25 points for first

anne is one of 24 students in her class. one student will be selected for the student senate. assuming all students have an equal chance of being selected, what is the probability that she will be chosen?

1. describe the sample space for this problem.

2. which outcome (or outcomes) of the sample space composes the event?

3. express the probability of anne being chosen for the student senate as a fraction and as a decimal.

4. describe the probability of anne being chosen for the student senate as impossible, unlikely, neither likely nor unlikely, likely or certain. justify your response.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

The table below shows the approximate height of an object x seconds after the object was dropped. the function h(x)= -16x^2 +100 models the data in the table. for which value of x would this model make it the least sense to use? a. -2.75 b. 0.25 c. 1.75 d. 2.25