Answer:
Right option is C. Events A and B are not independent because P(B|A) ≠ P(B).
Step-by-step explanation:
We have given,
Probability of contamination in batch 1 of a drug (event A) ,P(A) = 0.16
Probability of contamination in batch 2 of the drug (event B), P(B) = 0.09
Also,
Probability of contamination in batch 2, given that there was a contamination in batch 1, P(B/A) = 0.12
Since P(B/A) ≠ P(B), Therefore events A and B are not independent events.
Right option is C. Events A and B are not independent because P(B|A) ≠ P(B).
Answer:
b=h/G
Step-by-step explanation:
let's substitute h for 6, G for 3, and b for 2. you can also do this with the product of any two numbers (ie, 8,2, and 4 & 20,4, and, 5, etc.). so we have the equation 6=(3)2. to get 2 by itself we need to divide both sides by 3. so we get 6/3=2. now just plug the variables back in place of the numbers and you have b=h/G. hope this makes sense!
Answer:
2x^{2} + \frac{3}{2} x - 5
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
(f+g)(x)= + =
Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
Answer:
x = 2
Step-by-step explanation by completing the square:
Solve for x:
x^2 - 4 x + 4 = 0
Write the left hand side as a square:
(x - 2)^2 = 0
Take the square root of both sides:
x - 2 = 0
Add 2 to both sides:
Answer: x = 2