Answer:
13
Step-by-step explanation:
Throughout this pattern, each previous number is adding 3.
Hope this helps! :)
Answer:
9/13 = 0.6923
Step-by-step explanation:
We start by defining
A as event that head was flipped
B1 = event that coin is biased
B2 = event that it is unbiased
P(B1) = 3/5
P(B2) = 2/5
P(A|B1) = 3/4
P(A|B2) = 2/4 = 1/2
When we solve this using bayes theorem we have to find
p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)
= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5
= 0.45/0.45+0.2
= 0.45/0.65
= 0.6923
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
![r=\dfrac{8}{2}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B8%7D%7B2%7D)
![r=4](https://tex.z-dn.net/?f=r%3D4)
The radius of the ball is 4 cm.
The volume of a sphere is:
![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Where r is the radius of the sphere.
Putting
in the above formula, we get
![V=\dfrac{4}{3}(3.14)(4)^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%283.14%29%284%29%5E3)
![V=\dfrac{4}{3}(3.14)(64)](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%283.14%29%2864%29)
![V=267.946667](https://tex.z-dn.net/?f=V%3D267.946667)
![V\approx 267.95](https://tex.z-dn.net/?f=V%5Capprox%20267.95)
Therefore, the volume of the ball is about 267.95.
Take out the 3 , to make the vertex form easier;)