What is the approximate distance between points P and Q? Round your answer to the nearest hundredth.
2 answers:
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A) Since neither inequality includes the "or equal to" case, the boundary line for the solution set is a dashed line. For the first inequality, the shading is above the line; for the second, the shading is below the line. The solution set is points to the right of perpendicular lines with slope -2 and +1/2 through point (2, -1).
B) The point -2, 3 satisfies, neither inequality.
.. 3 > -2(-2) +3 . . . FALSE
.. 3 < 1/2(-2) -2 . . .FALSE
A) Since neither inequality includes the "or equal to" case, the boundary line for the solution set is a dashed line. For the first inequality, the shading is above the line; for the second, the shading is below the line. The solution set is points to the right of perpendicular lines with slope -2 and +1/2 through point (2, -1).
B) The point -2, 3 satisfies, neither inequality.
.. 3 > -2(-2) +3 . . . FALSE
.. 3 < 1/2(-2) -2 . . .FALSE
Answer:
The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease
Step-by-step explanation:
The number of persons in 10,000 people that have the disease = One
The percentage of people with the disease that test positive = 99.6%
The percentage of people who do not have the disease test positive = 0.05%
The probability that someone who tests positive has the genetic disease
P(disease) = 0.01% = 0.0001
P(positive disease) = 99.6% = 0.996
P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999
P(positivenodisease) = 0.05% = 0.0005
Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.
Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5
Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive
The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%
Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease
We have;
Step-by-step explanation:
Above values of C completes the square in given quadratic polynomials.