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.




You would need to have the information of how it translated, wether it was left or right, or up or down. you would also want the information of how far it translated.
Answer:
The interest rate per year is 0.1
Step-by-step explanation:
The equation is A = P(1+rt)
Substitute the numbers
3500 = 2500 (1+4r)
solve for r:




Answer: it means simple interest
Step-by-step explanation it means simple interest because I means interest
Answer:
15
Step-by-step explanation:because u add them all up