A frog is positioned at the origin of the coordinate plane. From the point (x, y), the frog can jump to any of the points (x 1, y), (x 2, y), (x, y 1), or (x, y 2). Find the number of distinct sequences of jumps in which the frog begins at (0, 0) and ends at (4, 4).

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Fill in the table with whole numbers to make 430 in five different ways