Use the coordinate geometry formula to solve. You'll definitely get the answer.
For this case, we must find the lateral area of the pentagonal prism shown in the figure.
By definition:

Where:
: Is the lateral area
: It is the perimeter of the base
h: It's the height
Substituting the values we have:

Answer:

5- How do you go to school everyday? Or who picks you up from home to school,
6- Students.
Answer:
<u>For probabilities with replacement</u>




<u>For probabilities without replacement</u>




Step-by-step explanation:
Given



<u>For probabilities with replacement</u>
(a) P(2 Red)
This is calculated as:


So, we have:



(b) P(2 Black)
This is calculated as:


So, we have:



(c) P(1 Red and 1 Black)
This is calculated as:
![P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5BP%28Red%29%5C%20and%5C%20P%28Black%29%5D%5C%20or%5C%20%5BP%28Black%29%5C%20and%5C%20P%28Red%29%5D)
![P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5BP%28Red%29%5C%20%2A%5C%20P%28Black%29%5D%5C%20%2B%5C%20%5BP%28Black%29%5C%20%2A%5C%20P%28Red%29%5D)
![P(1\ Red\ and\ 1\ Black) = 2[P(Red)\ *\ P(Black)]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%202%5BP%28Red%29%5C%20%2A%5C%20P%28Black%29%5D)
So, we have:
![P(1\ Red\ and\ 1\ Black) = 2*[\frac{5}{8} *\frac{3}{8}]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%202%2A%5B%5Cfrac%7B5%7D%7B8%7D%20%2A%5Cfrac%7B3%7D%7B8%7D%5D)


(d) P(1st Red and 2nd Black)
This is calculated as:
![P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)]](https://tex.z-dn.net/?f=P%281st%5C%20Red%5C%20and%5C%202nd%5C%20Black%29%20%3D%20%5BP%28Red%29%5C%20and%5C%20P%28Black%29%5D)


So, we have:


<u></u>
<u>For probabilities without replacement</u>
(a) P(2 Red)
This is calculated as:


So, we have:

<em>We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.</em>



(b) P(2 Black)
This is calculated as:


So, we have:

<em>We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.</em>



(c) P(1 Red and 1 Black)
This is calculated as:
![P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5BP%28Red%29%5C%20and%5C%20P%28Black%29%5D%5C%20or%5C%20%5BP%28Black%29%5C%20and%5C%20P%28Red%29%5D)
![P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5BP%28Red%29%5C%20%2A%5C%20P%28Black%29%5D%5C%20%2B%5C%20%5BP%28Black%29%5C%20%2A%5C%20P%28Red%29%5D)
![P(1\ Red\ and\ 1\ Black) = [\frac{n(Red)}{Total}\ *\ \frac{n(Black)}{Total-1}]\ +\ [\frac{n(Black)}{Total}\ *\ \frac{n(Red)}{Total-1}]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5B%5Cfrac%7Bn%28Red%29%7D%7BTotal%7D%5C%20%2A%5C%20%5Cfrac%7Bn%28Black%29%7D%7BTotal-1%7D%5D%5C%20%2B%5C%20%5B%5Cfrac%7Bn%28Black%29%7D%7BTotal%7D%5C%20%2A%5C%20%5Cfrac%7Bn%28Red%29%7D%7BTotal-1%7D%5D)
So, we have:
![P(1\ Red\ and\ 1\ Black) = [\frac{5}{8} *\frac{3}{7}] + [\frac{3}{8} *\frac{5}{7}]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5B%5Cfrac%7B5%7D%7B8%7D%20%2A%5Cfrac%7B3%7D%7B7%7D%5D%20%2B%20%5B%5Cfrac%7B3%7D%7B8%7D%20%2A%5Cfrac%7B5%7D%7B7%7D%5D)
![P(1\ Red\ and\ 1\ Black) = [\frac{15}{56} ] + [\frac{15}{56}]](https://tex.z-dn.net/?f=P%281%5C%20Red%5C%20and%5C%201%5C%20Black%29%20%3D%20%5B%5Cfrac%7B15%7D%7B56%7D%20%5D%20%2B%20%5B%5Cfrac%7B15%7D%7B56%7D%5D)


(d) P(1st Red and 2nd Black)
This is calculated as:
![P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)]](https://tex.z-dn.net/?f=P%281st%5C%20Red%5C%20and%5C%202nd%5C%20Black%29%20%3D%20%5BP%28Red%29%5C%20and%5C%20P%28Black%29%5D)


So, we have:


Answer:
35hDhgs
Step-by-step explanation:
:+hrhdgkzgwcakgsna is Reddit Diego first Andy showed some eggs degree cost