Answer:
Measure of side C is 7.14
Step-by-step explanation:
In this question, we are to find the length of the side C.
To get this, we are to employ the use of the cosine formula.
Mathematically, this is calculated as;
c^2 = a^2 +b^2 - 2ab*cos(C)
Where; a = 10 b = 3 and c = 15 degrees
Plugging these values into the equation, we have;
C^2 = 10^3 + 3^2 -2(3)(10)Cos 15
C^2 = 100 + 9 - 57.96
C^2 = 51.04
C = √(51.04)
C = 7.14
Its a one over two chance that the piece of toast won't land on the side with butter
The solution is the point where the lines meet.
The x coordinate is between 0 and 1
The y coordinate is between 2 and 3
The solution is approximately (x,y) = (-0.4, 2.9)
54:40 (if your referring to time)
Answer:
a) P₁ = 0,0294
b) P₂ = 0,097
c) P₃ = 0,1264
P₃ is the total probability of the individual having a positive test result
d) P₄ = 0,232
Step-by-step explanation:
a) Probability that an individual has the disease and has a positive result is P₁ :
P₁ = The probability of having the disease * Probability of + in the test result
P₁ = 0,03 * 0,98
P₁ = 0,0294
b) the probability that an individual does not have the disease and has a positive test result P₂ is:
P₂ = 0,97 * 0,1
P₂ = 0,097
c) P₃ the sum of the two previous probabilities is:
P₃ = 0,0294 + 0,097
P₃ = 0,1264
P₃ is the total probability of the individual having a positive test result
d) Applying the Bayes theorem we can get the probability that an individual with a positive test result has the disease. (P₄ )
Bayes theorem establishes:
P [ A/B ] = P[B/A] * P(A) / P(B)
In this case
P[ with disease/ given (+)tr]
= P [(+)Test/ with disease]* P (with disease)/ P of test +
P₄ = 0,98 * 0,03 / 0,1264
P₄ = 0,232
