Let Θ be the bias of a coin, i. e., the probability of Heads at each toss. We assume that Θ is uniformly distributed on [0,1] . Let K be the number of Heads in 9 independent tosses. By performing some fancy and very precise measurements on the structure of that particular coin, we determine that Θ=1/3 . Find the LMS estimate of K based on Θ .

Need ! discuss how to convert the standard form of the equation of a circle to the general form. 50 points

Giuseppi's pizza had orders for $931.00 of pizzas. the prices were $21 for a large pizza, 514 for a medium pizza, and $7 for a small pizza. the number of large pizzas was two less than four times the number of medium pizzas. thenumber of small pizzas was three more than three times the number of medium pizzas. how many of each size of pizza were ordered?

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?