Answer:
m x 4 = 12?
Answer is this is right, then m is 3.
Y=mx+b
parallel lines will have the same slope.
using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.
6 = (-3)(-4) + b
6 = 12 + b
-12 + 6 = -12 + 12 +b
-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6
Answer:
Step-by-step explanation:
We have been given an expression 
. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form 
.
To convert our given expression into perfect square trinomial, we need to add and subtract 
from our given expression.
We can see that value of b is 11, so we need to add and subtract 
to our expression as:
Upon comparing our expression with 
, we can see that 
, 
and 
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
Answer:
r=4 :)
Step-by-step explanation:
