Answer:
264.
Step-by-step explanation:
Let x represent the number of trout in the lake.
We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.
Using proportions, we will get:
Therefore, there would be approximately 264 trout in the lake.
Answer:
The minimum score required for the job offer is 751.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What is the minimum score required for the job offer?
Top 14%, so the minimum score is the 100-14 = 86th percentile, which is X when Z has a pvalue of 0.86. So X when Z = 1.08.
Then
Rounding to the nearest whole number:
The minimum score required for the job offer is 751.