture 2
</h3>
The median is
The 25th percentile is
c)
f(x) = 1/3 for 0<x<1 or 2<x<4
The cdf associated with f is
for 0<x<1
for 2<x<4
<h3>See picture 3
</h3>
The median is
The 25th percentile is
Answer:
A commom denominators
Step-by-step explanation:
Answer:
8/10 goes down to 4/5 but the greater fraction is 3/5
Step-by-step explanation:
The least common multiple of 4 and 14 is 28
