Give an example of a set of data for which the mode best represents the data. Explain.

Give an example of a set of data for which the mode best represents the data. Explain.

A 57 g tennis ball is served at 45 m/s. If the ball started from rest, what impulse was applied to the ball by the racket?

At what speed do a bicycle and its rider, with a combined mass of 100 kg, have the same momentum as a 1500 kg car traveling at 1.0 m/s?

(a) Calculate the frequency of revolution and the orbit radius of the electron in the Bohr model of hydrogen for n = 100, 1000, and 10,000. (b) Calculate the photon frequency for transitions from the n to n - 1 states for the same values of n as in part (a) and compare with the revolution frequencies found in part (a). (c) Explain how your results verify the correspondence principle.

Why do you think Hodgman uses humor so extensively in this essay? Include some specific examples to support your answer.

Solve, if possible, the given system of differential equations by either systematic elimination or determinants. $\frac{d x}{d t}-6 y \quad=0\\ x-\frac{d y}{d t}+z=0 \\ x+y-\frac{d z}{d t}=0$

Find all the solutions to the system of linear congruences $x \equiv 1(\bmod 999), x \equiv 2(\bmod 1001), x \equiv 3(\bmod 1003), x \equiv 4(\bmod 1004),$ and $x \equiv 5(\bmod 1007)$

A differential equation of the form $d y / d x=f(a x+b y+c), b \neq 0$ can always be reduced to an equation with separable variables by means of the substitution u = ax + by + c. Use this procedure to solve Problems. $\frac{d y}{d x}=\frac{1-x-y}{x+y}$

Would the liquid-drop model or the independent-particle model be more appropriate for predicting the behavior of a nucleus in a fission reaction? Which would be more successful at predicting the magnetic moment of a given nucleus? Which could better explain the gamma-ray spectrum of an excited nucleus?

A headset can be manufactured for $.17. The development cost is$150,000. Graph the function that represents the average cost of a headset. About how many must be manufactured to result in a cost of less than $ 5 per headset?

Write in the blank whether the sentence is simple or compound. _____ The marching band won a top rating at the state band contest.

Draw one line under each adjective clause and two lines under each word that introduces an adjective clause. The computer that Jack wants to buy has many impressive features.

Consider a particle moving in a one-dimensional box with walls at x = ?L/2 and x = L/2. (a) Write the wave-functions and probability densities for the states n = 1, n = 2, and n = 3. (b) Sketch the wavefunctions and probability densities.