What is the value of x in the figure below?A. 22.5°B. 45°C. 55°D. 57.5°
1 answer:
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Answer:
The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
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:
Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.
This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.
The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
Answer:
For this case we know that represent the radius,
the height and the rate given is:
And replacing we got:
And that represent
Step-by-step explanation:
For a tank similar to a cylinder the volume is given by:
For this case we know that represent the radius,
the height and the rate given is:
For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:
And solving for we got:
We need to convert the rate given into m^3/min and we got:
And replacing we got:
And that represent