Answer:
( a ) Probability that the test comes back negative for all four people = .9723
( b ) Probability that t he test comes back positive for at least one of the four people = .0277
Step-by-step explanation:
Given
The probability of the test will accurately come back negative if the antibody is not present = 99.1 = .991
The probability of the test will accurately come back positive if the antibody is not present = .009
Suppose the test is given to four randomly selected people who do not have the antibody .
( a ) Probability that the test comes back negative for all four people =
= = .9723
If we say E = P( all 4 test are negative) or we say E = P( not of the all 4 test are positive)
P( at least one of the 4 test are positive) = 1 - P( not of the all 4 test are positive) = 1 - P( all 4 test are negative)
( b ) Probability that t he test comes back positive for at least one of the four people = 1 - P( all 4 test are negative)
= 1 - .9723
= .0277
It’s a non-linear equation
Answer:
Tens digit, x = 3
Unit digit, y = 8
Number = 38
Step-by-step explanation:
Let the 2 digit number = xy
y = x + 5 - - - (1)
10x + y = 4(x + y) - 6
10x + x + 5 = 4(x + x + 5) - 6
11x + 5 = 4(2x + 5) - 6
11x + 5 = 8x + 20 - 6
11x + 5 = 8x + 14
11x - 8x = 14 - 5
3x = 9
x = 9/3
x = 3
From (1)
y = x + 5
y = 3 + 5
y = 8