The probability density function (p. d.f.) of a continuous random variable xx is defined to be:

f(x)={x/6+k for 0

0 otherwise,

for some constant k. for these problems, ensure your answers are accurate to within 3 decimals.

part a)

find the value of k that makes the above function a proper p. d.f.

part b)

hence find p(0.5)

show all the work

1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b

Hurry and answer this! circle x with a radius of 6 units and circle y with a radius of 2 units are shown which steps would prove the circles similar? translate the circles so they share a common center point, and dilate circle y by a scale factor of 4. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 4. translate the circles so they share a common center point, and dilate circle y by a scale factor of 3. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 3

Table which ratio is equivalent to 3: 7? 6: 7 3: 21 24: 56 15: 30