Answer:
It is the 3rd choice. It is 4 times as big as the smaller cylinder
Step-by-step explanation:
V = πr2h
r - radius
h - height
π - pi
= π(3)2(10)
enter into a calucaltor and you get 282.74
= π(6)2(10)
enter into a calucaltor and you get 1130.97
Divide 1130 by 282 and you get about 4
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Parentheses
Exponents
Multiple
Divide
Add
Subtract
Answer:
(b) 17 1/3
Step-by-step explanation:
mixed number
A number is written as a whole number and a fraction
Answer:
A
Step-by-step explanation:
We are given:
To make it simpler and more clear, we can let u = sin(x). So:
Now, it becomes obvious that we can factor, which produces:
Cancel:
And substituting back:
Hence, our answer is A.
