Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?
A. 0.438
B. 0.487
C. 0.91
D. 0.856
Answer: B
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Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses that he sells at the local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 40 hours per week and he must produce more chairs than dog houses. Write a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced in a week. 
A. 
B. 
C. 
D. 
Simplify the expression by using the order of operations.2 ? 6 + 2(7 + 3) + 4
A. 33 B. 40 C. 36 D. 164
Solve the equation by making an appropriate substitution.x4 - 13x2 + 36 = 0
A. {-2, 2, -3, 3} B. {-2i, 2i, -3i, 3i} C. {2, 3} D. {4, 9}
Refer to the following recipe to answer the question. Give your answer as a mixed numeral. Grandma's Fork Cookies 1 src="https://sciemce.com/media/4/ppg__10620191650__f1q44g6.jpg" style="vertical-align: -17.0px;" /> tsp vanillaCream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into balls, then flatten with a fork. Cook until brown.If the recipe is doubled, how much brown sugar will be needed?
cup brown sugar 1
cup white sugar 1
cup shortening 1 pinch salt 3 eggs 2
tsp soda 2
tsp cream of tartar 1
A. 5 cups
B. 4 cups
C. 2
cups
D. 3 cups