A 5-card hand is dealt from a perfectly shuffled deck of playing cards. What is the probability of each of the following events? (a) The hand has at least one club. (b) The hand has at least two cards with the same rank. (c) The hand has exactly one club or exactly one spade. (d) The hand has at least one club or at least one spade.

Consider the following equation -167 + 37 = 49 - 21p select the equation that has the same solution as the given equation. o a. p - 5 + ip = 7 - p ob. +55 + 12p = 5p + 16 c. 2 + 1.25p = -3.75p + 10 d. -14 + 6p = -9 - 6p reset next

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

(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.)