Answer:
a) 6.68th percentile
b) 617.5 points
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:

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.



has a pvalue of 0.0668
So this student is in the 6.68th percentile.
b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.
He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.




Answer:
they are identical. proved below.
Step-by-step explanation:
- formula:

using the formula to proof:



True. proved that they are identical.
a) 2/5(n)=6 n=15
b) 4/7(x)=16/3 x=28/3 x=9.33333 x=9 1/3
any option for b works
i hope this is right and helps
-2+6x+4+4x
=2+10x
hope it helps
Two angles are called complementary when their measures add to 90 degrees