Answer:
da answer iz two cause wen u add one plus one u get answer two
Step-by-step explanation:
let mi hope dat it useful
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:
The required number of ropes is 9.
Step-by-step explanation:
The length of rope is 65 ft.
The distance to the base of cliff was 585 ft.
Let the number of ropes or same lengths did it take climber to reach descent be x.

Divide both sides of 65.


Therefore the required number of ropes is 9.
Hello from MrBillDoesmath!
The questions are a bit unclear but here's my best shot
Answer:
a. "c" = 0
As x=0 is a root of f(x) = ax^2 + bx + c (I think this is the equation you had in mind. Please correct me if I'm wrong)
a(0)^2 + b(0) + c = f(0) = 0.
As any number times 0 is 0 this is equivalent to
0 + 0 + c = 0. So c = 0!
b. From part a (above) f(x) = ax^2 + bx. Suppose x is an extremely large number (positive or negative). If "a" is positive then f(x) is a large positive number so f(x) is large and looks like the letter "U". But if "a" is negative and x large (positive or negative), then f(x) is a large negative number, meaning the function looks like an upside-down "u". IN short, f(x) is a parabola that opens upward if a > 0 and opens downward if a < 0.
Given that f(x) = ax^2 + bx = x(ax+b), f(x) = 0 when x = 0 or (ax + b) = 0. The latter happens when ax = -b or x = - (b/a)
c. ax^2 + bx = 0
Ragards, Mr B.