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:
c - cannot be determined; number of pitches is outside graph
Answer:
x = 58 and y = 15
Step-by-step explanation:
(c)
The sum of the 3 angles in a triangle = 180°
In Δ ADE
∠ DAE = 180° - (50 + 72)° = 180° - 122° = 58°
∠ DAE and ∠ CAB are vertical and congruent, thus
x = 58
(d)
Δ ACD is equilateral thus all 3 angles = 60°
∠ CAB and ∠ CAD are adjacent and supplementary, thus
∠ CAB = 180° - 60° = 120°
Since CA = BA then Δ ABC is isosceles with base angles congruent, thus
2y + 2y = 60
4y = 60 ( divide both sides by 4 )
y = 15
Answer:
A
Step-by-step explanation:
184/16=11.5
1) 4(x+7)=80
Value of x
Multiply
4x+28=80
4x=80-28
4x=52
X=52/4
X=13