Answer:
(x, y, z) = (-1, -4, -5)
Step-by-step explanation:
(x, y, z) = (Dx, Dy, Dz)/D = (-6, -24, -30)/6
(x, y, z) = (-1, -4, -5)
2011 because it has the higher gpa of all of them
Answer:
The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.
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:

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile
This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.




The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.
A) Action: multiply both sides by 4.
Have a look:
(x/4)x4=16x4
x=64
As you can see, the value of x can be found by multiplying 4 on both sides.
Hope I helped :)