In a standard deck of cards there 52 cards of which 26 are black and 26 are red. Additionally, there are 4 suits, hearts, clubs, diamonds and spades, each of which has 13 cards. Two cards are drawn from the deck with replacement. B is the event of drawing a black card from the deck, K is the event of drawing a king from the deck. find P(B and K). Give the answer as a decimal rounded to 4 decimal places.

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Write the equations in logarithmic form 10^3=1,000

For the feasibility region shown below find the maximum value of the function p=3x+2y