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

Use properties to rewrite the given equation. which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p?

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab