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
Important fact: The slopes of perpendicular lines are negative reciprocals of one another. Thus, if the given line here has the slope 1/4, the slope of any line perpendicular to it will be -4 (the negative reciprocal of 1/4).
(0,2) is the y intercept of the new line.
Thus, the new line's equation is y = mx + b, or y = -4x + 2.
Just has to be greater than or equal to 0... w and t can never be negative since taking the square root of a negative number yields an imaginary number which would mean imaginary current. Also the question states that w can't be zero but if T is zero than the current will be zero.
Answer:
-3(3z+91)
Step-by-step explanation:
Hope this helps :)
−12(7z+4)+15(5z−15)
= -3(4(7z+4)-5(5z-15)
= -3(28z+16-25z+75)
= -3(3z+91)
Answer:
Step-by-step explanation:
