Here is the graph? I hope this helps.
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
Yes, he is correct, using the distributive property you get the same answer
Answer:
27
Step-by-step explanation:
Let the radius of the smaller sphere is x.
Then the radius of the larger sphere is 3x.
The volume of a sphere is given by
Hence, the volume of the smaller sphere is
And the volume of the larger sphere is
Divide both volumes, we get
Hence, the volume of the smaller sphere is 27 times smaller than the volume of the larger sphere.
Answer:
1,728,000
Step-by-step explanation:
there are 86400 seconds in a day so you have to multiply 86400 times 20