A hat contains 4 slips of paper numbered 1, 3, 4, and 7. A slip of paper is selected from the hat, and its number is recorded. The paper is returned to the hat and a second slip of paper is selected and its number is recorded. X is the number of times an even number is selected.

What is the probability distribution for the variable X?

Complete the probability distribution table.

Enter your answers, as simplified fractions, in the boxes.

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

You so much whoever answers with accuracy •the parent function of the graph of f(x) is the square root function, which was reflected across the x-axis. which of the following is the equation of f(x)?

Candice uses the function f(t)=t+100−−−−−−√ to model the number of students in her after-school program. the variable t represents days and f(t) represents the number of students. how many days does it take for there to be 15 students in her program? a. 225 days b. 125 days c. 325 days d. 115 days