Is this equation true? 0.025 + 0.17 = 0.42
2 answers:
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Answer:
The minimum income level for this target group is of $51,253.6.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of $41,182 and a standard deviation of $11,990
This means that
Find the minimum income level for this target group.
The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
The minimum income level for this target group is of $51,253.6.
Answer:
C. (-1, 0)
Step-by-step explanation:
(You don't need a picture to figure this out...it's simple algebraic manipulation.)
We could start off by rewriting the equation for the parabola with the negative on the other side, which tells us then that the parabola opens downward:
Dividing both sides by -1 doesn't change anything. Because this parabola opens downward, the focus is p units below the vertex at the same x-coordinate. The vertex can be found from the equation to be (-1, 2). The standard form of a parabola of this type is
where is the number of units between the vertex and the focus. Our equation to find p is:
4p = 8 so p = 2.
That means that the focus is 2 units below the vertex at the x coordinate of -1. Moving 2 units down from the y coordinate of 2 leaves us at a y coordinate of 0. Therefore, the coordinates of the focus have to be (-1, 0)