Answer:
0.026
Step-by-step explanation:
Given the result of 10 coin flips :
T,T,H,T,H,T,T,T,H,T
Number of Heads, H = 3
Number of tails, T = 7
Let :
B = biased coin
B' = non-biased coin
E = event
Probability that it is the biased coin:
P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)
P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')
([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5
0.0000128746 / 0.00050115585
= 0.0263671875
It's A since tangent is just opposite over adjacent, 12 is the opposite and 5 is the adjacent
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19
Answer: 
Step-by-step explanation:
x^2+y^2=r^2 --> subtract x^2 to other side
y^2=r^2-x^2 --> square root both sides
y=sqrt(r^2-x^2)
