Find the area of the shape

(shown in image)

The table shows the number of students who signed up for different after school activities. activity students cooking 9 chess 4 photography 8 robotics 11 select the true statements about the information in the table.

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x â’ 1 , y = 0, x = 5; about the x-axis v = sketch the region. sketch the solid, and a typical disk or washer.

Mobon oil company owns a lease that entitles it to explore for oil on a parcel of offshore land in california. since the lease is about to expire mobon must now decide whether to drill for oil at the site or to sell the lease to excel oil company, which has just offered mobon $50,000. mobon estimates it would cost $100,000 to drill at the site. if the well were dry, all this cost would be lost. if the well were successful, its value to mobon would depend on the extent of the oil discovered. for simplicity, mobon assumes there are only two types of successful wells: minor and major success. mobon estimates that a minor success would result in revenues of $200,000 in excess of the drilling cost, whereas a major success would result in revenue of $500,000 in excess of the drilling cost. mobon has assessed the following probabilities: if the well is dry then the probability is 0.7, if it is a minor success the probability is 0.2, and if it is a major success the probability is 0.1. a) construct an appropriate payoff matrix, b) using the maximax criterion, identify the optimal decision c) using the maximin criterion, identify the optimal decision d) using the minimax criterion, identify the optimal decision e) using the emv criterion, identify the optimal decision