<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
radius^2 = (3 * Volume) / (PI * height)
</span></span></span></span><span>radius^2 = (3 * 12) / (PI * 3)
radius^2 = (36)/ (</span><span>9.4247779608) </span><span>
radius^2 = </span>
<span>
<span>
<span>
3.8197186342
</span>
</span>
</span>
radius =
<span>
<span>
<span>
1.95</span></span></span>
X+20 because x= origanal amount +20 more
Answer: the answer is B, or P(B|C)=9/24=0.38
Step-by-step explanation:
If you look at the table, you can see that 9 is where BC is. So, 9 is the numerator. The denominator is 24 because that is the total number.
Also, I got this answer correct on Edge
Answer:
y=-5x+12
Step-by-step explanation:
just use a graphing calculator and basic knowledge of slope intercept form
Answer:
![P(A\textrm{ and }B)=\frac{3}{14}](https://tex.z-dn.net/?f=P%28A%5Ctextrm%7B%20and%20%7DB%29%3D%5Cfrac%7B3%7D%7B14%7D)
Step-by-step explanation:
Given:
![P(A)=\frac{4}{7}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7B4%7D%7B7%7D)
![P(B|A)=\frac{3}{8}](https://tex.z-dn.net/?f=P%28B%7CA%29%3D%5Cfrac%7B3%7D%7B8%7D)
We know that, conditional probability of B given that A has occurred is given as:
. Expressing this in terms of
, we get
![P(A\cap B)=P(B|A)\times P(A)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28B%7CA%29%5Ctimes%20P%28A%29)
Plug in the known values and solve for
. This gives,
![P(A\cap B)=P(B|A)\times P(A)\\P(A\cap B)=\frac{3}{8}\times \frac{4}{7}\\P(A\cap B)=\frac{12}{56}=\frac{3}{14}](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28B%7CA%29%5Ctimes%20P%28A%29%5C%5CP%28A%5Ccap%20B%29%3D%5Cfrac%7B3%7D%7B8%7D%5Ctimes%20%5Cfrac%7B4%7D%7B7%7D%5C%5CP%28A%5Ccap%20B%29%3D%5Cfrac%7B12%7D%7B56%7D%3D%5Cfrac%7B3%7D%7B14%7D)
Therefore, the probability of events A and B occurring is
.