On his way to work every morning, bob first takes the bus from his house, exits near his workplace, and walks the remaining distance. his time spent on the bus (x) is a random variable that follows a normal distribution, with mean µ = 20 minutes, and standard deviation  = 2 minutes, i. e., x ~ n(20, 2). likewise, his walking time (y) is also a random variable that follows a normal distribution, with mean µ = 10 minutes, and standard deviation  = 1.5 minutes, i. e., y ~ n(10, 1.5). find the probability that bob arrives at his workplace in 35 minutes or less. [hint: total time = x + y ~ recall the "general fact" on page 4.1-13, which is true for both discrete and continuous random variables.]

Alonso walked with his friend andy one day, and wanted to compare their speeds. alonso walked 3 miles in one hour, and andy walked 2 miles in 2 hours. complete the table to graph the relationship for each person.

Can someone factor this fully? my friend and i have two different answers and i would like to know if either of them is right. you in advance. a^2 - b^2 + 25 + 10a

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).