74.91/0.8 Please do step by step
1 answer:
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Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you will see that they both lie on the same horiztonal line, y = -10, with the focus 1/4 to the right of the vertex. This information tells you a ton of stuff. First, it tells you that, since a parabola "hugs" the focus, this parabola opens to the right and is of the form x = y-squared. This equation is
The information also tells us that p (the distance between the vertex and the focus) is .25. h is the "x" coordinate of the vertex and k is the "y" coordinate of the vertex, so h = -1, and k = -10. Filling in our formula:
Simplify the left to
and solve for x:
Answer:
Heights of 29.5 and below could be a problem.
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.
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.
This means that
There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus
Heights of 29.5 and below could be a problem.