Answer:
(4, 5 )
Step-by-step explanation:
Given the 2 equations
y = x + 1 → (1)
x + 2y = 14 → (2)
Substitute y = x + 1 into (2)
x + 2(x + 1) = 14 ← distribute and simplify left side
x + 2x + 2 = 14
3x + 2 = 14 ( subtract 2 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Substitute x = 4 into (1) for corresponding value of y
y = 4 + 1 = 5
Solution is (4, 5 )
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
The answer is (f*g)(3)=36
42 (1- 25/100) = 63/2 = 31.5 dollars
answer is $31.50
hope it helps