A small school with 60 total students records how many of their students attend school on each of the 180 days in a school year. The mean number of students in attendance daily is 55 students and the standard deviation is 4 students. Suppose that we take random samples of 5 school days and calculate the mean number of students x ˉ x ˉ x, with, \bar, on top in attendance on those days in each sample. Calculate the mean and standard deviation of the sampling distribution of x ˉ x ˉ x, with, \bar, on top. You may round to one decimal place.

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.

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

Negative 5 1/12 + negative 4 1/4 + 6 3/4