The answer is A. Working the formula backwards you get that r^2=256, so r=16
Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
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 question:

Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.


The score that separates the lower 5% of the class from the rest of the class is 55.6.
Answer: Step 4
<u>Step-by-step explanation:</u>
1. Define variable x as student signatures still needed (Correct)
(Correct)
3. 25% = 0.25 (Correct)
(Error)!
The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).
Step-by-step explanation:
Given that,
Two equations,
3x + 11 = 11 .....(1)
And
3(x - 3) = 45
or
3x-9=45 ....(2)
Subtract 11 on both sides of equation (1).
3x + 11-11 = 11-11
3x=0
x = 0
Add 9 to both sides of equation (2)
3x-9+9=45+9
3x = 54
x = 18
Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.