Which of the graphs below correctly solve for x in the equation −x2 + 5x + 6 = 3x − 2? Graph of quadratic opening downward and l
inear sloping up to the right. They intersect at point negative 2, negative 8 and point 4, 10. Graph of quadratic opening upward and linear sloping up to the right. They do not intersect at point. Graph of quadratic opening downward and linear sloping down to the left. They intersect at point negative 0.9, 0.7. Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 1.3, negative 2.2 and point 3.23, 11.73.
1 answer:
The first one. They intersect at (-2,-8) and at (4,10).
You can find this graphically or algebraically.
Graphically by inputting both equations and using the intersect function.
Or algebraically by setting the equation to 0.
Finding the x intercepts then by factoring.
Then inputting the x values into either original equation to find the y intercepts for each.
You can find this graphically or algebraically.
Graphically by inputting both equations and using the intersect function.
Or algebraically by setting the equation to 0.
Finding the x intercepts then by factoring.
Then inputting the x values into either original equation to find the y intercepts for each.
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Answer:
0.2941 = 29.41% probability that it was manufactured during the first shift.
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: Manufactured during the first shift.
Probability of a defective item:
1% of 50%(first shift)
2% of 30%(second shift)
3% of 20%(third shift).
So
Probability of a defective item being produced on the first shift:
1% of 50%. So
What is the probability that it was manufactured during the first shift?
0.2941 = 29.41% probability that it was manufactured during the first shift.