9. Scores on the SAT form a normal distribution with a mean of 500 and a standard deviation of 100. a.)What is the minimum score necessary to be in the top 20% of the SAT distribution?

b.) Find the range of values that defines the middle 80% of the distribution of SAT scores?

10. For a normal distribution, find the z-score that separates the distribution as follows:

a.) Separate the highest 30% from the rest of the distribution?

b.) Separate the lowest 40% from the rest of the distribution?

c.) Separate the highest 75% form the rest of the distribution?

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20