Name some real-life situations where graphing could be useful. Discuss your ideas. Name some real-life situations where finding
1 answer:
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Answer:
4\pm\sqrt{19}
Step-by-step explanation:
Move everything to left side
Now to solve this square equation we need to find Descriminant
As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula
Answer:
Warranty of 66 months.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If the company wants no more than 2% of the components to wear out before they reach the warranty date, what number of months should be used for the warranty?
Only the lowest 2% will be replaced, so the warranty is the value of X when Z has a pvalue of 0.02. So it is X when Z = -2.055.
Warranty of 66 months.
So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.
Firstly, the equation to find the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:
Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:
Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).