The mean value of land and buildings per acre from a sample of farms is \( \$ 1800 \), with a standard deviation of \( \$ 100 \). The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? \( \$ 1927 \$ 2058 \quad \$ 1889 \$ 1462 \$ 1802 \$ 1896 \) Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. \( \square \) A. \( \$ 1896 \) \( \square \) B. \( \$ 1462 \) \( \square \) C. \( \$ 1889 \) \( \square \) D. \( \$ 2058 \) \( \square \) E. \( \$ 1927 \) \( \square \) F. \( \$ 1802 \)

Solve the inequality (algebraically). \( x(x+3)(5-x) \geq 0 \) A. \( [-3,0] \cup[5, \infty) \) B. \( [0,5] \) C. \( (-\infty,-3] \cup[0,5] \) D. \( (-\infty,-3) \cup(0,5) \) An answer without workstown is only worth ponit. Show vour work on vour paper. OA OB OC

A card is drawn randomly from a standard 52 -card deck. Find the probability of the given event. Give your answer as a reduced fraction. (a) The card drawn is 9 The probability is: (b) The card drawn is a face card (Jack, Queen, or King) The probability is : (c) The card drawn is not a face card. The probability is :

Simplify the expressions. Enter your answers in exponential form. a. \( \left((\sqrt{2} z)^{6}\right)^{8}=2^{24} z^{48} \) b. \( \left(\left(\frac{3 z}{x}\right)^{5}\right)^{10}=\frac{3^{50} z^{50}}{x^{50}} \) c. \( \left(\left(\frac{s}{t}\right)^{9}\right)^{11}=\frac{s^{99}}{t^{99}} \)

Previous Problem Problem List Next Problem (1 point) Determine the discriminant for \( -\left(5 x^{2}+3 x+3\right)=0 \) help (numbers) Based on the discriminant, what is the nature of the solution(s) for the equation? \( ? \)

An exponential function has a domain \( (-\infty, \infty) \) and range \( (4, \infty) \). What is the domain and range of its inverse? Domain of the inverse \( =\square \) Range of the inverse \( =\square \)