(04.01 LC)  The number of sodas a vendor sells daily has the probability distribution represented in the table. Number of Sodas, x 0 5 10 15 20 25 P(x) 0.01 0.15 0.25 0.3 0.25 0.04 If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas? (3 points)

Let u = , v = . Find 4u + 2v. (5 points)

Calculate the change in temperature resulting from removing 0.134 kJ of heat to a 50.00g block of aluminum. (Specific heat of aluminum is 0.901 J/g ºC. If the initial temperature was 25oC, what would be the final temperature.               

Find the derivative of f(x) = -10×2 + 4x at x = 11. (6 points)

Express the complex number in trigonometric form. 5 – 5i (5 points)

Let u = , v = . Find -4u + 2v. (5 points)

Let u = , v = . Find -2u + 4v. (5 points)

Find the derivative of f(x) = at x = -4. (6 points)

State whether the given measurements determine zero, one, or two triangles. C = 37°, a = 16, c = 14 (5 points)

(04.05 LC)  The weight of apples at the grocery store follows a Normal distribution with a mean of μ = 5 ounces and a standard deviation of σ = 1 ounce. Suppose we pick nine apples at random from the basket and find their total weight, W. Which of the following statements describes the random variable W? (3 points)