Admission officers in Colleges A and B use SAT scores as their admis-sion criteria. SAT scores are normally distributed with mean 500 andstandard deviation 80. College A accepts people whose scores are above600, and College B accepts the top 1% of people in terms of their SATscores.(a) What percentage of high school seniors can get into College A

10.56% of high school seniors can get into College A

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 question, we have that:

What percentage of high school seniors can get into College A

College A accepts people whose scores are above 600, so this is 1 subtracted by the pvalue of Z when X = 600. So

has a pvalue of 0.8944

1 - 0.8944 = 0.1056

10.56% of high school seniors can get into College A

its 4 because 2 times 2 is 4, if you double the number two you get four

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.