Dragon boat racing is a competitive water sport that involves 20 paddlers propelling boat across various race distances. a study on elite dragon boat paddlers summarized an extensive statistical analysis of data obtained from a sample of 11 paddlers. it reported that a 95% confidence interval for true average force (n) during a simulated 200-m race (60.2, 70.6. assume the paddling force is normally distributed.

(a) briefly describe what needs to be done in order to assume "the force is normally distributed"
(b) obtain a 95% prediction interval for the force of a single randomly selected dragon boat paddler undergoing the simulated race.
(c) calculate an interval that includes at least 99% of the paddling forces in the popula- tion distribution using a confidence level of 95 %.

Last year amusement park received 236,758 visitors it was open every day of the year but 7 holliday’s what was the average number of visitors to the park per day

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 volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?