Solve the problem.How many liters of a 60%-alcohol solution must be mixed with 70 liters of a solution that is 90% alcohol to get a solution that is 70% alcohol?
A. 140 L
B. 210 L
C. 14 L
D. 21 L
Answer: A
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Solve the problem.Use a tree to show the employee relationships in the Allied Auto Parts Company. President Richards has two vice presidents: Greenberg and Marley. Greenberg is in charge of three regional managers: Reynolds, Hahn, and Johnson. Marley is in charge of two regional managers: Croft and Smith. Smith has an assistant: Lowell.
A.
B.
C.
D.
Use the sum/difference identities to simplify the expression. Do not use a calculator.cos cos
+ sin
sin
A.
B.
C. - 1
D.
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
Add. Simplify, if possible. +
A. 1
B.
C.
D.