Another, more adventurous flea lives on Z2 (the set of points in the plane with integer coordinates). Initially, the flea is at the origin, i.e., at the point (0,0). In one step, the flea can jump to an adjacent point to the right, to the left, up, or down. In how many ways can this flea perform 100 jumps and end up back at the origin?

Please explain and show ALL WORK! Please don't give handwrittten answer..thanku A sample of trout caught in a pond included 400 small fish and 100 adult fish (of adequate size). The 400 small fish were then returned to the pond. In addition, 1000 small fish were put in the pond. A few days later, another catch totaled 410 small fish and 80 adult fish. Estimate the number of trout in the pond after the second catch.

I need to have d, e, and f checked please.

Calculate Sam’s GPA and Samantha’s.

Please write it and dont type it, thank you.

Jake is a train conductor. Every day he rides 20 miles to Jonesboro, 17.5 miles to Carver City, and 76.3 miles to Clinton. He then travels the same route back home. How many miles does he travel each day?