The transportation safety authority (tsa) has developed a new test to detect large amounts of liquid in luggage bags. based on many test runs, the tsa determines that if a bag does contain large amounts of liquid, there is a probability of 0.93 the test will detect it. if a bag does not contain large amounts of liquid, there is a 0.09 probability the test will conclude that it does (a false positive). suppose that in reality only 5 in 100 bags actually contain large amounts of liquid.

1.what is the probability a randomly selected bag will have apositive test? give your answer to four decimal places.
2.given a randomly selected bag has a positive test, what is theprobability it actually contains a large amount of liquid? giveyour answer to four decimal places.

3. given a randomly selected bag has a positive test, what is theprobability it does not contain a large amount of liquid? give youranswer to four decimal places.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

can you put the picture up?

step-by-step explanation: