The joint probability density function of x and y is given by f(x, y) = 6/7 (x^2 + xy/2), 0 < x < 1, 0 < y < 2
a. verify that this is indeed a joint density function.
b. compute the density function of x.
c. find p(x > y)
d. find p(y > 0.5 x < 0.5)

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|

A11 gram sample of a substance that’s used to treat thyroid disorders has a k-value of 0.1247

Which graph correctly shows the solution of the compound inequality 4x < 16 or 11x > 121? -2 0 2 4 6 8 10 12 14 10 -2 0 2 4 6 8 10 12 14 lll0 -2 0 2 4 6 8 10 12 14 -2 0 2 4 6 8 10 12 14