EXPLANATION:
The decimal number that is greater is the one with the largest integer part. If they have the same integer part, the first different decimal place is compared.
Now we are going to order the numbers of the exercise,
The correct order is:
-90.98
-90.9
-90.089
-90
-89.89
Answer:
(a) 180°
(b) 180°
(c) substitution property
(d) m∠3
(e) ∠3
Step-by-step explanation:
Definition: Two angles are supplementary if they add up to 180°
Proof:
By definition of supplementary angles, m∠1 + m∠2 = 180° (a) {∠1 and ∠2 are supplementary - given}
and m∠2 + m∠3 = 180° (b) {∠2 and ∠3 are supplementary - given}
Then, m∠1 + m∠2 = m∠2 + m∠3 by the substitution property (c)
Subtract m∠2 from each side. You get m∠1 = m∠3 (d)
or ∠1 ≅ ∠3 (e)
All of them are true except for a
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
