Answer:
D
Step-by-step explanation:

Well, if she wants to buy twice as many burgers as sodas, and her limit is $35, the inequality would have to be, how ever many burgers she can buy, while buying half that amount, but buying sodas instead..? I’m sorry if I’m confusing you more
Answer:
16
Step-by-step explanation:
Using the rule of exponents/ radicals
=
, then
=
, then
= 8 ( cube both sides )
n² = 8³ ( take the square root of both sides )
n = 
= 
= 
=
× 
= 16
Answer:
1.6 - 1.4 = 0.2
0.2 / 1.4 = 0.14 = 14%
Step-by-step explanation:
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:

