Determine data types appropriate for the following data: a. The average of four grades b. The number of days in a month c. The length of the Golden Gate Bridge d. The numbers in a state lottery e. The single-character prefix that specifies a component type For the following correct algebraic expressions and corresponding incorrect C++ expressions, find the errors and write corrected C++ expressions: a. (2)(3) + (4)(5) b. 4.6(3.0 + 14.9) (2)(3) + (4)(5) 4.6(3.0 + 14.9) Evaluate the following mixed-mode expressions and list the data type of the result. In evaluating the expressions, be aware of the data types of all intermediate calculations. a. 10.5 + 15/2 + 4.3 = b. 3 * 4 % 6 + 8 = Determine the output of the following program: #include using namespace std: int main()//a program illustrating integer truncation { cout