Determine the probability of the following scenario: There are 8 nickels and six dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix up the change in your pocket. The first time, the coin is a nickel. The second time, it's a dime. The third time, it's a nickel. (Provide the probability correctly rounded to the third decimal place.)

5.(04.07) two different plants grow each year at different rates, which are represented by the functions f(x) = 4* and g(x) = 5x + 2. what is the first year the f(x) height is greater than the g(x) height? year 3 year 0 year 2 year 1

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

The difference between tax advoidance and tax evasion