Answer: think were a week late
Step-by-step explanation:
Answer:
<h2>66 and 66</h2>
Step-by-step explanation:
opposite angles are equal
12x - 18 = 8x + 10
combine similar terms:
12x - 8x = 10 + 18
4x = 28
x = 28/4
x = 7
plugin the value of x=7 back into the equation to solve the angle
= 12x - 18
= 12(7) - 18
= 66
= 8x + 10
= 8(7) + 10
= 66
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