1. Given the points P (1, - 4). Q (3,-2), R (-3,5), find the coordinates of the mid-points A and B of PO and PR respectively and distance AB. 2. Calculate the value of cand the mean of the distribution with probability density function f(x) = cx? where x = 2,3,4 and 5.

- 3. Calculate P(A) given that P (AUB)= 0.98 where, P(B) = 0.72, if A and B are mutually exclusive events.

4. Given the center of a circles as (1,2) and radius 13 find its equation.

5. Find the eccentricity and the foci of the ellipse x2 - y2 16 9 1.

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?

Acable company claims that the average household pays $78 a month for a basic cable plan, but it could differ by as much as $20. write an absolute value inequality to determine the range of basic cable plan costs with this cable company. a. |x − 78| ≥ 20 b. |x − 20| ≥ 78 c. |x − 20| ≤ 78 d. |x − 78| ≤ 20

Astudent solves the equation for v. start with the original equation. use the square root property. use the division property of equality. use the multiplication property of equality. simplify. which statement explains how to correct the error that was made? the square root property must be applied after all other properties of equality are applied. the multiplication property of equality should have been applied before the division property of equality. the division property of equality should have been applied to move the fraction to the other side of the equation. the square root property should have been applied to both complete sides of the equation instead of to select variables.