Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Three heads.
- Event B: Fair coin.
The probability associated with 3 heads are:
out of 0.5(fair coin).- 1 out of 0.5(biased).
Hence:
The probability of 3 heads and the fair coin is:
Then, the conditional probability is:
0.1 = 10% probability that the chosen coin was the fair coin.
A similar problem is given at brainly.com/question/14398287
I was so in love with this girl I hate the way I loved her I gave her to much love I’m sorry lord I failed you not everyone is ready for me yet ✍
<span> Let x = the width
Let 2x = the length
Let h = the height
</span>then vol = x*2x*h. So we have 2x^2*h = 24
h=24/(2*x^2)=12/x^2
Surface area: two ends + 1 bottom + 2 sides (no top)
S.A. = 2(x*h) + 1(2x*x) + 2(2x*h)
S.A. = 2xh + 2x^2 + 4xh<span> S.A. = 2x^2 + 6xh
</span>Replace h with 12/x^2
S.A = 2x^2 + 6x(12/x^2)
S.A = 2x^2 + 6(12/x)
S.A = 2x^2 + (72/x)
Graph this equation to find the value of x for minimum material
Min surface area when x = 3.0 is the width<span> then
</span>2(3) = 6 is the length
Find the height:
h=12/(3.0)^2
h=1.33
Box dimensions for min surface area: 3.0 by 6 by 1.33; much better numbers
Check the vol of these dimensions: 3.0*6*1.33 ~ 24
graphic attachment
We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
<h3>
Daylight time June trough to December</h3>
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as
A=2
vertical shift =
vertical shift =
vertical shift =1
Therefore, the time is given as
Where
Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
brainly.com/question/14375099
