Answer:
Step-by-step explanation:
(-3x + 2)(45x + 21) + (-4x + 25) = 50
-135x^2 - 63x + 90x + 42 - 4x + 25 = 50
-135x^2 + 23x + 67 = 50
-135x^2 + 23x + 67 - 50 = 0
-135x^2 + 23x + 17 = 0
quadratic formula : x = (-b ± √b^2 - 4ac)/2a
a = -135, b = 23, c = 17
x = -23 ± √23^2 - 4(-135)(17) / (2(-135)
x = (-23 ±√9709 )/ -270
x = 23/270 ± 1 / 270√9709/270
x = 0.4501 or x = - 0.2798 <=== these answers are rounded
Answer:
Its a i just took the test
Step-by-step explanation:
The graph is in the picture (0,8) (40,0)
Subtract, not add, -0.72 from both sides.
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
