Solve the system by substitution, if possible.
a. (6, 5)
b. (4, 7)
c. (–5, –1)
d. No solution; inconsistent system
d. No solution; inconsistent system
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Find the probability. Round to the nearest ten-thousandth when necessary.A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability that you have all lemon candies.
A. 0.061 B. 1 C. 0.1212 D. 0
Provide an appropriate response.Factor: x2 + 6x + 9
What will be an ideal response?
Solve the equation.3(x + 4) = 4(x - 6)
A. {4} B. {-12} C. {-36} D. {36}
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