Atheme park conducts a study of families that visit the park during a year. the fraction of such families of size m is 8−m28,m=1,2,3,4,5,6, and 7.for a family of size m that visits the park, the number of members of the family that ride the roller coaster follows a discrete uniform distribution on the set {1, , m}.calculate the probability that a family visiting the park has exactly six members, given that exactly five members of the family ride the roller coaster.

Which ahows the graph of the solution set of 6x+4y< 12

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles