A certain flight arrives on time 89 percent of the time. Suppose 186 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 172 flights are on time. (b) at least 172 flights are on time. (c) fewer than 175 flights are on time. (d) between 175 and 179, inclusive are on time. (a) P(172)=(Round to four decimal places as needed.)​

For what values of b will f(x)= logbx be a decreasing function? (16 )

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

What is not true about kl and mn? what is mn? (show )