Answer:
blue one (c), not independent because P(A|B) ≠ P(A)
Step-by-step explanation:
Two events are independent of each other if you can mulitply them to get their intersection
To find the conditonal probability of two independent events you can use the following idea/formula
P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)
Now with the numbers we're given let's find P(A|B)
.24/.9= .26666666666667
Because this is not equal to .3 (or P(A)) the answer must be the blue one
Answer:
H (x= -3 , y=5)
I (x=8 , y=2)
J (x= -3 , y= -5)
D is the distance between the 2 points so just plug in the x and y cords of each of the corresponding points
so for (HI)
you plug in 2 on the red x
and 8 on the red y
then -3 in the blue x
and 5 in the blue y
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
brainly.com/question/14391067
#SPJ1
I want to say D, but don't take my word for it. Good luck! <3
Answer:
(-1/3)v - 14/15
Step-by-step explanation:
Group the v terms together and then the constant terms:
v(-2/3 + 1/3) + (-6/5 + 4/15)
This simplifies to:
(-1/3)v + (-18/15 + 4/15), or
(-1/3)v - 14/15
