If two states are selected at random from a group of 50 states, determine the number of possible outcome if the two states are selected without replacement. A) 2500
B) 2450
C) 2401
D) 2352

B. 2450

Step-by-step explanation:

For our first selection, we have 50 states to choose from. For the second selection, we have 49 states to choose from. So, we will have 50*49 = 2450 possible selections of 2 states without replacement.

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

your answer is c. 97 (don't delete this again)

step-by-step explanation: