A population of paramecia, P, can be modeled using the exponential
1 answer:
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Answer:
P(X > 1.05) = 1 - 0.8413 = 0.1587 = 15.87%.
Step-by-step explanation:
Problems of normally distributed samples can be 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 P(X > 1.05).
This is 1 subtracted by the pvalue of Z when X = 1. So:
has a pvalue of 0.8413
So P(X > 1.05) = 1 - 0.8413 = 0.1587 = 15.87%.
The area of the deck is 36 square feet.
<u>Solution:</u>
Assume l is the length of the deck; w is its width, P is its perimeter and A is its area.
Given that length of a rectangular deck is 4 times its width
Perimeter of the deck is 30 ft
On substituting all the given values in (2) we get,
On dividing we get,
If w=3,
On substituting the values in the above formula we get,