Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
2 answers:
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Answer:
The likelihood of a battery being produced by Factory A and being defective is 0.012, which corresponds to 1.2%.
Step-by-step explanation:
We have two manufacturers of batteries for mobile phones: Factory A and Factory B. Factory A is responsible for 60% of the total battery production, while Factory B accounts for the remaining 40%.
Out of the batteries made by Factory A, 2% are found to be defective, whereas 4% of those from Factory B are defective.
Let P(A) denote the probability that a battery comes from Factory A, therefore P(A) = 0.60.
The probability that a battery originates from Factory B can be denoted as P(B) = 0.40.
Furthermore, define D as the event indicating that a battery is defective.
Thus, the probability of a defect given that a battery is from Factory A is P(D/A) = 0.02.
For Factory B, the probability of a defect given it is from there is P(D/B) = 0.04.
The probability for a battery being made at Factory A and also being defective can be calculated as follows:
Probability that Factory A produces batteries Probability that a battery from Factory A is defective
= P(A) P(D/A)
= 0.60 0.02 = 0.012 or 1.2%
Conclusively, the probability that a battery is both from Factory A and defective is 1.2%.
Answer:
The answer is A. 990.
Step-by-step explanation:
To determine the maximum duration that any of the mowers can run.
The three lawn-service mowers have an average operating time of 930 minutes.
Thus, the overall duration for the three lawn mowers is
The shortest time any mower runs is 900 minutes.
To find the longest operating time of any mower:
Let represent the maximum operating time for any of the mowers.
Since any of the mowers works the longest time.
Consequently, the remaining two mowers operate at the minimum time.
Based on the question:
After subtracting 1800 from both sides:
Thus, the maximum potential operating time for any mower is 990 minutes.
Consequently, the answer is A. 990.