Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is 
Step-by-step explanation:
From the question we are told that
The line is 
The point is P(0,0 )
Generally the equation for a line is 
Now comparing this with the given equation we see that
Generally the slope of the perpendicular to the given line is mathematically evaluated as
=> 
=> 
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and 
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
There was a 200% increase
I think it’s D I hope this helps!!!
324, 972, 2,916, 8,746, 26,244 hope this helped. you multiply each number by 3 to get the next number
