Answer:
1. 0.1445
2. 0.3426
3. 0.6574
Step-by-step explanation:
Let L be the event that there is liquid in the bag
Let + the be event of a positive test.
we are given:
P(+ | L) = 0.99
P(+ | L') = 0.10
P(L) = 0.05
1. Find P(+), use the Law of Total Probability to do this:
P(+) = P(+|L)P(L) + P(+ | L')P(L')
= 0.99 * 0.05 + 0.1 * (1- 0.05)
= 0.1445
2. Find P( L | + ) = P( L ∩ + ) / P(+) . . . definition of conditional probability
= P( + | L ) P(L) / P(+) . . . again using definition of conditional probability
= 0.99 * 0.05 / 0.1445
= 0.3426
3. P( L' | + ) = 1 - P( L | + ) = 1 - 0.3426 = 0.6574
Answer:
1.09
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
68 degrees
Step-by-step explanation:
The ladder, the building and the ground together make up a right triangle with angle of elevation to be determined.
The side opposite this angle is 10 ft; the distance of the foot of the ladder from the building is 4 ft. Thus,
tan x = (opp side) / (adj side) = 10/4. Using the inverse tangent function, we find that the angle in question is
arctan (10/4) = 68 degrees
Answer:
Step-by-step explanation:
to find this all you need to do is subtract 13 and 25 from the left side of the equation to get the answer in the form of g=. in this case g= 15
Step-by-step explanation:
3 meters = 300 cm
anyway, the ratio tells us that the whole ribbon can be seen as the combination of 3 + 2 = 5 equally long parts.
one such part is then
3 m / 5 = 0.6 m or 60 cm
the shorter piece is 2 of these parts long :
2 × 0.6 = 1.2 m or 120 cm
