The compound inequality that gives the normal range for the pH values of lemon juice is given by:
A compound inequality is modeled by:
Which means that x is greater than a and less than b. In this problem, the pH is greater than 1.5 and less than 4, hence the inequality is given by:
More can be learned about compound inequalities at brainly.com/question/24528399
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Answer:
A=41
B=20
C=8
D=3
Step-by-step explanation:
You need to first of all fill the intersection (yellow region). This is the number of people who use both.
This means B=20
Region A is those who use F only. So you must subtract the number who use both.
This means that A=61-20=41
Region C is those who use G+ only.
This means C=28-20=8
Now A+B+C+D=72
This implies that:
41+20+8+D=72
69+D=72
D=72-69
D=3
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
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 question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So
Probability a unit is defective and from manufacturer A:
2% of 43%. So
What is the probability that it came from manufacturer A?
0.5015 = 50.15% probability that it came from manufacturer A.