The 1st one is true
the 2nd one is false
the 3rd one is false
the 4th one is true
the 5th one is true
The lowest score you can earn and still be eligible for employment is 85.6925.
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 question, we have that:
Top 5%.
At least the 100-5 = 95th percentile.
The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.
x-75 = 1.645*6.5
x = 85.692
Thus the lowest score you can earn and still be eligible for employment is 85.6925.
Learn more about Standard Deviation on:
brainly.com/question/475676
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7. 0
9. 12
11. -2 (I'm not that sure, sorry)
Answer:
a.
b.
Step-by-step explanation:
To solve this question, we apply implicit differentiation.
xy = 2
Applying the implicit differentiation:
a. Find dy/dt, when x = 4, given that dx/dt = 13.
x = 4
So
Then
b. Find dx/dt, when x = 1, given that dy/dt = -9.
x = 1
So
Then