Answer:
x=-0.544727
x=2.294727
Step-by-step explanation:
Given quadratic equation to solve:
To solve, use the quadratic formula
x= -b ± b² - 4ac / 2a
Substitute your values for a, b, & c and solve
x= -7 ± 7² - 4·(-4)·5 / 2·(-4)
x= -7 ± 49 - -80/-8
x= -7 ± 129/-8
Then, reduce the problem
x= -7/-8 ± 129/-8
x=-0.544727
x=2.294727
A^2 + B^2 = C^2
6^2 + B^2 = 7^2
36 + B^2 = 49
B^2 = 13
B = 3.61
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Answer:
1. Complimentary angles
2. 3x+20 = 10x-15: x = 5
3. I'm not sure on part 3, sorry.
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
