The scores on the SAT verbal test in recent years follow approximately the normal distribution distribution. Students get a mean score of 536 with a standard deviation of 115. Use technology to answer these questions.
a. What is the proportion of students scoring under 400 (4 decimal positions)?
b. What is the proportion of students scoring between 400 and 550? (4 decimal positions)
C. What is the proportion of students scoring over 550? (4 decimal positions)
d. How high must a student score to place in the top 10% of all students taking the SAT? State answer as a
whole number

Factor the expression using the gcf. the expression 21m−49n factored using the gcf

When solving this problem: 3025/5.5 = a/90.75 you get 49912.5 which would be the length of one of the sides of a square when the area is only 90.75 inches. is that answer correct, why, and how is it possible?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.